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Karl Weierstraß – Zum 200. Geburtstag „Alles Im Leben Kommt Doch Leider Zu Spät“ Reinhard Bölling Universität Potsdam, Institut Für Mathematik Prolog Nunmehr Im 74
1 Karl Weierstraß – zum 200. Geburtstag „Alles im Leben kommt doch leider zu spät“ Reinhard Bölling Universität Potsdam, Institut für Mathematik Prolog Nunmehr im 74. Lebensjahr stehend, scheint es sehr wahrscheinlich, dass dies mein einziger und letzter Beitrag über Karl Weierstraß für die Mediathek meiner ehemaligen Potsdamer Arbeitsstätte sein dürfte. Deshalb erlaube ich mir, einige persönliche Bemerkungen voranzustellen. Am 9. November 1989 ging die Nachricht von der Öffnung der Berliner Mauer um die Welt. Am Tag darauf schrieb mir mein Freund in Stockholm: „Herzlich willkommen!“ Ich besorgte das damals noch erforderliche Visum in der Botschaft Schwedens und fuhr im Januar 1990 nach Stockholm. Endlich konnte ich das Mittag- Leffler-Institut in Djursholm, im nördlichen Randgebiet Stockholms gelegen, besuchen. Dort befinden sich umfangreiche Teile des Nachlasses von Weierstraß und Kowalewskaja, die von Mittag-Leffler zusammengetragen worden waren. Ich hatte meine Arbeit am Briefwechsel zwischen Weierstraß und Kowalewskaja, die meine erste mathematikhistorische Publikation werden sollte, vom Inhalt her abgeschlossen. Das Manuskript lag in nahezu satzfertiger Form vor und sollte dem Verlag übergeben werden. Geradezu selbstverständlich wäre es für diese Arbeit gewesen, die Archivalien im Mittag-Leffler-Institut zu studieren. Aber auch als Mitarbeiter des Karl-Weierstraß- Institutes für Mathematik in Ostberlin gehörte ich nicht zu denen, die man ins westliche Ausland reisen ließ. – Nun konnte ich mir also endlich einen ersten Überblick über die Archivalien im Mittag-Leffler-Institut verschaffen. Ich studierte in jenen Tagen ohne Unterbrechung von morgens bis abends Schriftstücke, Dokumente usw. aus dem dortigen Archiv, denn mir stand nur eine Woche zur Verfügung. Am zweiten Tag in Djursholm entdeckte ich unter Papieren ganz anderen Inhalts einige lose Blätter, die Kowalewskaja beschrieben hatte. -
The Wrangler3.2
Issue No. 3, Autumn 2004 Leicester The Maths Wrangler From the mathematicians at the University of Leicester http://www.math.le.ac.uk/ email: [email protected] WELCOME TO The Wrangler This is the third issue of our maths newsletter from the University of Leicester’s Department of Mathematics. You can pick it up on-line and all the back issues at our new web address http://www.math.le.ac.uk/WRANGLER. If you would like to be added to our mailing list or have suggestions, just drop us a line at [email protected], we’ll be flattered! What do we have here in this new issue? You may wonder what wallpaper and frying pans have to do with each other. We will tell you a fascinating story how they come up in new interdisciplinary research linking geometry and physics. We portrait our chancellor Sir Michael Atiyah, who recently has received the Abel prize, the maths equivalent of the Nobel prize. Sir Michael Atiyah will also open the new building of the MMC, which will be named after him, with a public maths lecture. Everyone is very welcome! More info at our new homepage http://www.math.le.ac.uk/ Contents Welcome to The Wrangler Wallpaper and Frying Pans - Linking Geometry and Physics K-Theory, Geometry and Physics - Sir Michael Atiyah gets Abel Prize The GooglePlexor The Mathematical Modelling Centre MMC The chancellor of the University of Leicester and world famous mathematician Sir Michael Atiyah (middle) receives the Abel Prize of the year 2004 together with colleague Isadore Singer (left) during the prize ceremony with King Harald of Norway. -
Halloweierstrass
Happy Hallo WEIERSTRASS Did you know that Weierestrass was born on Halloween? Neither did we… Dmitriy Bilyk will be speaking on Lacunary Fourier series: from Weierstrass to our days Monday, Oct 31 at 12:15pm in Vin 313 followed by Mesa Pizza in the first floor lounge Brought to you by the UMN AMS Student Chapter and born in Ostenfelde, Westphalia, Prussia. sent to University of Bonn to prepare for a government position { dropped out. studied mathematics at the M¨unsterAcademy. University of K¨onigsberg gave him an honorary doctor's degree March 31, 1854. 