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Guido Fubini-Ghiron
Intellectuals Displaced from Fascist Italy Firenze University Press 2019- Guido Fubini-Ghiron Go to personal file When he was almost 60, he was expelled from the Polytechnic University of Link to other connected Lives on the move: Turin because he was Jewish. Known as one of the sharpest and most intelligent Italian analysts, he decided to continue his brilliant work on Fubini Mario Fubini Ghiron Eugenio 1 differential geometry abroad, hoping for a better future for him and his family . (Eugene) Fubini Ghiron Gino He immediately left for Paris, and soon found himself welcomed to Princeton. His two sons, expelled in Italy at the beginning of their academic career, also found their way to the USA and stayed there. Formative years in Paris He was born in Venice on 19 January 1879 to Lazzaro Fubini, a mathematics teacher at the machinist school, and to Zoraide Torre. At only nine years old, he was enrolled at Foscarini High School in Venice, achieving, in his eight years of ginnasio and liceo [junior high school and high school], perfect grades (all 10s) in mathematics2. In 1896, at seventeen years old, he enrolled in the Facoltà di Matematica [School of Mathematics] at the Scuola normale superiore of Pisa, «where many scholars became passionate about research in geometry»3. A student of Ulisse Dini, Eugenio Bertini and, above all, Luigi Bianchi, he graduated with honors in 1900 with a thesis titled «Il parallelismo di Clifford negli spazi ellittici» [Clifford’s parallelism in elliptical spaces]4. 1 Letter of 30 October 1938 from Tullio Levi-Civita to Oswald Veblen from the Institute for Advanced Study at Princeton University, translated and reported on the Università Bocconi’s website, section Rubriche <http://matematica-old.unibocconi.it> (accessed 2 February 2019). -
Chapter 5 Product Measures
Chapter 5 Product Measures Lebesgue measure on R generalizes the notion of the length of an interval. In this chapter, we see how two-dimensional Lebesgue measure on R2 generalizes the notion of the area of a rectangle. More generally, we construct new measures that are the products of two measures. Once these new measures have been constructed, the question arises of how to compute integrals with respect to these new measures. Beautiful theorems proved in the first decade of the twentieth century allow us to compute integrals with respect to product measures as iterated integrals involving the two measures that produced the product. Furthermore, we will see that under reasonable conditions we can switch the order of an iterated integral. Main building of Scuola Normale Superiore di Pisa, the university in Pisa, Italy, where Guido Fubini (1879–1943) received his PhD in 1900. In 1907 Fubini proved that under reasonable conditions, an integral with respect to a product measure can be computed as an iterated integral and that the order of integration can be switched. Leonida Tonelli (1885–1943) also taught for many years in Pisa; he also proved a crucial theorem about interchanging the order of integration in an iterated integral. CC-BY-SA Lucarelli © Sheldon Axler 2020 S. Axler, Measure, Integration & Real Analysis, Graduate Texts 116 in Mathematics 282, https://doi.org/10.1007/978-3-030-33143-6_5 Section 5A Products of Measure Spaces 117 5A Products of Measure Spaces Products of s-Algebras Our first step in constructing product measures is to construct the product of two s-algebras. -
Herbert Busemann (1905--1994)
HERBERT BUSEMANN (1905–1994) A BIOGRAPHY FOR HIS SELECTED WORKS EDITION ATHANASE PAPADOPOULOS Herbert Busemann1 was born in Berlin on May 12, 1905 and he died in Santa Ynez, County of Santa Barbara (California) on February 3, 1994, where he used to live. His first paper was published in 1930, and his last one in 1993. He wrote six books, two of which were translated into Russian in the 1960s. Initially, Busemann was not destined for a mathematical career. His father was a very successful businessman who wanted his son to be- come, like him, a businessman. Thus, the young Herbert, after high school (in Frankfurt and Essen), spent two and a half years in business. Several years later, Busemann recalls that he always wanted to study mathematics and describes this period as “two and a half lost years of