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Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein To cite this version: David Aubin, Catherine Goldstein. Placing World War I in the History of Mathematics. 2013. hal- 00830121v1 HAL Id: hal-00830121 https://hal.sorbonne-universite.fr/hal-00830121v1 Preprint submitted on 4 Jun 2013 (v1), last revised 8 Jul 2014 (v2) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Placing World War I in the History of Mathematics David Aubin and Catherine Goldstein Abstract. In the historical literature, opposite conclusions were drawn about the impact of the First World War on mathematics. In this chapter, the case is made that the war was an important event for the history of mathematics. We show that although mathematicians' experience of the war was extremely varied, its impact was decisive on the life of a great number of them. We present an overview of some uses of mathematics in war and of the development of mathematics during the war. We conclude by arguing that the war also was a crucial factor in the institutional modernization of mathematics. Les vrais adversaires, dans la guerre d'aujourd'hui, ce sont les professeurs de math´ematiques`aleur table, les physiciens et les chimistes dans leur laboratoire. -
Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry
Mathematisches Forschungsinstitut Oberwolfach Report No. 30/2010 DOI: 10.4171/OWR/2010/30 Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry Organised by Gerhard Knieper, Bochum Leonid Polterovich, Tel Aviv Leonid Potyagailo, Lille July 11th – July 17th, 2010 Abstract. The main theme of the workshop is the interaction between the speedily developing fields of mathematics mentioned in the title. One of the purposes of the workshop is to highlight new exciting developments which are happening right now on the borderline between hyperbolic dynamics, geometric group theory and symplectic geometry. Mathematics Subject Classification (2000): 20Fxx, 22E40, 22E46, 22F10, 37D05, 37D40, 37K65, 53C22, 53Dxx. Introduction by the Organisers Most of the talks of the workshop largely included different aspects related to the main themes of the conference. There were talks given by the well-known specialists as well as by young participants (recent PhD or postdoctoral students). The scientific atmosphere was very fruitful. Many interesting scientific discussions between participants certainly generated new ideas for the further research. The following report contains extended abstracts of the presented talks. By continuing our tradition we included an updated list of open important problems related to the workshop. Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry 1763 Workshop: Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry Table of Contents Norbert Peyerimhoff (joint with Ioannis Ivrissimtzis) Spectral Representations, Archimedean Solids, and finite Coxeter Groups 1765 Fr´ed´eric Bourgeois A brief survey of contact homology ................................1768 Brian H. Bowditch Models of 3-manifolds and hyperbolicity ............................1769 Octav Cornea (joint with Paul Biran) Lagrangian submanifolds: their fundamental group and Lagrangian cobordism .................................................. -
LMS – EPSRC Durham Symposium
LMS – EPSRC Durham Symposium Anthony Byrne Grants and Membership Administrator 12th July 2016, Durham The work of the LMS for mathematics The charitable aims of the Society: Funding the advancement of mathematical knowledge Encouraging mathematical research and collaboration ’, George Legendre Celebrating mathematical 30 Pieces achievements Publishing and disseminating mathematical knowledge Advancing and promoting mathematics The attendees of the Young Researchers in Mathematics Conference 2015, held at Oxford Historical Moments of the London Mathematical Society 1865 Foundation of LMS at University College London George Campbell De Morgan organised the first meeting, and his father, Augustus De Morgan became the 1st President 1865 First minute book list of the 27 original members 1866 LMS moves to Old Burlington House, Piccadilly J.J. Sylvester, 2nd President of the Society. 