Birkhäuser History & Philosophy of Science 2008/2009

1 Highlights

The Physical Tourist A Science Guide for the Traveler ƒƒ Find out where famous scientists lived, worked, and where important discoveries were made ƒƒ Add science to your sightseeing and enrich your understanding and appreciation for the city ƒƒ A wonderful gift for all, especially those interested in physics or general science

See page 17

New Series

The Moon that Wasn’t Israel Gohberg and Friends Studies in See page 16 See page 7 Universal Logic See page 23

Nexus Network Eine kleine Erhabene Welten Journal Nachtphysik See page 26 See page 8 See page 28

2 Contents History of Mathematics 4 History of Physics / Astronomy 16 History of Science 18 Biographies 21 Philosophy of Science 23 Deutschsprachige Titel / German language titles 25 The Collected Scientific Papers of the Mathematicians and Physicists of the Bernoulli Family 30 Leonhard Euler: Opera Omnia 32

Series Index 36 Journals 38 Authors and Editors Index 39 Contact Information 40

Birkhäuser Online For more information on our books and journals, including table of contents and reviews, please visit www.birkhauser.ch

ƒƒ New titles ƒƒ Journals ƒƒ Book Series ƒƒ Conferences ƒƒ Contacts

T Textbooks suitable for undergraduate, TEXTBOOK advanced undergraduate or graduate students

3 History of Mathematics

Forthcoming Titles

Ancient Indian Leaps into Mathematics Yadav, B.S., University of Delhi, India / Mohan, M., Ramjas College, University of Delhi, India (Eds) Due in March 2009 draft

2009. Approx. 200 p. 30 illus. Softcover A Lost Mathematician, ISBN 978-0-8176-4694-3 Takeo Nakasawa The Forgotten Father of Matroid Theory Selected Works of A.I. Shirshov Nishimura, H., Tsukuba University, Japan / Bokut, L.A., Sobolev Institute of Kuroda, S., Passau, Germany (Eds) Mathematics, Novosibirsk, Russia / Due in December 2008 Zelmanov, E., UCSD, La Jolla, USA / Shestakov, I., IME-USP, Sao Paulo, Brazil / Matroid theory was invented independently Latyshev, V., MGU im. Lomonosova, Moscow, by two mathematicians in the middle of Russia (Eds) the 1930’s, namely, Hassler Whitney in USA CM – Contemporary Mathematicians and Takeo Nakasawa in Japan. The former is famous, but unfortunately the latter had Due in Spring 2009 remained anonymous until a decade or two ago. The latter is still less known than the 2009. Approx. 250 p. Hardcover ISBN 978-3-7643-8857-7 former. The book consists of four parts. The first part consists of his four German papers, which Fields and Models were published in the same journal issued From Sturm to Tarski and Robinson by a Japanese extinct university. The second Sinaceur, H.B., CNRS, Paris, France part consists of their English translations. The third part is devoted to an explanation Due in Autumn 2009 of Nakasawa’s life and his times. The fourth 2009. XXVI, 446 p. 5 illus. Hardcover part deals with the comparison between the ISBN 978-0-8176-4114-6 two fathers of matroid theory.

2009. Approx. 150 p. Hardcover The Algebraic Mind EUR 49.90 / CHF 89.90 / ISBN 978-3-7643-8572-9 Galois Theory in the 19th Century Martini, L., Siena, Italy / Toti Rigatelli, L., Università di Siena, Italy SNHS – Science Networks. Historical Studies Due in Autumn 2009

2009. Approx. 230 p. Hardcover ISBN 978-3-7643-8802-7

4 History of Mathematics

T TEXTBOOK

Japanese Mathematics The Theory of the Top in the Edo Period (1600-1868) Volume 1 Horiuchi, A., Paris, France Introduction to the Kinematics and SNHS – Science Networks. Historical Kinetics of the Top Studies Klein, F. / Sommerfeld, A.

Due in December 2008 The Theory of the Top: Volume I. Introduction to the Kinematics and Kinetics of the Top is The book presents the main features of the the first of a series of four self-contained Wasan tradition, which is a mathematical English translations of the classic and tradition which developed in Japan during definitive treatment of rigid body motion. the Edo period (1600-1868). It gives a Key features: description of the first mathematical ‚‚ Complete and unabridged presentation textbooks published in the 17th century, with recent advances and additional notes then shifts to the work of the two leading ‚‚ Annotations by the translators provide mathematicians of this tradition, Seki insights into the nature of science and Takakazu et Takebe Katahiro. mathematics in the late 19th century The book provides substantial information ‚‚ Each volume interweaves theory and on the historical and intellectual context, applications the role played by the Chinese mathematical Volume I focuses on providing fundamental treatises introduced at the late 16th century, background material and basic theoretical and an analysis of Seki’s and Takebe’s concepts. The Theory of the Top was contribution to the development of algebra originally presented by Felix Klein as an and calculus in Japan. 1895 lecture at Göttingen University that was broadened in scope and clarified 2009. Approx. 350 p. Hardcover EUR 189.– / CHF 329.– / ISBN 978-3-7643-8744-0 as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this a thorough and insightful account. Other volumes in this series include Development of the Theory for the Heavy Symmetric Top, Perturbations: Astronomical and Geophysical Applications, and Technical Applications of the Theory of the Top.

2008. Approx. 300 p. 43 illus. Hardcover EUR 64.90 / CHF 115.– / ISBN 978-0-8176-4720-9

5 History of Mathematics

Collected Works of Charles Patterns of Change François Sturm Linguistic Innovations in the Pont, J.-C., Université de Genève, Development of Classical Mathematics Switzerland (Ed.) Kvasz, L., Comenius University, Bratislava, Slovakia, and Charles University, Praha, Charles François Sturm was born in Geneva, Czech Republic Switzerland, on September 29, 1803. He obtained his scientific education in this SNHS – Science Networks. Historical city and began his rich scientific career Studies, Vol. 36 there through significant research in sound propagation and compressibility of fluids. The book offers a reconstruction of linguistic In September of 2003, on the occasion of innovations in the history of mathematics. It the 200th anniversary of his birth, his home argues that there are at least three ways in city honoured his worldwide recognition which the language of mathematics can be with a colloquium and workshop under the changed. sponsorship of the University of Geneva. As illustration of changes of the first kind, This volume is based on lectures presented called re-codings, is the development at that colloquium, which focused on along the line: synthetic geometry, analytic C.F. Sturm’s own work. The book contains a geometry, fractal geometry, and set theory. selection of reproductions of his scientific In this development the mathematicians publications. Sturm contributed notably to changed the very way of constructing geometry (theory of polygons, elementary geometric figures. geometry, projective geometry, conic As illustration of changes of the second kind, sections), algebra, analysis (differential called relativization, is the development equations, series), optics (caustics, of synthetic geometry along the line: physiological optics), mechanics, and Euclid’s geometry, projective geometry, non- other areas of physics (particularly fluid Euclidean geometry, Erlanger program up to mechanics and speed of sound in water). Hilbert’s Grundlagen der Geometrie. Changes of the third kind, called 2008. Approx. 750 p. Hardcover re-formulations are for instance the changes EUR 149.– / CHF 259.– / ISBN 978-3-7643-7989-6 that can be seen on the different editions of Euclid’s Elements. Perhaps the best known Sturm-Liouville Theory among them is Playfair’s change of the formulation of the fifth postulate. Past and Present Amrein, W.O. / Hinz, A.M. / Pearson, D.B. 2008. XVIII, 264 p. Hardcover (Eds) EUR 99.– / CHF 175.– / ISBN 978-3-7643-8839-3

2005. XX, 335 p. Hardcover EUR 69.90 / CHF 119.00 / ISBN 978-3-7643-7066-4

6 History of Mathematics

Israel Gohberg and Friends Ettore Majorana On the Occasion of his 80th Birthday Aspects of his Scientific Bart, H., Erasmus Universiteit Rotterdam, and Academic Activity The Netherlands / Hempfling, T., Basel, Guerra, F., Università di Roma La Sapienza, Switzerland / Kaashoek, M.A., Vrije Italy / Robotti, N., Università di Genova, Italy Universiteit Amsterdam, The Netherlands (Eds) PSNS – Publications of the Scuola Normale Superiore, Vol. 6 This book is dedicated to Israel Gohberg on occasion of his 80th birthday on Little more than one hundred years have August 23, 2008. It is an expression gone by since the birth of Ettore Majorana, of esteem and friendship for a great a highly renowned theoretical physicist. mathematician, a remarkable person and an His career was brief and irregular but very inspiring colleague. intense, and he disappeared in March The book contains reflections by Gohberg 1938 in circumstances that are still not himself on his own mathematical activities completely clear. and those of others. It also includes This volume is a contribution to a better contributions of colleagues and co-workers, understanding of the scientific, academic both from his time in the Soviet Union and human personality of Ettore Majorana, and from when he lived and worked in the beyond the layers of legendary aspects West. The contributions in question are not which have accumulated over the years. mathematical research papers but focus on Based on primary sources alone – scientific the man Israel Gohberg and are intended literature of the period and numerous for a wide audience. To be found are letters, archival documents – the figure of Ettore speeches, laudatios and reminiscences Majorana emerges in a completely new light. which, together, present an attractive A rich reproduction of original documents picture of the way in which Israel Gohberg in completes the volume. the past four to five decades influenced the 2008. XII, 243 p. Softcover lives of many mathematicians. Biographical EUR 23.– / CHF 38.– / ISBN 978-88-7642-331-4 material such as a curriculum vitae, a list of publications, a list of Ph.D. students and information about honorary doctoral degrees is also included.

2008. XIV, 324 p. Hardcover EUR 39.90 / CHF 69.90 / ISBN 978-3-7643-8733-4

7 History of Mathematics

Lacroix and the Calculus Nexus Network Journal Caramalho Domingues, J., University of Architecture and Mathematics Minho, Braga, Portugal Williams, K., Torino, Italy (Ed.) SNHS – Science Networks. Historical Studies, Vol. 35 Nexus Network Journal 10,2

Silvestre François Lacroix (Paris, 1765 - ibid., Due in December 2008 1843) was a most influential mathematical book author. His most famous work is the This volume features a collection of papers three-volume Traité du calcul différentiel dedicated to “Canons of Form-Making”, in et du calcul intégral (1797-1800; 2nd ed. honor of the 500th anniversary of the birth 1810-1819) – an encyclopedic appraisal of architect Andrea Palladio (1508-1580). of 18th-century calculus which remained Theorist as well as practitioner, Palladio’s the standard reference on the subject architecture was based on well-defined through much of the 19th century, in spite of canons that he had gleaned from studying Cauchy’s reform of the subject in the 1820’s. the treatises as well as the remains of Lacroix and the Calculus is the first major architecture from antiquity. Palladio study of Lacroix’s large Traité. It uses the himself left to posterity not only his large unique and massive bibliography given corpus of built works, but his Quattro libri by Lacroix to explore late 18th-century d’architettura. Three of the papers in this calculus, and the way it is reflected in issue are specifically about Palladio and his Lacroix’s account. Several particular work. The other papers deal with canons of aspects are addressed in detail, including: form-making, ancient and contemporary. the foundations of differential calculus, 2009. Approx. 150 p. Softcover analytic and differential geometry, EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8765-5 conceptions of the integral, and types of solutions of differential equations (singular/ complete/general integrals, geometrical Nexus Network Journal 10,1 interpretations, and generality of arbitrary functions). The quintessential Renaissance Man, Leonardo da Vinci was well aware of the 2008. XIV, 468 p. Hardcover EUR 119.– / CHF 209.– / ISBN 978-3-7643-8637-5 fundamental importance of mathematics for architecture. This issue of the Nexus Network Journal examines Leonardo’s knowledge of theoretical mathematics, explores how he used concepts of geometry in his designs for architectural projects, and reports on a real-life construction project using Leonardo’s principles. Authors include