1856 a chair at Gewerbeinstitut (now TU Berlin) professor at Friedrich-Wilhelms-Universit¨atBerlin (now Humboldt Universit¨at) died in Berlin of pneumonia often cited as the father of modern analysis Karl Theodor Wilhelm Weierstrass 31 October 1815 { 19 February 1897 born in Ostenfelde, Westphalia, Prussia. sent to University of Bonn to prepare for a government position { dropped out. studied mathematics at the M¨unsterAcademy. University of K¨onigsberg gave him an honorary doctor's degree March 31, 1854. 1856 a chair at Gewerbeinstitut (now TU Berlin) professor at Friedrich-Wilhelms-Universit¨atBerlin (now Humboldt Universit¨at) died in Berlin of pneumonia often cited as the father of modern analysis Karl Theodor Wilhelm Weierstraß 31 October 1815 { 19 February 1897 born in Ostenfelde, Westphalia, Prussia. sent to University of Bonn to prepare for a government position { dropped out. studied mathematics at the M¨unsterAcademy. University of K¨onigsberg gave him an honorary doctor's degree March 31, 1854. 1856 a chair at Gewerbeinstitut (now TU Berlin) professor at Friedrich-Wilhelms-Universit¨atBerlin (now Humboldt Universit¨at) died in Berlin of pneumonia often cited as the father of modern analysis Karl Theodor Wilhelm Weierstraß 31 October 1815 { 19 February 1897 sent to University of Bonn to prepare for a government position { dropped out. -
Weberˇs Planetary Model of the Atom
Weber’s Planetary Model of the Atom Bearbeitet von Andre Koch Torres Assis, Gudrun Wolfschmidt, Karl Heinrich Wiederkehr 1. Auflage 2011. Taschenbuch. 184 S. Paperback ISBN 978 3 8424 0241 6 Format (B x L): 17 x 22 cm Weitere Fachgebiete > Physik, Astronomie > Physik Allgemein schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, eBooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte. Weber’s Planetary Model of the Atom Figure 0.1: Wilhelm Eduard Weber (1804–1891) Foto: Gudrun Wolfschmidt in der Sternwarte in Göttingen 2 Nuncius Hamburgensis Beiträge zur Geschichte der Naturwissenschaften Band 19 Andre Koch Torres Assis, Karl Heinrich Wiederkehr and Gudrun Wolfschmidt Weber’s Planetary Model of the Atom Ed. by Gudrun Wolfschmidt Hamburg: tredition science 2011 Nuncius Hamburgensis Beiträge zur Geschichte der Naturwissenschaften Hg. von Gudrun Wolfschmidt, Geschichte der Naturwissenschaften, Mathematik und Technik, Universität Hamburg – ISSN 1610-6164 Diese Reihe „Nuncius Hamburgensis“ wird gefördert von der Hans Schimank-Gedächtnisstiftung. Dieser Titel wurde inspiriert von „Sidereus Nuncius“ und von „Wandsbeker Bote“. Andre Koch Torres Assis, Karl Heinrich Wiederkehr and Gudrun Wolfschmidt: Weber’s Planetary Model of the Atom. Ed. by Gudrun Wolfschmidt. Nuncius Hamburgensis – Beiträge zur Geschichte der Naturwissenschaften, Band 19. Hamburg: tredition science 2011. Abbildung auf dem Cover vorne und Titelblatt: Wilhelm Weber (Kohlrausch, F. (Oswalds Klassiker Nr. 142) 1904, Frontispiz) Frontispiz: Wilhelm Weber (1804–1891) (Feyerabend 1933, nach S. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
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..f.,5$1______ -~ survey -------) WHO WAS WHO IN KINETICS, REACTION ENGINEERING, AND CATALYSIS CAMI L. JACKSON AND JOSEPH H . HOLLES University of liyoming • Laramie, WY 82071 n the tradition of "Who was Who in Transport Phenom We have tried to include the names that are encountered ena" by Byron Bird in Chemical Engineering Education,CI J frequently in textbooks for both undergraduates and gradu Iwe have developed a similar set of microbiographies for ates (by noted authors such as Levenspiel, Hill, Fogler, and persons in the fields of kinetics, reaction engineering, and Froment and Bischoff). Again, we follow Bird's lead and do catalysis. As noted by Bird, an otherwise typical lecture not include these people simply for authoring books in these can be enlivened by presenting biographical information fields . We do, however, include-where appropriate- famous about the people whose names appear in famous equations, texts written by those scientists and engineers included for dimensionless groups, plots, approximations, and theories . other reasons. We have tried to focus on those persons who The wide variety of applications for this type of information contributed to the science of a field and not just contributed to has been demonstrated by using activity breaks to teach the a specific reaction or system (e.g., Haber and Bosch). While history of our professionl21 and as trading card rewards for contributions to specific reactions or systems are important, academic performance _l31 we elected not to include them in order to limit the scope of With the introduction and widespread acceptance ofWiki the project. Finally, we have tried to include interesting non pedia, basic biographical information on many of the early technical or non-professional information where possible to contributors to the profession of chemical engineering can be show the breadth of these individuals. -