1866 Julius Plûcker Thomas Hirst Plûcker Collection of boxwood models of quartic surfaces given to Thomas Archer Hirst, Vice- President of LMS, and donated to the Society 1870 Move to Asiatic Society, 22 Albemarle Street William Spottiswoode, President 1874 Donation of £1,000 from John William Strutt (Lord Rayleigh) Generous donation enabled the Society to publish volumes of the Proceedings of the London Mathematical Society. J.W. Strutt (Lord Rayleigh), LMS President 1876-78 1881 First women members Charlotte Angas Scott and Christine Ladd 1884 First De Morgan medal awarded to Arthur Cayley 1885 Sophie Bryant First woman to have a paper published in LMS Proceedings 1916 Return to Burlington House the home of LMS until 1998 1937 ACE ’s Automatic Turing LMS Proceedings, 1937 Computing Engine, published Alan Turing’s first paper 1950 On Computable Numbers 1947 Death of G.H. -
TRINITY COLLEGE Cambridge Trinity College Cambridge College Trinity Annual Record Annual
2016 TRINITY COLLEGE cambridge trinity college cambridge annual record annual record 2016 Trinity College Cambridge Annual Record 2015–2016 Trinity College Cambridge CB2 1TQ Telephone: 01223 338400 e-mail: [email protected] website: www.trin.cam.ac.uk Contents 5 Editorial 11 Commemoration 12 Chapel Address 15 The Health of the College 18 The Master’s Response on Behalf of the College 25 Alumni Relations & Development 26 Alumni Relations and Associations 37 Dining Privileges 38 Annual Gatherings 39 Alumni Achievements CONTENTS 44 Donations to the College Library 47 College Activities 48 First & Third Trinity Boat Club 53 Field Clubs 71 Students’ Union and Societies 80 College Choir 83 Features 84 Hermes 86 Inside a Pirate’s Cookbook 93 “… Through a Glass Darkly…” 102 Robert Smith, John Harrison, and a College Clock 109 ‘We need to talk about Erskine’ 117 My time as advisor to the BBC’s War and Peace TRINITY ANNUAL RECORD 2016 | 3 123 Fellows, Staff, and Students 124 The Master and Fellows 139 Appointments and Distinctions 141 In Memoriam 155 A Ninetieth Birthday Speech 158 An Eightieth Birthday Speech 167 College Notes 181 The Register 182 In Memoriam 186 Addresses wanted CONTENTS TRINITY ANNUAL RECORD 2016 | 4 Editorial It is with some trepidation that I step into Boyd Hilton’s shoes and take on the editorship of this journal. He managed the transition to ‘glossy’ with flair and panache. As historian of the College and sometime holder of many of its working offices, he also brought a knowledge of its past and an understanding of its mysteries that I am unable to match. -
LMS Prize Winners
id745843 pdfMachine by Broadgun Software - a great PDF writer! - a great PDF creator! - http://www.pdfmachine.com http://www.broadgun.com De Morgan House 57-58 Russell S quare London WC1B 4HS Media release 22 June 2007 Embargoed until 15:30 hrs Mathematician honoured for his $1 million dollar question The London Mathematical Society has awarded its foremost prize, the De Morgan Medal, to a mathematician who developed a problem which has yet to be solved. The LMS Council announced that Professor Bryan Birch, of the University of Oxford, had been awarded the triennial prize in recognition of his influential contributions to modern number theory. This area of mathematics is used in ensuring the security of Pin numbers and communications generally. In particular, Professor Birch worked with Professor Sir Peter Swinnerton-Dyer, of the University of Cambridge, to create a new area of arithmetic algebraic geometry. Together they formulated the Birch-Swinnerton-Dyer conjectures. Despite the best efforts of some of the greatest mathematical minds these remarkable conjectures are still open after 40 years and are amongst seven classic unsolved mathematical problems identified by the Clay Mathematics Institute in Cambridge, Massachusetts. The Institute is offering $1 million prizes for their proofs. Professor John Toland, President of the LMS, said, “These remarkable conjectures are still open and a million dollar prize awaits anyone who comes up with a proof. For these conjectures, and for many other seminal contributions, we honour Professor Birch today.” Professor Toland quoted mathematician Georg Cantor, who, in 1867 said, “In mathematics, the art of proposing a question must be held of higher value than solving it.” The Council for the LMS announced the De Morgan Medal and other prize winners at the Society Meeting held at University College London on 22 June. -