8 History of Mathematics

Sylvie Duvernoy, Kim Williams, Rinus Roelofs, Mamluk madrasas, religious schools. Giulio Biagio Di Carlo, Mark Reynolds, João Pedro Magli goes back further in history, to the Xavier, Vesna Petresin, Christopher Glass, age of Greek colonies in Italy before they and Jane Burry. To complete the issue were conquered by the Romans, to examine Rachel Fletcher writes her Geometer’s patterns in urban design. In Traditional Angle column on “Dynamic Symmetry”, Patterns in Pyrgi of Chios: Mathematics Michael Ostwald reviews A Theory of and Community Charoula Stathopoulou General Ethics by Warwick Fox, Sarah examines the geometric patterns that Clough Edwards reviews Inigo Jones and the decorate the buildings of the town of Pyrgi, Classical Tradition by Christy Anderson, and on the Greek island of Chios. Curve Fitting Sylvie Duvernoy reviews Architecture and is a study of ways to construct a function Mathematics in Ancient Egypt by Corinna so that its graph most closely approximates Rossi. the pattern given by a set of points. Dirk Huylebrouck’s paper examines how a pattern 2008. 206 p. Softcover EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8727-3 of points extracted from an arch might be associated to a precise mathematical curve. James Harris looks at the designs of Frank Nexus Network Journal 9,2 Lloyd Wright and Piet Mondrian to extract the rules of their pattern generation and This volume is dedicated to “Mechanics propose possible applications. in Architecture”, that is, the science of 2007. 158 p. Softcover structural mechanics, including the EUR 49.90 / CHF 85.– / ISBN 978-3-7643-8443-2 behaviour of structures, internal forces, and deformation, as well as the development of new structural systems to resist thrusts as a Nexus Network Journal 8,2 result of new architectural forms. It is a field 2006. 121 p. 77 illus. Softcover of enquiry that examines a particular aspect EUR 38.– / CHF 58.– / ISBN 978-3-7643-7761-8 of the relationships between architecture and the mathematical sciences. Some of Nexus Network Journal 8,1 the papers in this issue were presented at 2006. 144 p. Softcover the Nexus 2006 conference during a special EUR 38.– / CHF 58.– / ISBN 978-3-7643-7747-2 session dedicated to mechanics. Other research papers focus on an eighteenth- Nexus Network Journal 7,2 century Belgian pyramid, aspects of 2006. 118 p. Softcover “fractal” architecture, and properties of a EUR 38.– / CHF 58.– / ISBN 978-88-88479-13-2 family of irrational values. The issue also includes a description and evaluation of a Nexus Network Journal 7,1 university-level course in architecture and 2005. 171 p. Softcover mathematics, Rachel Fletcher’s Geometer’s EUR 38.– / CHF 58.– / ISBN 978-88-88479-32-3 Angle column, and book reviews. Nexus Network Journal 6,2 2008. 382 p. Softcover EUR 49.90 / CHF 89.– / ISBN 978-3-7643-8444-9 2004.142 p. Softcover EUR 38.– / CHF 58.– / ISBN 978-88-88479-33-0

Nexus Network Journal 9,1 Nexus Network Journal 6,1 2004. 160 p. Softcover This issue is dedicated to various kinds of EUR 38.– / CHF 58.– / ISBN 978-88-88479-10-1 patterns in architecture. Buthayna Eilouti and Amer Al-Jokhadar address patterns in shape grammars in the ground plans of 9 History of Mathematics

Perspectives on the History of Mathematical Logic Drucker, T., University of Wisconsin, Whitewater, WI, USA (Ed.)

Modern MBC – Modern Birkhäuser Classics Birkhäuser Reprint of the 1991 ed. Classics 2008. XXVI, 196 p. 10 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4768-1

Linear Differential T Discrete Thoughts Equations and Group TEXTBOOK Theory from Riemann Essays on Mathematics, Science and Philosophy to Poincare Kac, M., University of Southern California, Gray, J.J., The Open University, Milton CA, USA / Rota, G.-C. / Schwartz, J.T., New Keynes, UK York University, New York, NY, USA MBC – Modern Birkhäuser Classics MBC – Modern Birkhäuser Classics 2nd ed. 2000. 2nd printing Reprint of the 1992 2nd ed. 2008. XXII, 338 p. 30 illus. Softcover 2008. XII, 264 p. 5 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4772-8 EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4774-2

Bernhard Riemann 1826-1866 Indiscrete Thoughts Turning Points in the Conception of Rota, G.-C. Mathematics Laugwitz, D., Technische Hochschule, MBC – Modern Birkhäuser Classics Darmstadt, Germany Reprint of the 1997 ed. 2008. XXII, 280 p. 1 illus. Softcover MBC – Modern Birkhäuser Classics EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4780-3

1st ed. 1999. 2nd printing 2008. XX, 358 p. 40 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4776-6 Riemann, Topology, and Physics Monastyrsky, M.I., Institute for Theoretical and Experimental Physics, Moscow, Russia The Non-Euclidean T MBC – Modern Birkhäuser Classics Revolution TEXTBOOK Trudeau, R.J., Stonehill College, Easton, 2nd ed. 1999. 2nd printing 2008. XVIII, 216 p. 45 illus. Softcover MA, USA EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4778-0 MBC – Modern Birkhäuser Classics 1st ed. 2001. 2nd printing Number Theory 2008. XVI, 270 p. 255 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4782-7 An approach through history from Hammurapi to Legendre Weil, A., Princeton University, deceased MBC – Modern Birkhäuser Classics

1st ed. 1987., 4th printing 2007. XXII, 376 p. 18 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4565-6

10 History of Mathematics

T TEXTBOOK

A History of Abstract Algebra Leonhard Euler Kleiner, I., York University, Toronto, ON, A Man to Be Reckoned With Canada Heyne, A.K. / Heyne, A.K. (text) Pini, E. (illustrations) Prior to the nineteenth century, algebra meant the study of the solution of His ideas turned the mathematical world polynomial equations. By the twentieth on its head. He calculated the currents of century it came to encompass the study of liquids, the moment of inertia, developed abstract, axiomatic systems such as groups, the calculus of variations and the modern rings, and fields. This presentation provides number theory. As scientist he should be an account of the history of the basic placed on the same level as Newton and concepts, results, and theories of abstract Einstein. Engineers all over the world use algebra. his formulas every day – whether it be for The development of abstract algebra was constructing the hull of the “Alinghi” or for propelled by the need for new tools to calculating the vibrations of the “Viaduc de address certain classical problems that Millau”, the world’s highest motorway bridge. appeared unsolvable by classical means. A He was, however, a man who loved the peace major theme of the approach in this book is and quiet of his home life – not easy at the to show how abstract algebra has arisen in time of the foundation of St. Petersburg, attempts to solve some of these classical when murdering czars was daily business; problems, providing a context from which or in Berlin at the time of the Silesian wars; the reader may gain a deeper appreciation and particularly not in the midst of a crowd of the mathematics involved. of children. Mathematics instructors, algebraists, and The comic by Elena Pini (illustrations) and historians of science will find the work Alice and Andreas K. Heyne (text) follows a valuable reference. The book may also the life of the genius from Basel, who, born serve as a supplemental text for courses 300 years ago, would set out to change the in abstract algebra or the history of scientific world. mathematics. 2007. 52 p. Hardcover 2007. XVI, 168 p. 24 illus. Softcover EUR 19.90 / CHF 32.90 / ISBN 978-3-7643-8332-9 EUR 39.90 / CHF 65.– / ISBN 978-0-8176-4684-4 German edition ISBN 978-3-7643-7779-3 Page 28

11 History of Mathematics

Jacopo da Firenze’s Tractatus of the nineteenth century, above all the Algorismi and Early Italian work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Abbacus Culture Three details the development of set theory Høyrup, J., Roskilde University, Denmark up to 1950, taking account of foundational SNHS – Science Networks. Historical questions and the emergence of the modern Studies, Vol. 34 axiomatization.” — Bulletin of Symbolic Logic

The book deals with a Tractatus algorismi 2nd, revised ed. written in 1307 in Montpellier by a certain 2007. XXV, 466 p. 7 illus. Softcover Jacopo da Firenze. This work is one of the EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8349-7 earliest surviving “abbacus” treatises, that is, textbooks for the vernacular school Tool and Object for merchant youth which sprung up in Northern Italy in the later 13th century, and A History and Philosophy of Category Theory by far more orderly than any of the extant Krömer, R., University of Nancy, France predecessors. It is also the first to contain a SNHS – Science Networks. Historical presentation of algebra. Studies, Vol. 32 The book contains an edition and an English translation of a manuscript from c. 1450 Category theory is a general mathematical which is a meticulous copy of a meticulous theory of structures and of structures of copy; a critical edition of an abridged version structures. It occupied a central position of which two manuscripts exist, and an in contemporary mathematics as well as extensive discussion of the contents of computer science. This book describes the treatise and its location within early the history of category theory whereby abbacus culture – including evidence that illuminating its symbiotic relationship to this culture was transnational and probably algebraic topology, homological algebra, older in the Catalan-Provençal area than in algebraic geometry and mathematical logic Italy. and elaboratively develops the connections with the epistemological significance. 2007. XII, 482 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-8390-9 2007. XXXVI, 367 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-7523-2 Labyrinth of Thought Second Edition A History of Set Theory and The Legacy of Mario Pieri in Its Role in Modern Mathematics Geometry and Arithmetic Ferreirós, J., Universidad de Sevilla, Spain Marchisotto, E.A., California State University, Northridge, CA, USA / “José Ferreirós has written a magisterial Smith, J.T., San Francisco State University, account of the history of set theory which is San Francisco, CA, USA panoramic, balanced, and engaging. Not only does this book synthesize much previous The Legacy of Mario Pieri in Geometry and work and provide fresh insights and points of Arithmetic introduces readers to Pieri’s view, but it also features a major innovation, career and his studies in foundations, from a full-fledged treatment of the emergence of both historical and modern viewpoints, the set-theoretic approach in mathematics placing his life and research in context and from the early nineteenth century. This takes tracing his influence on his contemporaries up Part One of the book. Part Two analyzes as well as more recent mathematicians. the crucial developments in the last quarter The text also provides a glimpse of the

12 History of Mathematics

Italian academic world of Pieri’s time, on finding the best ellipsoid for the earth, and its relationship with the developing and ending with the work of Bernstein. The international mathematics community. central character in the book is Chebyshev Combining an engaging exposition, little- (1821–1894) and the Saint Petersburg known historical information, exhaustive Mathematical School he created ... [The] references and an excellent index, book contains much interesting material and this text will be of interest to graduate has certainly motivated me to learn more students, researchers and historians with about the subject and its history. No book a general knowledge of logic and advanced can wish for more and so I recommend the mathematics, and it requires no specialized book to anyone interested in approximation experience in mathematical logic or the theory or in the history of mathematics.” — foundations of geometry. MAA Reviews

2007. XIX, 494 p. 67 illus. Hardcover 2006. XIX, 219 p. 12 illus. Softcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-3210-6 EUR 69.90 / CHF 119.– / ISBN 978-0-8176-4353-9