Steven Ley 03/10 2012
Baran Group Meeting Lars Jørgensen Steven Ley 03/10 2012 Biography Major Prizes and Awards Born December 10, 1945 in Stamford, 1980 Corday Morgan Medal and Prize (Royal Society of Chemistry) Lincolnshire, England. 1981 The 1981-1983 Hickinbottom Research Fellowship (joint 1st recipient) (RSC) 1983 Pfizer Academic Award (1st recipient) (Pfizer PLC) Education 1988 Tilden Lectureship and Medal (Royal Society of Chemistry) 1969 BSc (first class hons) from 1989 Award for Organic Synthesis (Royal Society of Chemistry) Loughbourough University. 1992 Pedler Lectureship, Medal and Prize (Royal Society of Chemistry) 1969-1972 PhD from Loughbourough 1993 Simonsen Lectureship and Medal (Royal Society of Chemistry) University (Prof. H. Heaney). 1993 Award for Natural Product Chemistry (Royal Society of Chemistry) 1972-74 Postdoc at Ohio State University 1994 Adolf Windaus Medal (German Chemical Society - Georg-August University) (Prof. Leo. A. Paquette) 1995 The Novartis Research Fellowship (1995 - 2007) (Novartis) 1995 The Flintoff Medal (Royal Society of Chemistry) 1974-75 Postdoc at Imperial College (Prof. Sir 1996 The Dr. Paul Janssen Prize for Creativity in Organic Synthesis (Janssen R. F.) Derek H.R. Barton) 1996 George Kenner Prize and Lectureship (University of Liverpool) 1997 The Bakerian Lecturer (The Royal Society) 1998 The Rhône-Poulenc Lectureship, Medal and Prize (Royal Society of Chemistry) Academic Career 1999 The GlaxoWellcome Award for Outstanding Achievement in Organic Chemistry 1976-83 Lecturer, Imperial College (1st recipient) 1983-92 Prof. of Organic Chemistry, Imperial College 2000 The Davy Medal (The Royal Society) 1989-92 Head of Department, Imperial College 2001 Haworth Memorial Lectureship, Medal and Prize (Royal Society of Chemistry) 1992-present BP (1702) Prof. -
Personal and Contact Details
CURRICULUM VITAE Carol Vivien Robinson DBE FRS FMedSci Personal and Contact Details Date of Birth 10th April 1956 Maiden Name Bradley Nationality British Contact details Department of Physical and Theoretical Chemistry University of Oxford South Parks Road Oxford OX1 3QZ Tel : +44 (0)1865 275473 E-mail : [email protected] Web : http://robinsonweb.chem.ox.ac.uk/Default.aspx Education and Appointments 2009 Professorial Fellow, Exeter College, Oxford 2009 Dr Lee’s Professor of Physical and Theoretical Chemistry, University of Oxford 2006 - 2016 Royal Society Research Professorship 2003 - 2009 Senior Research Fellow, Churchill College, University of Cambridge 2001 - 2009 Professor of Mass Spectrometry, Dept. of Chemistry, University of Cambridge 1999 - 2001 Titular Professor, University of Oxford 1998 - 2001 Research Fellow, Wolfson College, Oxford 1995 - 2001 Royal Society University Research Fellow, University of Oxford 1991 - 1995 Postdoctoral Research Fellow, University of Oxford. Supervisor: Prof. C. M. Dobson FRS 1991 - 1991 Postgraduate Diploma in Information Technology, University of Keele 1983 - 1991 Career break: birth of three children 1982 - 1983 MRC Training Fellowship, University of Bristol Medical School 1980 - 1982 Doctor of Philosophy, University of Cambridge. Supervisor: Prof. D. H. Williams FRS 1979 - 1980 Master of Science, University of Wales. Supervisor: Prof. J. H. Beynon FRS 1976 - 1979 Graduate of the Royal Society of Chemistry, Medway College of Technology, Kent 1972 - 1976 ONC and HNC in Chemistry, Canterbury -
Fundamental Theorems in Mathematics
SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635]. -
Principles of Electrodynamics