Linking Together Members of the Mathematical Carlos Rocha, University of Lisbon; Jean Taylor, Cour- Community from the US and Abroad
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Features Epimorphism Theorem Prime Numbers Interview J.-P. Bourguignon Societies European Physical Society Research Centres ESI Vienna December 2013 Issue 90 ISSN 1027-488X S E European M M Mathematical E S Society Cover photo: Jean-François Dars Mathematics and Computer Science from EDP Sciences www.esaim-cocv.org www.mmnp-journal.org www.rairo-ro.org www.esaim-m2an.org www.esaim-ps.org www.rairo-ita.org Contents Editorial Team European Editor-in-Chief Ulf Persson Matematiska Vetenskaper Lucia Di Vizio Chalmers tekniska högskola Université de Versailles- S-412 96 Göteborg, Sweden St Quentin e-mail: [email protected] Mathematical Laboratoire de Mathématiques 45 avenue des États-Unis Zdzisław Pogoda 78035 Versailles cedex, France Institute of Mathematicsr e-mail: [email protected] Jagiellonian University Society ul. prof. Stanisława Copy Editor Łojasiewicza 30-348 Kraków, Poland Chris Nunn e-mail: [email protected] Newsletter No. 90, December 2013 119 St Michaels Road, Aldershot, GU12 4JW, UK Themistocles M. Rassias Editorial: Meetings of Presidents – S. Huggett ............................ 3 e-mail: [email protected] (Problem Corner) Department of Mathematics A New Cover for the Newsletter – The Editorial Board ................. 5 Editors National Technical University Jean-Pierre Bourguignon: New President of the ERC .................. 8 of Athens, Zografou Campus Mariolina Bartolini Bussi GR-15780 Athens, Greece Peter Scholze to Receive 2013 Sastra Ramanujan Prize – K. Alladi 9 (Math. Education) e-mail: [email protected] DESU – Universitá di Modena e European Level Organisations for Women Mathematicians – Reggio Emilia Volker R. Remmert C. Series ............................................................................... 11 Via Allegri, 9 (History of Mathematics) Forty Years of the Epimorphism Theorem – I-42121 Reggio Emilia, Italy IZWT, Wuppertal University [email protected] D-42119 Wuppertal, Germany P. -
ONE HUNDRED YEARS of COMPLEX DYNAMICS the Subject of Complex Dynamics, That Is, the Behaviour of Orbits of Holomorphic Functions
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by University of Liverpool Repository ONE HUNDRED YEARS OF COMPLEX DYNAMICS MARY REES The subject of Complex Dynamics, that is, the behaviour of orbits of holomorphic functions, emerged in the papers produced, independently, by Fatou and Julia, almost 100 years ago. Although the subject of Dynami- cal Systems did not then have a name, the dynamical properties found for holomorphic systems, even in these early researches, were so striking, so unusually comprehensive, and yet so varied, that these systems still attract widespread fascination, 100 years later. The first distinctive feature of iter- ation of a single holomorphic map f is the partition of either the complex plane or the Riemann sphere into two sets which are totally invariant under f: the Julia set | closed, nonempty, perfect, with dynamics which might loosely be called chaotic | and its complement | open, possibly empty, but, if non-empty, then with dynamics which were completely classified by the two pioneering researchers, modulo a few simply stated open questions. Before the subject re-emerged into prominence in the 1980's, the Julia set was alternately called the Fatou set, but Paul Blanchard introduced the idea of calling its complement the Fatou set, and this was immediately universally accepted. Probably the main reason for the remarkable rise in interest in complex dynamics, about thirty-five years ago, was the parallel with the subject of Kleinian groups, and hence with the whole subject of hyperbolic geome- try. A Kleinian group acting on the Riemann sphere is a dynamical system, with the sphere splitting into two disjoint invariant subsets, with the limit set and its complement, the domain of discontinuity, having exactly similar properties to the Julia and Fatou sets. -