History of Banach Spaces and Italian Mathematics Between the Linear Operators Two World Wars Pietsch, A., University of Jena, Germany Guerraggio, A. / Nastasi, P. SNHS – Science Networks. Historical Written by a distinguished specialist in Studies, Vol. 29 functional analysis, this book presents a comprehensive treatment of the history 2006. X, 299 p. Hardcover of Banach spaces and (abstract bounded) EUR 88.– / CHF 148.– / ISBN 978-3-7643-6555-4 linear operators. Banach space theory is presented as a part of a broad mathematics Modern Algebra and the context, using tools from such areas as set Second theory, topology, algebra, combinatorics, Rise of Mathematical Edition probability theory, logic, etc. Equal emphasis Structures is given to both spaces and operators. Corry, L. The book may serve as a reference for researchers and as an introduction for The book describes two stages in the graduate students who want to learn historical development of the notion of Banach space theory with some historical mathematical structures: first, it traces its flavor. rise in the context of algebra from the mid- nineteenth century to its consolidation by 2007. XXIII, 855 p. 82 illus. Hardcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-4367-6 1930, and then it considers several attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely The History of Approximation mathematical perspective, the precise Theory meaning of this idea. From Euler to Bernstein First published in the series Science Networks Historical Studies, Vol. 17 (1996). Steffens, K.-G. In the second rev. edition the author has eliminated misprints, revised the chapter “This book aims to tell the historical evolution on Richard Dedekind, and updated the of the methods and results of approximation bibliographical index. theory, starting from the work of Euler in 1777 on minimizing distance errors in 2nd revised ed. 2004. 451 p. Softcover maps of Russia, and of Laplace in 1843 EUR 64.90 / CHF 109.– / ISBN 978-3-7643-7002-2

13 History of Mathematics

Technological Concepts and The Biology of Numbers Mathematical Models in the The Correspondence of Vito Volterra on Evolution of Modern Engineering Mathematical Biology Systems Israel, G. / Gasca, A.M. Controlling, Managing, Organizing SNHS – Science Networks. Historical Lucertini, M. / Millàn Gasca, A. / Nicolò, F. Studies, Vol. 26 (Eds) 2002. IX, 405 p. Hardcover 2004. XVII, 246p. Hardcover EUR 88.– / CHF 138.– / ISBN 978-3-7643-6514-1 EUR 54.90 / CHF 95.– / ISBN 978-3-7643-6940-8 Writing the History of Mathematical Theory of Mathematics - Its Historical Diffraction Development Sommerfeld, A. Dauben, J.W. / Scriba, C.J. (Eds) PMP – Progress in Mathematical Physics, Vol. 35 “This historiographic monograph is a great step forward, both in restoring this 2004. VII, 157 p. 38 illus. Hardcover EUR 54.90 / CHF 95.00 / ISBN 978-0-8176-3604-3 image and in detailing how histories of mathematics have been written ... The value of this book is further enhanced Gnomes in the Fog by a glossary of foreign terms and The Reception of Brouwer’s Intuitionism an extensive index. Anyone who is in the 1920s interested in the history of mathematics Hesseling, D.E. will enjoy and use this work ... Highly recommended.” — CHOICE SNHS – Science Networks. Historical Studies, Vol. 28 2002. XIX, 689 p. Softcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-6167-9 2003. XXIII, 447 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-3-7643-6536-3 The Implicit Function Theorem Scientific Opportunism / History, Theory, and Applications L’Opportunisme scientifique Krantz, S.G. / Parks, H.R. An Anthology “This is an excellent book devoted to the Poincaré, H. implicit function theorem and related PAHP – Publications des Archives Henri results (like the inverse function theorem) Poincaré / Publications of the Henri Poincaré that play one of the most important roles Archives in modern mathematics ... The book is mainly self-contained and undoubtedly will 2002. XXVI, 208 p. Hardcover serve as a useful resource for advanced EUR 68.– / CHF 108.– / ISBN 978-3-7643-6539-4 undergraduates, graduate students, professional mathematicians, and scientists of other types.” — MathSciNet

2002. XI, 163 p. Hardcover EUR 54.90 / CHF 95.– / ISBN 978-0-8176-4285-3

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Rockefeller and the Robert of Chester’s Redaction of Internationalization of Euclids Elements, the so-called Mathematics Between the Two Adelard II Version World Wars Busard, H.L. / Folkerts, M. Documents and Studies for the Social SNHS – Science Networks. Historical History of Mathematics in the 20th Studies, Vol. 8 Century 1992. Hardcover Siegmund-Schultze, R. EUR 112.– / CHF 178.– / ISBN 978-3-7643-2658-6 SNHS – Science Networks. Historical Studies, Vol. 25 Ernst Specker Selecta 2001. XIII, 341 p. Hardcover Jäger, G. / Läuchli, H. / Scarpellini, B. / EUR 98.– / CHF 158.– / ISBN 978-3-7643-6468-7 Strassen, V.

1990. Hardcover Evariste Galois (1811-1832) EUR 119.63 / CHF 196.– / ISBN 978-3-7643-2408-7 Toti Rigatelli, L. VM – Vita Mathematica, Vol. 11 A History of Algebraic and Differential Topology, 1900-1960 1996. 163 p. Softcover EUR 20.– / CHF 34.– / ISBN 978-3-7643-5410-7 Dieudonne, J.

1989. 676 p. Hardcover The Mathematical Experience EUR 59.90 / CHF 105.– / ISBN 978-0-8176-3388-2 Study Edition Davis, P.J. / Hersh, R. / Marchisotto, E.A.

1995. XXI, 487 p. 172 illus. Hardcover EUR 44.90 / CHF 79.90 / ISBN 978-0-8176-3739-2

In Search of Infinity Vilenkin, N.Y.

1995. 156 p. Hardcover EUR 38.00 / CHF 48.00 / ISBN 978-0-8176-3819-1

The Companion Guide to the Mathematical Experience Study Edition Davis, P.J. / Hersh, R. / Marchisotto, E.A.,

1995. VIII, 120 p. 21 illus. Softcover EUR 24.90 / CHF 42.90 / ISBN 978-0-8176-3849-8

15 History of Physics / Astronomy

E.C.G. Stueckelberg, An The Moon that Wasn’t Unconventional Figure of The Saga of Venus’ Spurious Satellite Twentieth Century Physics Kragh, H., University of Aarhus, Denmark Selected Scientific Papers with SNHS – Science Networks. Historical Commentaries Studies, Vol. 37 Lacki, J., Universität Genf, Switzerland / Wanders, G., Lausanne, Switzerland / This book details the history of one of Ruegg, H., Troinex, Switzerland (Eds) astronomy’s many spurious objects, the satellite of Venus. First spotted in 1645, Due in October 2008 the non-existing moon was observed more Born in 1905, Ernst C. G. Stueckelberg than a dozen times until the late eighteenth was professor of theoretical physics at century. Although few astronomers believed the Universities of Geneva and Lausanne in the existence of the moon after about in the years 1930-1970. He was one of 1770, it continued to attract attention for at the most eminent Swiss physicists of the least another century. However, it has largely 20th century. His breakthroughs, from his disappeared from the history of astronomy, causal S-matrix to the renormalization and the rich historical sources have never group, have influenced the development of been exploited. By telling the story of the contemporary theoretical physics. The book enigmatic satellite in its proper historical presents a selection of his most important context it is demonstrated that it was much scientific papers. They are preceded with a more than a mere curiosity in the annals series of introductory essays, contributed of astronomy – Frederick II of Prussia was by scientists and historians, specialists familiar with it, and so was Bonnet, Kant and of Stueckelberg’s achievements and time. Voltaire. The satellite of Venus belongs to the These essays deal with the scientific context same category as other fictitious celestial and the issues of the various topics that bodies (such as the planet Vulcan), yet it Stueckelberg tackled in his scientific career had its own life and fascinating historical and serve as an enlightening complement trajectory. By following this trajectory, the to the reprinted papers. The volume also history of planetary astronomy is addressed contains Stueckelberg’s concise biography in a novel way.

and an exhaustive list of his publications. 2008. 216 p. 33 illus. Hardcover It ambitions to provide an authoritative EUR 39.90 / CHF 69.90 / ISBN 978-3-7643-8908-6 source gathering in a single place all the material needed to assess the scientific achievements of one of the most important, albeit somehow overlooked, scientists of 20th century.

2009. Approx. 270 p. Hardcover EUR 119.– / CHF 209.– / ISBN 978-3-7643-8877-5

16 History of Physics / Astronomy

Einstein, 1905-2005 Poincaré Seminar 2005 Damour, T. / Darrigol, O. / Duplantier, B. / Rivasseau, V. (Eds) PMP – Progress in Mathematical Physics, Vol. 47

2006. VIII, 293 p. Hardcover EUR 78.– / CHF 128.– / ISBN 978-3-7643-7435-8 The Physical Tourist A Science Guide for the Traveler The Power of Images in Early Rigden, J.S. / Stuewer, R.H. (Eds) Modern Sciences Lefèvre, W. / Renn, J. / Schoepflin, U. Due in October 2008 2003. IX, 308 p. 202 illus., 86 in color. Softcover A current travel guide has sections on EUR 119.– / CHF 199.– / ISBN 978-3-7643-2434-6 architecture, art, literature, music and cinema. In a guide for e.g. Germany, Einstein from ’B’ to ’Z’ there is only one tidbit on science: Einstein Stachel, J. is identified as the most famous citizen of Ulm. By contrast, this travel guide identifies ES – Einstein Studies, Vol. 9 where in Berlin Max Planck started the quantum revolution, where Einstein lived “This welcome addition to the Einstein and gave his early talks on general relativity, Studies book series presents a collection of and where, across the street, Einstein’s selected articles and talks on Albert Einstein books were burned by the Nazis. Or, if you prepared over the past 25 years by John are walking in Paris, this guide tells you Stachel, the founding editor of the Collected where radioactivity and where radium were Works of Albert Einstein. ... The articles discovered. Scientific discoveries of the past, selected survey the subject from different like art of the past, has shaped life in the angles without going into too much technical 21st century. From this travel guide, a tourist detail, which makes them accessible to a will learn what other guides leave out. wide audience of readers. ... The present volume can be recommended as a brief From the Contents: The Whipple Museum introduction into the life and work of Einstein. and Cavendish Laboratory, Cambridge.- Thanks to sensibly provided annotations Scientific Travels in the Irish Countryside.- and references, it may also serve well as Physics in Edinburgh: From Napier’s Bones a departure point for deeper studies.” — to Higg's Boson.- Historical Sites of Physical Zentralblatt Math Science in Copenhagen.- A Parisian Walk 2002. XI, 556 p. 5 illus. Hardcover along the Landmarks of the Discovery of EUR 69.90 / CHF 119.– / ISBN 978-0-8176-4143-6 Radioactivity.- Physics in Berlin- Some Historical Points of Interest in Göttingen.- Physicists and Physics in Munich.- Peripatetic Highlights in Bern.- Vienna: A Random Walk to Science.- Budapest: A Random Walk in Science and Culture.- Physics and New York City

2008. Approx. 250 p. Hardcover EUR 19.90 / CHF 34.90 / ISBN 978-3-7643-8932-1

17 History of Physics / Astronomy History of Science

Einstein: The Formative Years, 1879 - 1909 Howard, D. / Stachel, J. (Eds) ES – Einstein Studies, Vol. 8

“What was Einstein like for the first thirty years of his life? Who were the personalities who guided him? What did he read? This book, which hopes to shed light on these questions, is a sequence of academic Discovering the Principles of articles written by Einstein specialists for the Mechanics 1600-1800 Birkhäuser Einstein Studies series. ... Essays by David Speiser The [book] is remarkably readable and Williams, K., Kim Williams Books, Torino, informative. ... Indispensable for Einstein Italy / Caparrini, S., Orbassano (Torino), Italy disciples, the book is also accessible to the (Eds) general reader. The presentation is excellent and the editing conducted to a high This book assembles 21 essays on the standard. ... Extensive references are given history of mechanics and mathematical after each essay and an index of names is physics written by David Speiser from provided.” — The Mathematical Gazette 1961 to 2003. The period dealt with goes 2000. XII, 258 p. Hardcover from the beginning of the seventeenth EUR 59.90 / CHF 99.– / ISBN 978-0-8176-4030-9 century through the eighteenth century. In particular, the essays discuss developments in elasticity, rigid bodies, gravitation, the Mach’s Principle principle of relativity, optics, and first From Newton’s Bucket to Quantum principles. David Speiser examines the work Gravity of Galileo, Huygens, Newton, Leibniz, the Barbour, J.B. / Pfister, H. (Eds) Bernoullis, Euler, Maupertuis, and Lambert. Sandro Caparrini and Kim Williams have ES – Einstein Studies, Vol. 6 selected the papers that present a cohesive 1995. VIII, 536 p. Hardcover overview of a crucial period in the history EUR 79.90 / CHF 139.– / ISBN 978-0-8176-3823-8 of mechanics by a historian and physicist of renown. Ordered chronologically with regards to the scientific developments, this collection presents a history of mechanics during the period under consideration.