Principles of Electrodynamics Carl Neumann Editor’s Note: English translation of Carl Neumann’s 1868 paper “Die Principien der Elektrodynamik”, [Neu68a]. Posted in August 2020 at www.ifi.unicamp.br/~assis 1 Contents 1 Section 1. Overview 6 1.1 Basis of the Investigation .................... 6 1.2 Weber’s Law ........................... 7 1.3 The Laws of Electric Repulsion and Induction ......... 10 1.4 The Principle of Vis Viva .................... 12 2 The Variation Coefficients 13 2.1 Preliminary Remark ....................... 13 2.2 Definition of the Variation Coefficients ............. 15 2.3 A Theorem on Variation Coefficients .............. 18 3 The Emissive and Receptive Potential 20 4 Weber’s Law 24 4.1 Derivation of the Law ...................... 24 4.2 Addenda ............................. 30 5 The Principle of Vis Viva 31 5.1 Consideration of Two Points .................. 31 5.2 Examination of an Arbitrary System of Points ........ 34 5.3 Afterword ............................. 37 6 Supplementary Remarks of Carl Neumann in the Year 1880 38 Bibliography 40 2 3 By Carl Neumann1,2,3 The individual areas of physical science could aptly be subdivided into two parts, according to the nature of the elementary forces which are assumed to explain the relevant phenomena. On one side stands celestial mechanics, elasticity, capillarity, in general those areas for which the direction and mag- nitude of the force is fully determined by the relative position of the material parts; on the other side are to be considered the investigations of friction, electricity and magnetism, and perhaps also optics, in general those areas of physics in which the known forces depend upon other conditions in addition to their relative positions – their velocities and accelerations, for example. -
Inauguration
INAUGURATION OF THE PERMANENT SECRETARIAT OF THE INTERNATIONAL MATHEMATICAL UNION February 1, 2011, Berlin, Germany Ribbon Cutting Ceremony: Professor Dr. Martin Grötschel, Dr. Georg Schütte, Professor Dr. Ingrid Daubechies, Dr. Knut Nevermann, Professor Dr. Jürgen Sprekels (from left to right), and Gauss on the wall. Contents The IMU and Berlin ..................................................................................................................... 3 Where to find the IMU Secretariat ............................................................................................... 4 Adresses delivered at the Opening Ceremony ............................................................................. 5 Dr. Georg Schütte, State Secretary at the German Federal Ministry of Education and Research .............................. 5 Professor Dr. Jürgen Zöllner, Senator for Education, Science and Research of the State of Berlin, speech read by Dr. Knut Nevermann, State Secretary for Science and Research at the Berlin Senate .................................................... 8 Professor Dr. Ingrid Daubechies, President of the International Mathematical Union ............. 10 Professor Dr. Christian Bär, President of the German Mathematical Society (DMV) ............. 12 Professor Dr. Jürgen Sprekels, Director of the Weierstrass Institute, Berlin ............................ 13 The Team of the Permanent Secretariat ..................................................................................... 16 Impressions from the Opening -
Philosophical Transactions (A)
INDEX TO THE PHILOSOPHICAL TRANSACTIONS (A) FOR THE YEAR 1889. A. A bney (W. de W.). Total Eclipse of the San observed at Caroline Island, on 6th May, 1883, 119. A bney (W. de W.) and T horpe (T. E.). On the Determination of the Photometric Intensity of the Coronal Light during the Solar Eclipse of August 28-29, 1886, 363. Alcohol, a study of the thermal properties of propyl, 137 (see R amsay and Y oung). Archer (R. H.). Observations made by Newcomb’s Method on the Visibility of Extension of the Coronal Streamers at Hog Island, Grenada, Eclipse of August 28-29, 1886, 382. Atomic weight of gold, revision of the, 395 (see Mallet). B. B oys (C. V.). The Radio-Micrometer, 159. B ryan (G. H.). The Waves on a Rotating Liquid Spheroid of Finite Ellipticity, 187. C. Conroy (Sir J.). Some Observations on the Amount of Light Reflected and Transmitted by Certain 'Kinds of Glass, 245. Corona, on the photographs of the, obtained at Prickly Point and Carriacou Island, total solar eclipse, August 29, 1886, 347 (see W esley). Coronal light, on the determination of the, during the solar eclipse of August 28-29, 1886, 363 (see Abney and Thorpe). Coronal streamers, observations made by Newcomb’s Method on the Visibility of, Eclipse of August 28-29, 1886, 382 (see A rcher). Cosmogony, on the mechanical conditions of a swarm of meteorites, and on theories of, 1 (see Darwin). Currents induced in a spherical conductor by variation of an external magnetic potential, 513 (see Lamb). 520 INDEX.