my life.” Busemann started university in 1925, at the age of 20. Between the years 1925 and 1930, he studied in Munich (one semester in the aca- demic year 1925/26), Paris (the academic year 1927/28) and G¨ottingen (one semester in 1925/26, and the years 1928/1930). He also made two 1Most of the information about Busemann is extracted from the following sources: (1) An interview with Constance Reid, presumably made on April 22, 1973 and kept at the library of the G¨ottingen University. (2) Other documents held at the G¨ottingen University Library, published in Vol- ume II of the present edition of Busemann’s Selected Works. (3) Busemann’s correspondence with Richard Courant which is kept at the Archives of New York University. -
Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
Mathematisches Forschungsinstitut Oberwolfach Emigration Of
Mathematisches Forschungsinstitut Oberwolfach Report No. 51/2011 DOI: 10.4171/OWR/2011/51 Emigration of Mathematicians and Transmission of Mathematics: Historical Lessons and Consequences of the Third Reich Organised by June Barrow-Green, Milton-Keynes Della Fenster, Richmond Joachim Schwermer, Wien Reinhard Siegmund-Schultze, Kristiansand October 30th – November 5th, 2011 Abstract. This conference provided a focused venue to explore the intellec- tual migration of mathematicians and mathematics spurred by the Nazis and still influential today. The week of talks and discussions (both formal and informal) created a rich opportunity for the cross-fertilization of ideas among almost 50 mathematicians, historians of mathematics, general historians, and curators. Mathematics Subject Classification (2000): 01A60. Introduction by the Organisers The talks at this conference tended to fall into the two categories of lists of sources and historical arguments built from collections of sources. This combi- nation yielded an unexpected richness as new archival materials and new angles of investigation of those archival materials came together to forge a deeper un- derstanding of the migration of mathematicians and mathematics during the Nazi era. The idea of measurement, for example, emerged as a critical idea of the confer- ence. The conference called attention to and, in fact, relied on, the seemingly stan- dard approach to measuring emigration and immigration by counting emigrants and/or immigrants and their host or departing countries. Looking further than this numerical approach, however, the conference participants learned the value of measuring emigration/immigration via other less obvious forms of measurement. 2892 Oberwolfach Report 51/2011 Forms completed by individuals on religious beliefs and other personal attributes provided an interesting cartography of Italian society in the 1930s and early 1940s. -
Toward a Scientific and Personal Biography of Tullio Levi-Civita (1873-1941) Pietro Nastasi, Rossana Tazzioli
Toward a scientific and personal biography of Tullio Levi-Civita (1873-1941) Pietro Nastasi, Rossana Tazzioli To cite this version: Pietro Nastasi, Rossana Tazzioli. Toward a scientific and personal biography of Tullio Levi-Civita (1873-1941). Historia Mathematica, Elsevier, 2005, 32 (2), pp.203-236. 10.1016/j.hm.2004.03.003. hal-01459031 HAL Id: hal-01459031 https://hal.archives-ouvertes.fr/hal-01459031 Submitted on 7 Feb 2017 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. Towards a Scientific and Personal Biography of Tullio Levi-Civita (1873-1941) Pietro Nastasi, Dipartimento di Matematica e Applicazioni, Università di Palermo Rossana Tazzioli, Dipartimento di Matematica e Informatica, Università di Catania Abstract Tullio Levi-Civita was one of the most important Italian mathematicians in the early part of the 20th century, contributing significantly to a number of research fields in mathematics and physics. In addition, he was involved in the social and political life of his time and suffered severe political and racial persecution during the period of Fascism. He tried repeatedly and in several cases successfully to help colleagues and students who were victims of anti-Semitism in Italy and Germany. -
The Case of Sicily, 1880–1920 Rossana Tazzioli