2008. Approx. 342 p. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-8564-4

18 History of Science

The Network Collective One Hundred Years of Intuitionism Rise and Fall of a Scientific Paradigm (1907-2007) Eichmann, K., MPI of Immunobiology , van Atten, M., IHPST, Paris, France / Freiburg, Germany Boldini, P., Université Paris IV, France / Bourdeau, M., IHPST, Paris, France / The network paradigm dominated Heinzmann, G., Université de Nancy, France immunological research from the early (Eds) 1970s to the late 1980s. The originator, Niels PAHP – Publications des Archives Henri Jerne, hypothesized that the vast diversity Poincaré / Publications of the Henri Poincaré of antibodies present in each individual form Archives a network by mutual “idiotypic” recognition, thus regulating the immune system. By With logicism and formalism, intuitionism making the connection from this postulated is one of the main foundations for “Eigenbehavior” to emerging concepts in mathematics proposed in the twentieth systems biology including cybernetics, the century; and since the seventies, notably network theory opened a whole new way of its views on logic have become important looking at the immune system. Eventually, also outside foundational studies, with with the advent of exact scientific the development of theoretical computer technologies, the network paradigm became science. subject to criticism and is now largely The aim of the book is threefold: to review abandoned. and complete the historical account of This book is a historical account of the rise intuitionism; to present recent philosophical and fall of the network paradigm, describing work on intuitionism; and to give examples the main laboratories involved and their of new technical advances and applications scientific contributions. The description of intuitionism. This volume brings together of the scientific aspects is complemented 21 contributions by today’s leading by personal interviews with most of the authors on these topics, and surveys the prominent protagonists and antagonists, philosophical, logical and mathematical disclosing their retrospective views on the implications of the approach initiated in network paradigm. 1907 in L.E.J. Brouwer’s dissertation. 2008. Approx. 310 p. 6 illus. Hardcover EUR 99.– / CHF 175.– / ISBN 978-3-7643-8372-5 2008. XIV, 422 p. Hardcover EUR 99.– / CHF 175.– / ISBN 978-3-7643-8652-8

19 History of Science

La correspondance entre Henri Geometry and Monadology Poincaré et les physiciens, Leibniz’s Analysis Situs and Philosophy chimistes et ingénieurs of Space Walter, S. / Bolmont, E. / Coret, A. De Risi, V. Université Nancy 2, France (Eds) SNHS – Science Networks. Historical PAHP – Publications des Archives Henri Studies, Vol. 33 Poincaré / Publications of the Henri Poincaré Archives This book reconstructs, both from the historical and theoretical points of view, L’intérêt que portait Henri Poincaré (1854- Leibniz’s geometrical studies, focusing in 1912) à des questions d’ordre physique a particular on the research Leibniz carried on été durable et profond; elle couvre presque in the last years of his life. The main purpose toute sa carrière, et marque l’histoire de of the work is to offer a better understanding la physique tout au long du 20ème siècle. of the philosophy of space and in general of Sa correspondance avec cinquante-et- the mature Leibnizean metaphysics, through un physiciens, quatre chimistes, et cinq a pressing confrontation with the problems ingénieurs commence dès 1879, lorsqu’il of geometric foundation. Regarding this s’engage activement dans la recherche scope of problems, the book also deals quite scientifique. Elle est rythmée par des in depth with Leibniz’s theory of sensibility, grandes découvertes d’ordre expérimental, thus favouring the comparison and contrast instrumental, et théorique. between Leibniz’s philosophy and Kant’s

2007. 493 p. Hardcover transcendentalist solution. EUR 199.– / CHF 329.– / ISBN 978-3-7643-7136-4 2007. XX, 658 p. Hardcover EUR 139.– / CHF 229.– / ISBN 978-3-7643-7985-8 Forthcoming Titles Expounding the Mathematical La correspondance entre Henri Seed Poincaré et les astronomes et A Translation of Bhaskara I on géodésiens the Mathematical Chapter of the Aryabhatiya Walter, S. / Krömer, R. / Nabonnand, P. / Schiavon, M. (Eds) Keller, A. Due in May 2009. Hardcover Vol. 1: The Translation ISBN 978-3-7643-7167-8 SNHS – Science Networks. Historical Studies, Vol. 30 2006. LIII, 172 p. Hardcover EUR 78.– / CHF 128.– / ISBN 978-3-7643-7291-0

La correspondance entre Henri Vol. 2: The Supplements Poincaré et les mathématiciens SNHS – Science Networks. Historical Studies, Vol. 31 2006. XI, 240 p. Hardcover Nabonnand, P. / Walter, S. / Mawhin, J. / EUR 78.– / CHF 128.– / ISBN 978-3-7643-7292-7 Volkert, K. (Eds) Due in December 2010. Hardcover ISBN 978-3-7643-7168-5 Essays on the History of Mechanics La correspondance d’Henri In Memory of Clifford Ambrose Poincaré: privée et administrative Truesdell and Edoardo Benvenuto / / / Heinzmann, G. / Mazauric, S. / Rollet, L. / Becchi, A. Corradi, M. Foce, F. (Eds) Gispert, H. (Eds) Pedemonte, O. Due in December 2011. Hardcover 2003. 256 p. 14 illus. Hardcover ISBN 978-3-7643-7169-2 EUR 44.90 / CHF 75.– / ISBN 978-3-7643-1476-7

20 Biographies draft

Graßmann Virchow’s Eulogies Petsche, H.-J., Potsdam, Germany Rudolf Virchow in Tribute to his Fellow Due in Autumn 2009 Scientists Coghlan, B.L. D. / Bignold, L.P., Hermann Graßmann whose career University of Adelaide, Australia was spent as a high-school teacher in Stettin is known as the founder of Rudolph Virchow (1821-1902) was a n-dimensional vector algebra as well as leading figure in the medical, political and for his lasting contributions to physics intellectual life of Germany in the second and linguistics. In his opus magnum, the half of the nineteenth century. His most “Ausdehnungslehre” he developed, mainly famous work was “Cellular Pathology”. inspired by Schleiermacher’s philosophical Virchow wrote many books and edited method, an entirely new mathematical several journals, including “Virchow’s discipline. Ignored by his contemporaries, Archive” and was a member of numerous his remarkable work is now recognized to professional societies. have been that of a pioneer. The biography This book is a compilation of Virchow’s goes into detail of the complex network of memorial addresses on nineteen of his internal and external factors that shaped teachers – especially Johannes Müller Grassmann’s development. and Johann Lukas Schönlein – colleagues and students as well as one concerning 2009. Approx. 280 p. Hardcover Morgagni. There is an introduction to the Approx. EUR 59.90 / CHF 95.– / ISBN 978-3-7643-8859-1 man and his times, and copious editors’ German edition notes to explain allusions and events ISBN 978-3-7643-7257-6 mentioned in the text with which some Page 29 modern readers may be unfamiliar. There is also an extensive bibliography incorporating German sources, with English translations of all titles. The book gives a fascinating multi- dimensional view of scientists and their lives in nineteenth century Germany.

2008. Approx. 370 p. 70 illus. Hardcover EUR 99.– / CHF 175.– / ISBN 978-3-7643-8879-9

21 Biographies

successfully combining her own achievement as the discoverer of nuclear fission with the work of other eminent physicists … It is comprehensive, generally clearly written … and appropriate for undergraduate students. Just enough science is included as to make clear the significance of her work and its connection with the course of physics in the 20th century ... Extensive bibliography, informative footnotes.” — CHOICE Leonhard Euler Fellmann, E.A., Basel, Switzerland 1st ed. 1999. 2nd printing 2007. XVIII, 432 p. 35 illus. Softcover EUR 39.90 / CHF 65.– / ISBN 978-0-8176-4559-5 Euler was not only by far the most productive mathematician in the history 2007. XV, 179 p. 58 illus. Hardcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7538-6 of mankind, but also one of the greatest scholars of all time. He attained, like only a few scholars, a degree of popularity and David Paul von Hansemann: fame which may well be compared with that Contributions to Oncology of Galilei, Newton, or Einstein. Moreover he Context, Comments and Translations was a cosmopolitan in the truest sense of the word; he lived during his first twenty Bignold, L.P. / Coghlan, B.L.D. / years in Basel, was active altogether for Jersmann, H.P.A. more than thirty years in Petersburg and for 2007. XXIV, 371 p. 28 illus. Hardcover a quarter of a century in Berlin. EUR 88.– / CHF 140.– / ISBN 978-3-7643-7768-7 Leonhard Euler’s unusually rich life and broadly diversified activity in the immediate vicinity of important personalities which Through a Reporter’s Eyes have made history, may well justify an The Life of Stefan Banach exposition. Kaluza, R. This book is based in part on unpublished 2005. X, 172 p. Softcover sources and comes right out of the current EUR 39.90 / CHF 69.90 / ISBN 978-0-8176-4371-3 research on Euler. It is entirely free of formulae as it has been written for a broad audience with interests in the history of Köhler’s Invention culture and science. Eichmann, K.

2007. XV, 179 p. 58 illus. Hardcover 2005. 223 p. Hardcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7538-6 EUR 49.90 / CHF 85.– / ISBN 978-3-7643-7173-9

Lise Meitner and the The Apprenticeship of a Dawn of the Nuclear Age Mathematician Rife, P. Weil, A.