Public Recognition and Media Coverage of Mathematical Achievements
Journal of Humanistic Mathematics Volume 9 | Issue 2 July 2019 Public Recognition and Media Coverage of Mathematical Achievements Juan Matías Sepulcre University of Alicante Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Arts and Humanities Commons, and the Mathematics Commons Recommended Citation Sepulcre, J. "Public Recognition and Media Coverage of Mathematical Achievements," Journal of Humanistic Mathematics, Volume 9 Issue 2 (July 2019), pages 93-129. DOI: 10.5642/ jhummath.201902.08 . Available at: https://scholarship.claremont.edu/jhm/vol9/iss2/8 ©2019 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. Public Recognition and Media Coverage of Mathematical Achievements Juan Matías Sepulcre Department of Mathematics, University of Alicante, Alicante, SPAIN [email protected] Synopsis This report aims to convince readers that there are clear indications that society is increasingly taking a greater interest in science and particularly in mathemat- ics, and thus society in general has come to recognise, through different awards, privileges, and distinctions, the work of many mathematicians. -
PUBLICATIONS of the American Mathematical Society up to AMS Individual 20% Member Discount Receive Substantial Discounts on All AMS Published and Co-Published Books!
PUBLICATIONS of the American Mathematical Society up to AMS Individual 20% Member Discount Receive substantial discounts on all AMs published and co-published books! AMS Textbooks Find the right textbook for your course! The AMs publishes many high-quality books for use in the classroom. to view a comprehensive list of our most widely adopted textbooks, please visit www.ams.org/bookstore/textbooks To Prospective Contents Authors 3 Featured Selections If you would like to submit a manuscript to the AMs, please visit www.ams.org/authors 13 Algebra and Algebraic Geometry 15 Analysis 16 Applications 16 Differential Equations Applied Mathematics The AMs book publication program on 17 Discrete Mathematics and Combinatorics applied and interdisciplinary mathematics 18 Geometry and Topology strengthens the connections between white --> mathematics and other disciplines, 19 Logic and Foundations highlighting the areas where mathematics 20 Mathematical Physics is most relevant. These publications help mathematicians understand how 21 number Theory mathematical ideas may benefit other 22 Applied Mathematics sciences, while offering researchers outside of mathematics important tools to advance 24 Memoirs of the AMs their profession. to view all of our applied 25 AMs-Distributed Publications mathematics publications, go to: www.ams.org/bookstore/appliedmath 26 Index 30 ordering Information Order Online | www.ams.org/bookstore fE aturED Selections Elliptic Partial Differential Equations TEXTBOOK TEXTBOOKS 1 Second Edition FROM THE AMS Q I N G H A N Qing Han, University of Notre Dame, IN, and Fanghua Lin, Courant Institute, New York F A N G H U A L I N University, NY TEXTBOOK Elliptic Partial This volume is based on PDE courses given by the authors at the Courant Institute and at the Differential Equations University of Notre Dame, Indiana. -
EMS Newsletter No 38
CONTENTS EDITORIAL TEAM EUROPEAN MATHEMATICAL SOCIETY EDITOR-IN-CHIEF ROBIN WILSON Department of Pure Mathematics The Open University Milton Keynes MK7 6AA, UK e-mail: [email protected] ASSOCIATE EDITORS STEEN MARKVORSEN Department of Mathematics Technical University of Denmark Building 303 NEWSLETTER No. 38 DK-2800 Kgs. Lyngby, Denmark e-mail: [email protected] December 2000 KRZYSZTOF CIESIELSKI Mathematics Institute Jagiellonian University EMS News: Reymonta 4 Agenda, Editorial, Edinburgh Summer School, London meeting .................. 3 30-059 Kraków, Poland e-mail: [email protected] KATHLEEN QUINN Joint AMS-Scandinavia Meeting ................................................................. 