Interplay between local and international journals: The case of Sicily, 1880–1920 Rossana Tazzioli To cite this version: Rossana Tazzioli. Interplay between local and international journals: The case of Sicily, 1880–1920. Historia Mathematica, Elsevier, 2018, 45 (4), pp.334-353. 10.1016/j.hm.2018.10.006. hal-02265916 HAL Id: hal-02265916 https://hal.archives-ouvertes.fr/hal-02265916 Submitted on 12 Aug 2019 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. Interplay between local and international journals: The case of Sicily, 1880–1920 Rossana Tazzioli To cite this version: Rossana Tazzioli. Interplay between local and international journals: The case of Sicily, 1880–1920. Historia Mathematica, Elsevier, 2018, 45 (4), pp.334-353. 10.1016/j.hm.2018.10.006. hal-02265916 HAL Id: hal-02265916 https://hal.archives-ouvertes.fr/hal-02265916 Submitted on 12 Aug 2019 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. -
LONG-TERM HISTORY and EPHEMERAL CONFIGURATIONS Catherine Goldstein
LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS Catherine Goldstein To cite this version: Catherine Goldstein. LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS. Interna- tional Congress of Mathematicians, Aug 2018, Rio de Janeiro, Brazil. pp.487-522. hal-02334505 HAL Id: hal-02334505 https://hal.archives-ouvertes.fr/hal-02334505 Submitted on 29 Oct 2019 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. LONG-TERM HISTORY AND EPHEMERAL CONFIGURATIONS CATHERINE GOLDSTEIN Abstract. Mathematical concepts and results have often been given a long history, stretching far back in time. Yet recent work in the history of mathe- matics has tended to focus on local topics, over a short term-scale, and on the study of ephemeral configurations of mathematicians, theorems or practices. The first part of the paper explains why this change has taken place: a renewed interest in the connections between mathematics and society, an increased at- tention to the variety of components and aspects of mathematical work, and a critical outlook on historiography itself. The problems of a long-term history are illustrated and tested using a number of episodes in the nineteenth-century history of Hermitian forms, and finally, some open questions are proposed. -
Short Curriculum Vitae (1)
Alfonso Sorrentino Short Curriculum Vitae (1) • Personal data: Family name: Sorrentino First name: Alfonso Nationality: Italian Web site: https://www.mat.uniroma2.it/∼sorrenti/ • Education: 2008 - Ph.D. in Mathematics, Dept. of Mathematics, Princeton University (USA). xxxxxxPh.D. Supervisor: Prof. John N. Mather. 2004 - M.A. in Mathematics, Dept. of Mathematics, Princeton University (USA). 2003 - Laurea degree in Mathematics (Summa cum laude), Univ. Roma Tre (Italy). • Currrent Position: Since November 2020: Full Professor in Mathematical Analysis, Univ. Rome Tor Vergata (Italy). • Previous Positions: 2014–2020 Associate Professor in Mathematical Analysis, Univ. Rome Tor Vergata (Italy). 2012– 2014 - Researcher in Mathematical Analysis (tenured), Univ. Roma Tre (Italy). • Fellowships: Spring 2021 - Invited Professor, Institute Henri Poincaré & Univ. Paris Sorbonne (France). Spring 2020 - Research fellowship, Instit. for Pure and Applied Mathem. (IPAM), UCLA (USA). Fall 2018x- Research membership, MSRI Berkeley (USA). 2009–2012 - Herchel-Smith research fellowship in Pure Mathematics, Univ. of Cambridge (UK). 2009–2012 - Newton Trust fellowship in Mathematics, Pembroke College, Cambridge (UK). 2008–2009 - Junior research fellowship, Fondation des Sciences Mathématiques, Paris (France). 2003–2008 - Frelinghuysen Ph.D. scholarship, Princeton University (USA). 2012 - Marie Curie INdAM confund fellowship Ranked 1st with full score (Declined because xxxxx incompatible with the concurrent appointment as tenured Researcher at Univ. Roma Tre). • Awards: 2020 - International Consortium of Chinese Mathematicians Best Paper Award (Gold Medal). 2019 - Barcelona Dynamical System Prize 2019, Societat Catalana de Matemàtiques (Spain). 2018 - Guido Fubini Prize for Mathematics, Accademia delle Scienze di Torino (Italy). • Habilitations: 2018 - Italian National Habilitation (ASN) for Full Professor in Mathematical Analysis. 2018 - Italian National Habilitation (ASN) for Full Professor in Algebra and Geometry. -
University of Copenhagen | [email protected]