“The particular merit of Rife’s biography of 1992. 198 p. Hardcover EUR 42.– / CHF 68.– / ISBN 978-3-7643-2650-0 Austrian physicist Meitner is that it places her life and work within the historical context,

22 Philosophy of Science

New Studies in Series Universal Logic

Series Editor: Béziau, J.-Y., Neuchâtel, Switzerland

This series is devoted to the universal Universal Algebraic Logic approach to logic and the development of Dedicated to the Unity of Science a general theory of logics. It covers topics Andréka, H. / Németi, I. / Sain, I. such as global set-ups for fundamental Hungarian Academy of Sciences, Budapest, theorems of logic and frameworks for the Hungary study of logics, in particular logical matrices, Kripke structures, combination of logics, SUL – Studies in Universal Logic categorical logic, abstract proof theory, consequence operators, and algebraic logic. Due in December 2008 It includes also books with historical and The three main themes of this book are philosophical discussions about the nature (i) universal logic and the question of what and scope of logic. Three types of books will logic is, (ii) universal algebraic logic and appear in the series: graduate textbooks, duality theories between the world of logics research monographs, and volumes with and the world of algebra, and (iii) algebraic contributed papers. logic proper including algebras of relations of various ranks, Tarski’s cylindric algebras, Editorial Board Members: relation algebras, Halmos’ polyadic algebras Andréka, H. (Hungarian Academy of and other kinds of algebras of logic. Besides Sciences, Budapest, Hungary), Tarskian algebraizations of logics, category Burgin, M. (University of California at Los theoretical perspectives are also touched Angeles, USA), Diaconescu, R. (Romanian upon. Following the Tarskian tradition, Academy, Bucharest, Romania), Font, J.M. besides the connections between logic (University of Barcelona, Spain), Herzig, A. and algebra, related logical connections (CNRS, Toulouse,France), Koslow, A. (City with geometry and eventually spacetime University of New York, USA), Lee, J.-L. geometry leading up to relativity are also (National Chung-Cheng University, Taiwan), part of the perspective of the book. An Maksimova, L. (Russian Academy of introductory chapter contains the necessary Sciences, Novosibirsk, Russia), algebraic basics, this can be used in its own Malinowski, G. (University of Lodz, Poland), right as a quick introduction to universal Sarenac, D. (Stanford University, USA), algebra. Schröder-Heister, P. (Tübingen, Germany), Vasyukov, V. (Academy of Sciences, Moscow, 2008. Approx. 260 p. Softcover Russia) EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8505-7

23 Philosophy of Science

Institution-independent Completeness Theory for Model Theory Propositional Logics Diaconescu, R., Simion Stoilow Romanian Pogorzelski, W.A., University of Bialystok, Academy, Romania Poland / Wojtylak, P., Silesian University Katowice, Poland SUL – Studies in Universal Logic SUL – Studies in Universal Logic A model theory that is independent of any concrete logical system allows a general The book develops the theory of one handling of a large variety of logics. This of the most important notions in the generality can be achieved by applying the methodology of formal systems. Particularly, theory of institutions that provides a precise completeness plays an important role in mathematical formulation for the intuitive propositional logic where many variants concept of a logical system. Especially in of the notion have been defined. Global computer science, where the development variants of the notion mean the possibility of a huge number of specification logics is of getting all correct and reliable schemata observable, institution-independent model of inference. Its local variants refer to the theory simplifies and sometimes even notion of truth given by some semantics. enables a concise model-theoretic analysis A uniform theory of completeness in its of the system. Besides incorporating general and local meaning is carried out and important methods and concepts from it generalizes and systematizes some variety conventional model theory, the proposed of the notion of completeness such as Post- top-down methodology allows for a completeness, structural completeness structurally clean understanding of model- and many others. This approach allows theoretic phenomena. As a consequence, also for a more profound view upon some results from conventional concrete model essential properties (e.g. two-valuedness) of theory can be understood more easily, and propositional systems. For these purposes, sometimes even new results are obtained. the theory of logical matrices, and the theory of consequence operations is exploited. 2008. XI, 376 p. Softcover EUR 69.90 / CHF 125.– / ISBN 978-3-7643-8707-5 2008. VIII, 178 p. Softcover EUR 49.90 / CHF 85.– / ISBN 978-3-7643-8517-0

24 Philosophy of Science

Second Edition

Logica Universalis Towards a General Theory of Logic Béziau, J.-Y., University of Neuchâtel, Switzerland (Ed.)

Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence operations and logical matrices. The subject was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. This book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

2007. XI, 257 p. Softcover EUR 49.90 / CHF 78.– / ISBN 978-3-7643-8353-4

25 Deutschsprachige Titel / German language titles

T TEXTBOOK

Erhabene Welten Einführung in die Das Leben Rolf Nevanlinnas Funktionentheorie Lehto, O., Helsinki, Finnland Weyl, H. Bearbeitet von: Meyer, R., Universität VM – Vita Mathematica, Vol. 14 Göttingen, Deutschland / Patterson, S.J., Universität Göttingen, Deutschland (Hrsg.) Rolf Nevanlinna (1895-1980) war ein weltberühmter Mathematiker, eine Dieser Text ist die Transkription einer umstrittene politische Gestalt, eine Vorlesung zur Funktionentheorie, die Autorität auf dem Gebiet der Kultur und Hermann Weyl im Wintersemester eine charismatische Persönlichkeit. 1910-11 an der Universität Göttingen In allen Phasen seines Lebens waren gehalten hat, kurz vor der Entstehung seines die Mathematik und die Musik seine einflussreichen Buches über Riemannsche Leitsterne. “Man muss sein Leben der Flächen, das auf der Fortsetzung dieser Arbeit widmen und nach den erhabenen Vorlesung im Sommersemester 1911 Welten streben” war sein Motto. Durch beruht. Weyl betont in dieser Vorlesung die die Entwicklung der später nach ihm kinematische Deutung gebrochen-linearer benannten Nevanlinna-Theorie erlangte er Transformationen und die Beziehungen in den 1920er Jahren Weltruf. Er wurde zum zwischen konformen Abbildungen und Professor der Universität Zürich berufen Strömungstheorie. Höhepunkt der Vorlesung und zum Präsidenten der Internationalen ist der Vergleich der Riemannschen und Mathematischen Union gewählt. Er blieb bis Weierstraßschen Behandlung mehrdeutiger zu seinem Lebensende eine einflussreiche analytischer Funktionen durch Riemannsche Kulturpersönlichkeit und zeichnete sich Flächen beziehungsweise analytische insbesondere als Sibelius-Spezialist aus. Fortsetzung.

Professor Olli Lehto (Helsinki), der Autor 2008. Etwa 280 S. Brosch. dieser umfassenden Biographie, kannte EUR (D) 29.90 / EUR (A) 30.73 / CHF 49.90 ISBN 978-3-7643-8845-4 Rolf Nevanlinna über viele Jahrzehnte, zunächst als Student, dann als Assistent und schließlich als Kollege. Das Buch gibt tiefgehende Einblicke in das Leben eines genialen Mathematikers und in die wechselvolle Geschichte Finnlands.

2008. 310 S. 66 Abb. Geb. EUR (D) 99.00 / EUR (A) 101.77 / CHF 159.00 ISBN 978-3-7643-7701-4

26 Deutschsprachige Titel / German language titles

T TEXTBOOK

Von Zahlen und Größen Von Zahlen und Größen Dritthalbtausend Jahre Dritthalbtausend Jahre Theorie und Praxis - Band 1 Theorie und Praxis - Band 2 Lüneburg, H., Universität Kaiserslautern, Lüneburg, H., Universität Kaiserslautern, Deutschland Deutschland

Dieses zweibändige Werk handelt von Der zweite Band beginnt mit der großen Mathematik und ihrer Geschichte. Die Arbeit von Lagrange von 1770/71, die sorgfältige Analyse dessen, was die Alten später Galois inspirierte. Um sie zu bewiesen – meist sehr viel mehr, als verstehen, benötigt man den Begriff der sie ahnten –, führt zu einem besseren Resultanten von Polynomen. Dieser wird Verständnis der Geschichte und zu einer bereitgestellt, zusammen mit Algorithmen guten Motivation und einem ebenfalls zu ihrer Berechnung, die aus dem 20. besseren Verständnis heutiger Mathematik. Jahrhundert stammen. Zentral sind dann Die Themen des ersten Bandes reichen Arbeiten von Steinitz und Galois. Für diese von der Konstruktion der reellen Zahlen wird transfiniten Methoden und Gruppen mittels dedekindscher Schnitte bis hin zum sowie der Geschichte beider Themen Fundamentalsatz der Algebra. Dazwischen entsprechender Raum gewidmet. Viel gesagt werden die Bücher V bis X der euklidischen wird auch über die Kreisteilungspolynome. Elemente abgehandelt, wobei insbesondere Um die Transzendenz von Pi zu beweisen, die eudoxische Proportionenlehre (Buch V) werden schließlich auch noch topologische eine zentrale Rolle spielt. Sie bietet einen Methoden behandelt. eleganten Zugang zu den Logarithmen, 2008. VII, 627 S. Geb. so dass auch Neper ausführlich zu Wort EUR (D) 99.00 / EUR (A) 101.77 / CHF 159.00 kommt. Weitere Themen sind die natürlichen ISBN 978-3-7643-8778-5 Zahlen und das Induktionsprinzip; die Entdeckung der Lösungsformeln Set der Gleichungen dritten und vierten Grades; Polynomringe in beliebig vielen Von Zahlen und Größen Unbestimmten; symmetrische Polynome und Dritthalbtausend Jahre der Satz von Waring. Theorie und Praxis

2008. XXII, 655 S. Geb. Lüneburg, H., Universität Kaiserslautern, EUR (D) 99.00 / EUR (A) 101.77 / CHF 159.00 Deutschland ISBN 978-3-7643-8776-1 2008. 1312 S. Set (Band 1 + 2) EUR (D) 159.00 / EUR (A) 163.46 / CHF 259.00 ISBN 978-3-7643-8780-8

27 Deutschsprachige Titel / German language titles

Eine kleine Nachtphysik Leonhard Euler Geschichten aus der Physik Ein Mann, mit dem man rechnen kann Rößler, W., Linz, Österreich Heyne, A.K. / Heyne, A.K. (Text) Pini, E. (Grafik) Die Physik besitzt eine eigene Geschichte. Eine Geschichte, die geprägt ist von Erfolg In seinem Kopf stellte er die und Scheitern, Hoffnung und zerschlagenen mathematische Welt auf den Kopf. Er Träumen, Missgunst und Neid, Großzügigkeit berechnete Flüssigkeitsströmungen, und Charakterstärke, schöpferischem das Trägheitsmoment, entwickelte die Denken und einfacher Menschlichkeit. Variationsrechnung und die moderne Der Autor erzählt in allgemein verständlicher Zahlentheorie. Als Wissenschaftler steht er Sprache von großen Ideen der Physik und auf einer Stufe mit Newton und Einstein. insbesondere von den Menschen, die sie Konstrukteure in aller Welt arbeiten schufen. Der Bogen ist dabei weit gespannt. tagtäglich mit seinen Formeln – egal ob es Von Newton und Galilei zu Einstein, um den Schiffsrumpf der “Alinghi” geht oder Feynman, Fermi und Bohr. Von Faraday und um die Schwingungen des “Viaduc de Millau”, Maxwell zu Schrödinger, Dirac, Heisenberg der Welt höchster Autobahnbrücke. und Pauli. Von den ersten Anfängen der Dabei war er ein Mensch, der bürgerliche Wissenschaft in der Antike zu den Fragen Behaglichkeit und Ruhe liebte. Nicht nach dem Wesen von Raum und Zeit und ganz einfach zur Gründungszeit von St. der Natur von Licht und Wärme. Von der Petersburg inmitten russischer Kaisermorde Entdeckung des Atoms zur Formulierung oder im Berlin zur Zeit der schlesischen der Quantenmechanik. Von Beobachtungen Kriege. Und erst recht nicht inmitten einer des Sternenhimmels zu grundlegenden grossen Kinderschar. Entdeckungen und Gedanken der modernen Der Comic von Elena Pini (Graphik) und Astronomie und Kosmologie. Alice und Andreas K. Heyne (Text) zeichnet Die Ideen mögen mitunter abstrakt sein, das Leben des genialen Baslers nach, der aber die Physik selbst, als eine ganz eigene vor 300 Jahren geboren wurde, mit zwanzig Art, die Welt zu sehen, ist voller Leben – und Jahren seine Heimatstadt verliess – und nie Menschlichkeit. Davon erzählt dieses Buch. wieder zurückkehrte.