11 The Open University [address as above] e-mail: [email protected] The World Mathematical Year in Europe ................................................... 12 SPECIALIST EDITORS INTERVIEWS The Pre-history of the EMS ......................................................................... 14 Steen Markvorsen [address as above] SOCIETIES Krzysztof Ciesielski [address as above] Interview with Sir Roger Penrose ............................................................... 17 EDUCATION Vinicio Villani Interview with Vadim G. Vizing .................................................................. 22 Dipartimento di Matematica Via Bounarotti, 2 56127 Pisa, Italy 2000 Anniversaries: John Napier (1550-1617) ........................................... 24 e-mail: [email protected] MATHEMATICAL PROBLEMS Societies: L’Unione Matematica -
Introduction
Notes Introduction 1 Marie Corelli, or Mary Mackay (1855–1924) was a successful romantic novelist. The quotation is from her pamphlet, Woman or – Suffragette? A Question of National Choice (London: C. Arthur Pearson, 1907). 2 Sally Ledger and Roger Luckhurst, eds, The Fin de Siècle: A Reader in Cultural History c.1880–1900 (Oxford: Oxford University Press, 2000), p. xii. 3 A central text is Steven Shapin and Simon Schaffer, Leviathan and the Air- pump: Hobbes, Boyle and the Experimental Life (Princeton: Princeton University Press, 1985). 4 Otto Mayr, ‘The science-technology relationship’, in Science in Context: Readings in the Sociology of Science, ed. by Barry Barnes and David Edge (Milton Keynes: Open University Press, 1982), pp. 155–163. 5 Nature, November 8 1900, News, p. 28. 6 For example Alison Winter, ‘A calculus of suffering: Ada Lovelace and the bodily constraints on women’s knowledge in early Victorian England’, in Science Incarnate: Historical Embodiments of Natural Knowledge, ed. by Christopher Lawrence and Steven Shapin (Chicago: University of Chicago Press, 1998), pp. 202–239 and Margaret Wertheim, Pythagoras’ Trousers: God, Physics and the Gender Wars (London: Fourth Estate, 1997). 7 Carl B. Boyer, A History of Mathematics (New York: Wiley, 1968), pp. 649–650. 8 For the social construction of mathematics see David Bloor, ‘Formal and informal thought’, in Science in Context: Readings in the Sociology of Science, ed. by Barry Barnes and David Edge (Milton Keynes: Open University Press, 1982), pp. 117–124; Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education, ed. by Sal Restivo, Jean Paul Bendegem and Roland Fisher (Albany: State University of New York Press, 1993). -
Non-Uniform Hyperbolicity in Complex Dynamics I, II
Non-uniform Hyperbolicity in Complex Dynamics I, II by JACEK GRACZYK 1& STANISLAV SMIRNOV2 1Universit´e de Paris-Sud, Mathematique, 91405 Orsay, France. (e-mail: [email protected]) 2Dept. of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden. (e-mail: [email protected]) Abstract We say that a rational function F satisfies the summability condition with exponent α if for every critical point c which belongs to the Julia set J there exists a positive integer ∞ n nc −α nc so that n=1 |(F ) (F (c)| < ∞ and F has no parabolic periodic cycles. Let µmax be the maximal multiplicity of the critical points. The objective is to study the Poincar´e series for a large class of rational maps and estab- lish ergodic and regularity properties of conformal measures. If F is summable with expo- δPoin(J) Poin nent α< δPoin(J)+µmax where δ (J)isthePoincar´e exponent of the Julia set then there exists a unique, ergodic, and non-atomic conformal measure ν with exponent δPoin(J)= ∞ n nc −α HDim(J). If F is polynomially summable with the exponent α, n=1 n|(F ) (F (c)| < ∞ and F has no parabolic periodic cycles, then F has an absolutely continuous invariant measure with respect to ν. This leads also to a new result about the existence of absolutely continuous invariant measures for multimodal maps of the interval. 2 We prove that if F is summable with an exponent α< 2+µmax then the Minkowski dimension of J is strictly less than 2 if J = C and F is unstable.