1. Aufl. 2007. Korr. Nachdruck 2007. 52 S. Geb. 2008. X, 275 S. Geb. EUR (D) 19.90 / EUR (A) 20.46 / CHF 28.00 EUR (D) 19.90 / EUR (A) 20.46 / CHF 29.90 ISBN 978-3-7643-7779-3 ISBN 978-3-7643-7743-4 Englische Ausgabe ISBN 978-3-7643-8332-9 siehe Seite 11

28 Deutschsprachige Titel / German language titles

Graßmann Gegenwart auszuleuchten, ist das Anliegen Petsche, H.-J. der Beiträge dieses Bandes. Sie führen vor Augen, dass die Wissenschaftskonzeptionen VM – Vita Mathematica, Vol. 13 des Altertums und des Mittelalters noch weitgehend qualitativ orientiert waren, Hermann Graßmann, Gymnasiallehrer in und zeigen, wie diese in den verschiedenen Stettin und bekannt als Begründer der Naturwissenschaften durch das neuzeitliche n-dimensionalen Vektoralgebra, erwarb sich quantitativmessende Paradigma abgelöst auch in der Physik und der Sprachforschung wurden und welche Probleme es dabei zu bleibende Verdienste. Gestützt auf die bewältigen galt. Dialektik Schleiermachers entwickelte er in seinem Hauptwerk, der Ausdehnungslehre, 2003. IX, 444 S. Geb. EUR (D) 84.00 / EUR (A) 86.35 / CHF 128.00 mit philosophischer Methode eine völlig ISBN 978-3-7643-5383-4 neue mathematische Disziplin. Zunächst von der Fachwelt abgelehnt, wurde sein Werk Jahrzehnte später als wegweisend Theodore von Karman gefeiert. Die Biographie geht dem komplexen Flugzeuge für die Welt und eine Geflecht innerer und äußerer Einflüsse Stiftung für Bern nach, innerhalb derer Graßmann sein Nickelsen, K. / Hool, A. / Grasshoff, G. Schöpfertum entfaltete. 2004. 259 S. Geb. 2006. XXII, 326 S. 47 Abb. Geb. EUR (D) 68.00 / EUR (A) 69.91 / CHF 98.– EUR (D) 58.00 / EUR (A) 59.63 / CHF 88.00 ISBN 978-3-7643-7135-7 ISBN 978-3-7643-7257-6 Englische Ausgabe Euklid ISBN 978-3-7643-8859-1 siehe Seite 21 Um 300 v. Chr. Schönbeck, J. Lehre und Forschung an der ETH VM – Vita Mathematica, Vol. 12 Zürich Bis heute ist nicht endgültig geklärt, ob Eine Festschrift zum 150-Jahr- es Euklid als Mathematiker gab, wann er Jubiläum lebte und ob er die ihm zugeschriebenen Schweizerische Akademie der Technischen mathematischen Lehrbücher tatsächlich Wissenschaften (Ed.) selbst verfasst hat. 2005. 160 S. 21 Abb. Geb. Der Autor beleuchtet das derzeit EUR (D) 19.00 / EUR (A) 19.54 / CHF 35.00 verfügbare Wissen über die voreuklidische ISBN 978-3-7643-7533-1 griechische Mathematik, die Traditionslinien der euklidischen Geometrie und die Wissenschaft zwischen Qualitas Wirkungsgeschichte der euklidischen Werke. und Quantitas 2003. X, 264 S. Geb. Neuenschwander, E. (Ed.) EUR (D) 88.00 / EUR (A) 90.46 / CHF 145.50 ISBN 978-3-7643-6584-4 Wissenschaft und insbesondere die Naturwissenschaften haben heute meist mit Gentzens Problem “Messen”, das heisst mit der quantitativen Mathematische Logik im Erfassung der Wirklichkeit zu tun. Das nationalsozialistischen Deutschland Eigentliche, die “Qualität” der Dinge, entzieht Menzler-Trott, E. sich jedoch diesem technokratischen Zugriff. Die Position der Wissenschaft 2001. XVIII, 411 S. Geb. EUR (D) 43.00 / EUR (A) 44.21 / CHF 65.– im Spannungsfeld zwischen den Polen ISBN 978-3-7643-6574-5 Quantitas und Qualitas in Geschichte und 29 The Collected Scientific Papers of the Mathematicians and Physicists of the Bernoulli Family

The Collected Die Werke von Scientific Papers of the Jacob Bernoulli Mathematicians and Band 1: Astronomie, Philisophia naturalis 1969. Hardcover Physicists of the Bernoulli EUR 154.21 / CHF 148.– / ISBN 978-3-7643-0028-9

Family Band 2: Elementarmathematik 1st ed.1989. Corr. printing. General Editor: 2006. 685 p. 291 illus. Hardcover. EUR 182.24 / CHF 298.– / ISBN 978-3-7643-1891-8 Radelet-de Grave, P., Institut de Physique Théorique, Louvain-la-Neuve, Belgium Band 3: Wahrscheinlichkeitsrechnung 1975. Hardcover. Among the great editions of scientific EUR 91.59 / CHF 148.– / ISBN 978-3-7643-0713-4 works of the 17th and 18th centuries, the Band 4, Teil 1: Reihentheorie Bernoulli Edition occupies a special position; 1993. Hardcover. unlike, for example, the Leibniz and the EUR 79.44 / CHF 128.– / ISBN 978-3-7643-2453-7 Euler Edition, it is dedicated not to a single Band 4, Teil 2: Briefwechsel author, but to a group of nine closely related 1993. Hardcover. authors. EUR 79.44 / CHF 128.– / ISBN 978-3-7643-2950-1 The Bernoulli Edition presents a critical, fully annotated edition of the collected works and Set Band 4, correspondence of these authors. It includes Teil 1: Reihentheorie - Teil 2: Briefwechsel 1993. Hardcover. their scientific publications, the most EUR 154.21 / CHF 248.– / ISBN 978-3-7643-2961-7 important of those texts which exist only in manuscript form, and an extensive selection Band 5: Differentialgeometrie of their correspondence, for the most part 1999. Hardcover. EUR 196.82 / CHF 298.– / ISBN 978-3-7643-5779-5 hitherto unpublished. The Bernoulli Edition establishes an Band 6: Mechanik authoritative version of the source texts, Due in 2016 starting from either the original publications or the manuscripts. The commentaries facilitate access to the historical texts Die Streitschriften von Jacob und for the modern reader by providing Johann Bernoulli interpretative introductions, explanatory Variationsrechnung notes and indexes. All texts are printed in 1991. Hardcover. the original language (mainly Latin and EUR 154.21 / CHF 148.– / ISBN 978-3-7643-2348-6 French); the commentaries are mostly in English (in the past, some volumes have been annotated in French, German or Der Briefwechsel von Italian). Copious illustrations present figures Johann I. Bernoulli from original printings as well as samples from holographs. Band 1: Der Briefwechsel mit Jacob The Bernoulli Edition is divided into two Bernoulli, dem Marquis de l’Hôpital u.a. sections, one for the Collected Works and 1955. Hardcover. EUR 91.59 / CHF 148.– / ISBN 978-3-7643-0027-2 one for the Correspondence. Each section is composed of several series, each of these Band 2: Der Briefwechsel mit Pierre being dedicated to one or, in some cases, to Varignon, Teil I two of the nine authors. 1988. Hardcover. EUR 102.80 / CHF 168.– / ISBN 978-3-7643-1183-4

30 The Collected Scientific Papers of the Mathematicians and Physicists of the Bernoulli Family

Band 3: Der Briefwechsel mit Pierre Band 5: Hydrodynamik II Varignon, Teil II 2002. XXVII, 729 p. Hardcover. 1992. Hardcover. EUR 214.95 / CHF 374.50 / ISBN 978-3-7643-6260-7 EUR 154.21 / CHF 248.– / ISBN 978-3-7643-2637-1 Band 7: Magnetismus, Technologie I 1994. XX, 337 p. Hardcover. Die Werke von Johann I und EUR 140.19 / CHF 218.– / ISBN 978-3-7643-2808-5 Nicolaus II Bernoulli Band 8: Technologie II 2004. XX, 360 p. Cloth bound Band 1: Mathematik I EUR 154.21 / CHF 248.– / ISBN 978-3-7643-7007-7 Due in 2015 Please consult our homepage for more Band 2: Mathematik II detailed information: www.birkhauser.ch, Due in 2010 ISBN 978-3-7643-8527-9 History of Science

Band 3: Vorlesungen an de l’Hôpital: Differential- und Integralrechung (J. Dhombres) Die Werke von Johann I und New! Due in 2011 Nicolaus II Bernoulli Band 5: Streit mit den Engländern II, Band 6: Mechanik I Orthogonale Kurven Due in 2013 This volume on mechanics of rigid and Band 6: Mechanik I elastic bodies contains early papers 2008. XXII, 695 p. Cloth bound concerning geometric statics, accompanied EUR 214.02 / CHF 368.– / ISBN 978-3-7643-7367-2 by works dealing with the motion of Band 8: Schiffssteuerung, Technologie, compound pendula and the deformation Naturphilosophie of beams.The papers on mechanics in Due in 2014 this volume do not encompass the area of hydraulics, which occupies approximately one half of the papers dealing with Die Werke von Daniel Bernoulli mechanical problems and which are included in volume 7. This collection Band 1: Medizin und Physiologie, constitutes, roughly, one eighth of the entire Mathematische Jugendschriften, work written by Johann I Bernoulli. Postitionsastronomie 1996. Hardcover. From the content: EUR 182.24 / CHF 298.– / ISBN 978-3-7643-5272-1 Differential statics.- Dynamics.- Various Band 2: Analysis, mechanical and dynamical propositions.- Wahrscheinlichkeitsrechnung Problems concerning rigid triangular 1982. Hardcover. wedges.- Criticism of de la Hire’s analysis.- EUR 102.80 / CHF 168.– / ISBN 978-3-7643-1084-4 Central forces.- The living forces.- Bernoulli’s Band 3: Mechanik notion of living forces and applications.- 1987. Hardcover. Manuscripts on mechanics.- Elasticity.- EUR 140.19 / CHF 218.– / ISBN 978-3-7643-1213-8 Problems concerning strings.- Vibrating Band 4: Hydrodynamik strings.- Further solutions to the equations Due in 2012 of the catenary.- A solution for the Elastica.- Multiple pendula.- Manuscripts on elasticity.

2008. XXII, 695 p. Cloth bound. EUR 214.02 / CHF 368.– / ISBN 978-3-7643-7367-2

31 Leonhard Euler

Euler’s papers and books are fundamental Leonhard Euler to every branch of the mathematical sciences. They are clearly and beautifully Opera Omnia written, well explained and illustrated by examples. Editorial Board of Series I–III: The Opera Omnia belong in any major Im Hof, H.-C. (Chief Editor) working library concerned with mathematics Steiner, Th. / Tammann, G.A. and its applications. The edition of the series I, II and III is limited, International Editorial Board of Series IV: for the most part, to re-publication of works Kleinert, A. (Chief Editor) that Euler himself prepared for press. The Bodenmann, S. / Fellmann, E.A. / Frei, G. / texts are reprinted in the original language, Mattmüller, M. / Mikhajlov, G.K. / most frequently French or Latin. Steiner, Th. The fourth series is devoted to Euler’s correspondence. Series prima: Opera mathematica (In 29 volumes; 30 volume-parts)

Volume Title ISBN Vol. 1 Vollständige Anleitung zur Algebra 978-3-7643-1400-2 Vol. 2 Commentationes arithmeticae 978-3-7643-1401-9 Vol. 3 Commentationes arithmeticae 2nd part 978-3-7643-1402-6 Vol. 4 Commentationes arithmeticae 3rd part 978-3-7643-1403-3 Vol. 5 Commentationes arithmeticae 4th part 978-3-7643-1404-0 Vol. 6 Commentationes algebraicae ad theoriam aequationum pertinentes 978-3-7643-1405-7 Commentationes algebraicae ad theoriam combinationum et Vol. 7 978-3-7643-1406-4 probabilitatum pertinentes Vol. 8 Introductio in analysin infinitorum 1st part 978-3-7643-1407-1 Vol. 9 Introductio in analysin infinitorum 2nd part 978-3-7643-1408-8 Vol. 10 Institutiones calculi differentialis 978-3-7643-1409-5 Vol. 11 Institutiones calculi integralis 1st part 978-3-7643-1410-1 Vol. 12 Institutiones calculi integralis 2nd part 978-3-7643-1411-8 Vol. 13 Institutiones calculi integralis 3rd part 978-3-7643-1412-5 Commentationes analyticae ad theoriam serierum infinitarum Vol. 14 978-3-7643-1413-2 pertinentes 1st part Commentationes analyticae ad theoriam serierum Vol. 15 978-3-7643-1414-9 infinitarum pertinentes 2nd part Commentationes analyticae ad theoriam serierum Vol. 16.1 978-3-7643-1415-6 infinitarum pertinentes 3rd part, 1st section Commentationes analyticae ad theoriam serierum Vol. 16.2 978-3-7643-1416-3 infinitarum pertinentes 3rd part, 2nd section Commentationes analyticae ad theoriam integralium Vol. 17 978-3-7643-1417-0 pertinentes 1st part Commentationes analyticae ad theoriam integralium Vol. 18 978-3-7643-1418-7 pertinentes 2nd part Commentationes analyticae ad theoriam integralium Vol. 19 978-3-7643-1419-4 pertinentes 3rd part Commentationes analyticae ad theoriam integralium Vol. 20 978-3-7643-1420-0 ellipticorum pertinentes 1st part

32 Leonhard Euler

Volume Title ISBN Commentationes analyticae ad theoriam integralium Vol. 21 978-3-7643-1421-7 ellipticorum pertinentes 2nd part Commentationes analyticae ad theoriam aequationum Vol. 22 978-3-7643-1422-4 differentialium pertinentes 1st part Commentationes analyticae ad theoriam aequationum differentialium Vol. 23 978-3-7643-1423-1 pertinentes 2nd part Methodus inveniendi lineas curvas maximi minimive proprietate Vol. 24 gaudentes sive solutio problematis isoperimetrici latissimo sensu 978-3-7643-1424-8 accepti

Vol. 25 Commentationes analyticae ad calculum variationum pertinentes 978-3-7643-1425-5

Vol. 26 Commentationes geometricae 1st part 978-3-7643-1426-2 Vol. 27 Commentationes geometricae 2nd part 978-3-7643-1427-9 Vol. 28 Commentationes geometricae 3rd part 978-3-7643-1428-6 Vol. 29 Commentationes geometricae 4th part 978-3-7643-1429-3 Series secunda: Opera mechanica et astronomica (In 31 volumes; 32 volume-parts)

Volume Title ISBN Vol. 1 Mechanica sive motus scientia analytice exposita 1st part 978-3-7643-1430-9 Vol. 2 Mechanica sive motus scientia analytice exposita 2nd part 978-3-7643-1431-6 Theoria motus corporum solidorum seu rigidorum ex primis nostrae Vol. 3 cognitionis principiis stabilita et ad omnes motus qui in huiusmodi 978-3-7643-1432-3 corpora cadere possunt accomodata 1st part Theoria motus corporum solidorum seu rigidorum ex primis nostrae Vol. 4 cognitionis principiis stabilita et ad omnes motus qui in huiusmodi 978-3-7643-1433-0 corpora cadere possunt accomodata 2nd part. Vol. 5 Commentationes mechanicae. Principia mechanica 978-3-7643-1434-7 Commentationes mechanicae ad theoriam motus punctorum Vol. 6 978-3-7643-1435-4 pertinentes 1st part Commentationes mechanicae ad theoriam motus punctorum Vol. 7 978-3-7643-1436-1 pertinentes 2nd part Vol. 8 Mechanica corporum solidorum 1st part 978-3-7643-1437-8 Vol. 9 Mechanica corporum solidorum 2nd part 978-3-7643-1438-5 Commentationes mechanicae ad theoriam corporum Vol. 10 978-3-7643-1439-2 flexibilium et elasticorum pertinentes 1st part Commentationes mechanicae ad theoriam corporum Vol. 11.1 978-3-7643-1440-8 flexibilium et elasticorum pertinentes 2nd part/1st section The rational mechanics of flexible or elastic bodies Vol. 11.2 978-3-7643-1441-5 1638 - 1788 Commentationes mechanicae ad theoriam corporum Vol. 12 978-3-7643-1442-2 fluidorum pertinentes 1st part Commentationes mechanicae ad theoriam corporum Vol. 13 978-3-7643-1443-9 fluidorum pertinentes 2nd part Vol. 14 Neue Grundsätze der Artillerie 978-3-7643-1444-6 Commentationes mechanicae ad theoriam machinarum pertinentes Vol. 15 978-3-7643-1445-3 1st part Commentationes mechanicae ad theoriam machinarum pertinentes Vol. 16 978-3-7643-1446-0 2nd part

33 Leonhard Euler

Volume Title ISBN Commentationes mechanicae ad theoriam machinarum pertinentes Vol. 17 978-3-7643-1447-7 3rd part Vol. 18 Scientia navalis 1st part 978-3-7643-1448-4 Vol. 19 Scientia navalis 2nd part 978-3-7643-1449-1 Commentationes mechanicae et astronomicae ad scientiam navalem Vol. 20 978-3-7643-1450-7 pertinentes 1st part Commentationes mechanicae et astronomicae ad scientiam navalem Vol. 21 978-3-7643-1451-4 pertinentes 2nd part Vol. 22 Theoria motuum lunae nova methodo pertractata 978-3-7643-1452-1 Vol. 23 Sol et Luna I 978-3-7643-1453-8 Vol. 24 Sol et luna II 978-3-7643-1454-5 Commentationes astronomicae ad theoriam perturbationum Vol. 25 978-3-7643-1455-2 pertinentes 1st part Commentationes astronomicae ad theoriam perturbationum 978-3-7643-1472-9 Vol. 26 pertinentes 2nd part Due in 2010 Commentationes astronomicae ad theoriam perturbationum 978-3-7643-1473-6 Vol. 27 pertinentes 3rd part Due in 2010 Commentationes astronomicae ad theoriam motuum Vol. 28 978-3-7643-1456-9 planetarum et cometarum pertinentes Commentationes astronomicae ad praecessionem et Vol. 29 978-3-7643-1457-6 nutationem pertinentes. First part Commentationes astronomicae ad praecessionem et Vol. 30 978-3-7643-1458-3 nutationem pertinentes. Second part Commentationes mechanicae et astronomicae ad physicam Vol. 31 978-3-7643-1459-0 pertinentes

Series tertia: Opera physica, Miscellanea (In 12 volumes)

Volume Title ISBN Commentationes physicae ad physicam generalem et ad theoriam soni Vol. 1 978-3-7643-1460-6 pertinentes Rechenkunst. Accesserunt commentationes ad physicam generalem Vol. 2 978-3-7643-1461-3 pertinentes et miscellanea Vol. 3 Dioptrica 1st part 978-3-7643-1462-0 Vol. 4 Dioptrica 2nd part 978-3-7643-1463-7 Vol. 5 Commentationes opticae 1 978-3-7643-1464-4 Vol. 6 Commentationes opticae 2nd part 978-3-7643-1465-1 Vol. 7 Commentationes opticae 3rd part 978-3-7643-1466-8 Vol. 8 Commentationes opticae 4th part 978-3-7643-1467-5 Vol. 9 Commentationes opticae 5th part 978-3-7643-1468-2 Commentationes physicae ad theoriam caloris, electricitatis et Vol. 10 978-3-7643-1469-9 magnetismi pertinentes Vol. 11 Lettres a une princesse d'Allemagne 1st part 978-3-7643-1470-5 Vol. 12 Lettres a une princesse d'Allemagne 2nd part 978-3-7643-1471-2

Set: Series prima Set: Leonhardi Euleri Opera Omnia Opera mathematica Series prima, secunda, tertia 1992. In 29 volumes, Hardcover 1989. 72-volume-set. Hardcover EUR 3411.21 / CHF 5500.– / ISBN 978-3-7643-1474-3 EUR 8644.86 / CHF 14000.00 / ISBN 978-3-7643-1475-0

34 Leonhard Euler

Series quarta A: Commercium epistolicum (In 9 Volumes)

Volume Title ISBN Briefwechsel von Leonhard Euler: Beschreibung, Vol. 1 978-3-7643-0717-2 Zusammenfassungen der Briefe und Verzeichnisse Briefwechsel von Leonhard Euler mit Johann I Bernoulli und Niklaus I Vol. 2 978-3-7643-5271-4 Bernoulli Vol. 3 Briefwechsel von Leonhard Euler mit Daniel und Johann III Bernoulli Due in 2012 Vol. 4 Correspondence of Leonhard Euler with Christian Goldbach Due in 2010 Correspondance de Leonhard Euler avec A. C. Clairaut, J. d'Alembert et Vol. 5 978-3-7643-0868-1 J. L. Lagrange Correspondance de Leonhard Euler avec P.-L. M. de Vol. 6 978-3-7643-1184-1 Maupertuis et Frederic II Correspondance de Leonhard Euler avec L. Bertrand, Ch. Bonnet, J. Vol. 7 Castillon, G. Cramer, Ph. Cramer, G. Cuenz, G.L. Lesage, J.M. von Loen 978-3-7643-8743-3 et J.K. Wettstein Briefwechsel von Leonhard Euler mit Johann Andreas Segner und mit Vol. 8 Due in 2011 anderen Hallenser Gelehrten Vol. 9 Correspondance de Leonhard Euler avec divers savants français Due in 2010

Please consult our homepage for more detailed information: www.birkhauser.ch, History of Science

Correspondance de Leonhard Euler avec L. Bertrand, See also Due Ch. Bonnet, J. Castillon, G. Cramer, Ph. Cramer, 05.2009 G. Cuenz, G.L. Lesage, J.M. von Loen et J.K. Wettstein

This volume of the Opera Omnia will be devoted to the French letters Euler exchanged with his friend and countryman Johann Kaspar Wettstein, as well as with some Swiss scholars from and around Geneva (Louis Bertrand, Charles Bonnet, Marc-Michel Bousquet, Jean Castillon, Gabriel Cramer, Philibert Cramer, Gaspard Cuentz, Georges-Louis Lesage). It will also include a short correspondence between English edition page 11 the great mathematician and a remote relative, Johann German edition page 28 Michael von Loen, who is mentioned in a letter from Louis Bertrand and in some letters from Euler addressed to Maupertuis and Frederic II. We hope that those correspondences will draw a slightly different portrait of Euler, who wasn’t just the most prolific mathematician ever but also built networks to propagate his ideas, to protect and recommend some of his contemporaries, eventually to help organize and consolidate the Academies of Berlin and St. Petersburg.

2009. Approx. 550 p. Hardcover Approx. EUR 154.21 / CHF 248.00 / ISBN 978-3-7643-8743-3 Page 22

35 Series Index

For a complete description of all Birkhäuser series and a list of published books in each series, please visit www.birkhauser.ch

Contemporary Nexus Network Mathematicians Journal Series Editor: Series Editor: Kung,J.P.S., University Williams, K., Torino, Italy of North Texas, Denton, TX, USA

Publishing the collected works of outstanding mathematicians remains a vital tradition in ‚‚ Nexus Network Journal 10,2 8 scientific publishing. Very often the works ‚‚ Nexus Network Journal 10,1 8 of a mathematician are in a scattered ‚‚ Nexus Network Journal 9,2 9 state, published in diffuse forms, and ‚‚ Nexus Network Journal 9,1 9 inaccessible. The bringing together of these ‚‚ Nexus Network Journal 8,2 9 works and papers into organized, annotated ‚‚ Nexus Network Journal 8,1 9 volumes creates a unique opportunity for ‚‚ Nexus Network Journal 7,2 9 historical, biographical, and mathematical ‚‚ Nexus Network Journal 7,1 9 perspectives to emerge. Present and future ‚‚ Nexus Network Journal 6,2 9 generations of mathematicians will find ‚‚ Nexus Network Journal 6,1 9 these collected works to be of lasting significance. Publications ‚‚ Selected Works of A.I. Shirshov 4 des Archives Henri Poincaré / Einstein Studies Publications of Series Editors: the Henri Poincaré Howard, D., Notre Dame Archives University, Notre Dame, Series Editors: IN, USA / Stachel, J., Archives - Centre Center for Einstein d'Etudes et de Recherche Henri Poincaré Studies, BU, Boston, USA (ACERHP) / Heinzmann, G.

Published under ‚‚ La correspondance d'Henri Poincaré: the sponsorship of privée et administrative 20 the Center for Einstein Studies, Boston ‚‚ La correspondance entre Henri Poincaré et University, USA les astronomes et géodésiens 20 ‚‚ La correspondance entre Henri Poincaré et ‚‚ Einstein from ’B’ to ’Z’ 17 les mathématiciens 20 ‚‚ Einstein: The Formative ‚‚ La correspondance entre Henri Poincaré et Years, 1879 - 1909 18 les physiciens, chimistes et ingénieurs 20 ‚‚ Mach’s Principle 18 ‚‚ One Hundred Years of Intuitionism (1907-2007) 19 ‚‚ Scientific Opportunism / L’Opportunisme scientifique 14 36 Series Index

Science Networks. Studies in Historical Studies Universal Logic Series Editors: Series Editor: Knobloch, E., Technische Béziau, J.-Y., Universität Berlin, Université de Neuchâtel, Germany / Kragh, H., Neuenburg University of Aarhus, Denmark / Scholz, E., This series is devoted to Bergische Universität, the universal approach Gesamthochschule Wuppertal, Germany to logic and the development of a general theory of logics. It covers topics such as The publications in this series are limited global set-ups for fundamental theorems to the fields of mathematics, physics, of logic and frameworks for the study of astronomy, and their applications. The logics, in particular logical matrices, Kripke publication language is preferentially structures, combination of logics, categorical English. The series is primarily designed to logic, abstract proof theory, consequence publish monographs. Annotated sources and operators, and algebraic logic. It includes exceptional biographies might be accepted also books with historical and philosophical in rare cases. The series is aimed primarily discussions about the nature and scope at historians of science and libraries; it of logic. Three types of books will appear should also appeal to interested specialists, in the series: graduate textbooks, research students, and diploma and doctoral monographs, and volumes with contributed candidates. In cooperation with their papers. international editorial board, the editors hope to place a unique publication at the ‚‚ Completeness Theory for disposal of science historians throughout Propositional Logics 24 the world. ‚‚ Institution-independent Model Theory 24 ‚‚ Universal Algebraic Logic 23 ‚‚ Expounding the Mathematical Seed 20 ‚‚ Geometry and Monadology 20 ‚‚ Gnomes in the Fog 14 Vita Mathematica ‚‚ Italian Mathematics Between the Two Series Editor: World Wars 13 Fellmann, E.A., Basel, ‚‚ Jacopo da Firenze’s Tractatus Algorismi Switzerland and Early Italian Abbacus Culture 12 ‚‚ Japanese Mathematics in the The series Vita Edo Period (1600-1868) 5 Mathematica traces ‚‚ Lacroix and the Calculus 8 the professional lives of ‚‚ Patterns of Change 6 many of the world’s great ‚‚ Robert of Chester’s Redaction of mathematicians – from antiquity to the Euclids Elements, the so-called present day. These books are written broadly Adelard II Version 15 following the same pattern and take into ‚‚ Rockefeller and the consideration the research carried out on Internationalization of Mathematics the history of science in recent decades. Between the Two World Wars 15 ‚‚ The Algebraic Mind 4 ‚‚ Erhabene Welten 26 ‚‚ The Biology of Numbers 15 ‚‚ Euklid 29 ‚‚ The Moon that Wasn’t 16 ‚‚ Evariste Galois (1811-1832) 15 ‚‚ Tool and Object 12 ‚‚ Graßmann 28

37 Journals

Nexus Network Journal Editor-in-Chief: Williams, K., Torino, Italy ISSN: 1590-5896 (print) ISSN: 1522-4600 (electronic) 2009, Vol. 11 (3 issues) Institutional price: EUR 198.– Personal price: EUR 98.– Plus postage and handling. Special subscription rates for NAAM members.

www.birkhauser.ch/NNJ

NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin NTM Journal of the History of Science, Technology and Medicine Managing Editor: Nikolow, S., University of Bielefeld, Germany ISSN: 0036-6978 (print) ISSN: 1420-9144 (electronic) 2009, Vol. 17 (4 issues) Institutional price: EUR 198.– Plus postage and handling. Special subscription rates for DGGMNT members.

www.birkhauser.ch/NTM

Physics in Perspective Editors-in-Chief: Rigden, J.S., Washington University, St. Louis, MO, USA Stuewer, R.H., University of Minnesota, Minneapolis, MN, USA ISSN: 1422-6944 (print) ISSN: 1422-6960 (electronic) 2009, Vol. 11 (4 issues) Institutional price: EUR 288.– Personal price: EUR 79.– Plus postage and handling. Special subscription rates for APTS/AAPT members. Impact Factor: 0.417 (2007)

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38 Authors and Editors Index

Amrein, W.O. 6 Høyrup, J. 12 Pfister, H. 18 Andréka, H. 23 Pietsch, A. 13 Archives - Centre d'Etudes Im Hof, H.-C. 32 Pini, E. 11, 28 et de Recherche Henri Israel, G. 14 Pogorzelski, W.A. 24 Poincaré 36 Poincaré, H. 14 Jäger, G. 15 Pont, J.-C. 6 Barbour, J.B. 18 Jersmann, H.P.A. 22 Bart, H. 7 Radelet-de Grave, P., 30 Kaashoek, M.A., 7 Becchi, A. 20 Renn, J. 17 Kac, M. 10 Béziau, J.-Y. 23, 25, 36 Rife, P. 22 Kaluza, R. 22 Bignold, L.P. 21, 22 Rigden, J.S. 17, 38 Keller, A. 20 Bodenmann, S. 32 Rivasseau, V. 17 Klein, F. 5 Bokut, L.A. 4 Robotti, N. 7 Kleiner, I. 11 Boldini, P. 19 Rollet, L. 20 Kleinert, A. 32 Bolmont, E. 20 Rößler, W. 28 Knobloch, E. 37 Bourdeau, M. 19 Rota, G.-C. 10 Koslow, A. 23 Burgin, M. 23 Ruegg, H. 16 Kragh, H. 16, 37 Busard, H.L. 15 Krantz, S.G. 14 Sain, I. 23 Caparrini, S. 18 Krömer, R. 12, 20 Sarenac, D. 23 Caramalho Domingues, J. 8 Kung, J.P.S. 36 Scarpellini, B. 15 Coghlan, B.L.D. 21, 22 Kuroda, S. 4 Schiavon, M. 20 Coret, A. 20 Kvasz, L. 6 Schoepflin, U. 17 Corradi, M. 20 Scholz, E. 37 Lacki, J. 16 Corry, L. 13 Schönbeck, J. 29 Latyshev, V. 4 Schröder-Heister, P. 23 Läuchli, H. 15 Damour, T. 17 Schwartz, J.T. 10 Laugwitz, D. 10 Darrigol, O. 17 Schweizerische Akademie Lee, J.-L. 23 Dauben, J.W. 14 der Technischen Wissen- Lefèvre, W. 17 Davis, P.J. 15 schaften 29 Lehto, O. 26 De Risi, V. 20 Scriba, C.J. 14 Lucertini, M. 14 Diaconescu, R. 23, 24 Shestakov, I. 4 Lüneburg, H. 27 Dieudonne, J. 15 Siegmund-Schultze, R. 15 Drucker, T. 10 Mattmüller, M. 32 Sinaceur, H.B. 4 Duplantier, B. 17 Maksimova, L. 23 Smith, J.T. 12 Sommerfeld, A. 5, 14 Eichmann, K. 19, 22 Malinowski, G. 23 Marchisotto, E.A. 12, 15 Stachel, J. 17, 18, 36 Fellmann, E.A. 22, 32, 37 Martini, L. 4 Steffens, K.-G. 13 Ferreirós, J. 12 Mawhin, J. 20 Steiner, Th. 32 Foce, F. 20 Mazauric, S. 20 Strassen, V. 15 Folkerts, M. 15 Menzler-Trott, E. 29 Stuewer, R.H. 17, 38 Font, J.M. 23 Meyer, R. 26 Tammann, G.A. 32 Frei, G. 32 Mikhajlov, G.K. 32 Toti Rigatelli, L. 4, 15 Millàn Gasca, A. 14 Trudeau, R.J. 10 Gasca, A.M. 14 Mohan, M. 4 Gispert, H. 20 Monastyrsky, M.I. 10 van Atten, M. 19 Grasshoff, G. 29 Vasyukov, V. 23 Gray, J.J. 10 Nabonnand, P. 20 Vilenkin, N.Y. 15 Guerra, F. 7 Nastasi, P. 13 Volkert, K. 20 Guerraggio, A. 13 Németi, I. 23 Neuenschwander, E. 29 Walter, S. 20 Heinzmann, G. 19, 20, 36 Nickelsen, K. 29 Wanders, G. 16 Hempfling, T. 7 Nicolò, F. 14 Weil, A. 10, 22 Hersh, R. 15 Nikolow, S. 38 Weyl, H. 26 Herzig, A. 23 Nishimura, H. 4 Williams, K. 8, 18, 36, 38 Hesseling, D.E. 14 Wojtylak, P. 24 Heyne, A.K. 11, 28 Parks, H.R. 14 Hinz, A.M. 6 Patterson, S.J. 26 Yadav, B.S. 4 Hool, A. 29 Pearson, D.B. 6 Horiuchi, A. 5 Pedemonte, O. 20 Zelmanov, E. 4 Howard, D. 18, 36 Petsche, H.-J. 21, 29

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