Episodes of interferences of War and Mathematics in the Life and Work of Werner Fenchel Kjeldsen, Tinne Hoff Published in: Amazônia DOI: 10.18542/amazrecm.v16i35.8559 Publication date: 2020 Document version Publisher's PDF, also known as Version of record Document license: CC BY Citation for published version (APA): Kjeldsen, T. H. (2020). Episodes of interferences of War and Mathematics in the Life and Work of Werner Fenchel. Amazônia, 16(35), 15-27. https://doi.org/10.18542/amazrecm.v16i35.8559 Download date: 29. Sep. 2021 Episodes of interferences of War and Math in the Life and Work of Werner Fenchel Episódios de interferências da Guerra e da Matemática na vida e na obra de Werner Fenchel Tinne Hoff Kjeldsen1 Resumo No presente artigo, estudamos episódios da vida e obra do matemático alemão- dinamarquês Werner Fenchel na perspectiva da importância da Segunda Guerra Mundial. Por um lado, veremos como a sociedade matemática, em particular o matemático Harald Bohr, ajudou Fenchel a estabelecer uma vida acadêmica em Copenhague, na Dinamarca. Por outro lado, veremos como a organização da contribuição do cientista para o esforço de guerra nos EUA durante a guerra e o financiamento militar pós-guerra da pesquisa acadêmica no período pós-guerra interferiu em alguns dos trabalhos matemáticos de Fenchel, especialmente em sua contribuição para a teoria da dualidade na programação não linear. Como tal, o estudo apresentado neste artigo contribui para nossa compreensão de como a matemática e as condições de um determinado local e tempo interferem na história da matemática. Keywords: Funções conjugadas convexas; dualidade de Fenchel; história da programação matemática; Abordagem da história da matemática de múltiplas perspectivas. -
Herbert Busemann
COMMUNICATION Herbert Busemann Athanase Papadopoulos Initially, Busemann was not destined for a mathematical career. His father was a very successful business- man who wanted his son to become, like him, a businessman. Thus, the young Her- bert after high school spent two and a half years in business. Several years later, Busemann recalls that he always wanted to study mathematics and describes this pe- riod as “two and a half lost years of my life.”… Herbert Busemann, Selected Works in two volumes by Several years after Herbert Busemann; Athanase he left Göttingen, Herbert Busemann, 1954 Papadopoulos, ed. Busemann shared his Springer, 2018 recollections on the EDITOR’S NOTE. Athanase Papadopoulos has kindly let 908 and 842 pages. teaching he received us publish these excerpts from his introductory ma- there.… terial1 to Herbert Busemann: Selected Works I and II 2. Busemann was deeply involved in fundamental ques- Busemann recounts the following: tions of convexity and is the main founder of metric Officially, I took my degree with Courant. This was only geometry as we intend it today. He was a member of the officially, in the sense that I was really inspired by Paul Royal Danish Academy, a winner of the Lobachevsky Alexandroff, who visited Göttingen regularly. He gave me Medal (1985), president of the California chapter of the the idea of the subject of the thesis. I wrote it, but of course Mathematical Association of America, a member of the he could not be the official reviewer of my thesis, so he council of the American Mathematical Society, and an was my co-referee. -
Nonlinear Analysis in Geodesic Metric Spaces
Nonlinear analysis in geodesic metric spaces Ian J Searston BSc, MMaths The University of Newcastle Callaghan, NSW 2308, Australia A thesis submitted for the degree of Doctor of Philosophy (Mathematics) July, 2014 ii This thesis contains no material which has been accepted for the award of any other degree or diploma in any university or other tertiary institution and, to the best of my knowledge and belief, contains no material previously published or written by another person, except where due reference has been made in the text. I give consent to the final version of my thesis being made available worldwide when deposited in the University’s Digital Repository, subject to the provisions of the Copyright Act 1968. Signature: .................................................. Date: ............................ iii Acknowledgements To have reached this stage in my mathematical journey I owe much to my principal supervisor, Associate Professor Brailey Sims, and my co- supervisor, Professor George Willis. Over this period Associate Pro- fessor Sims has been a tower of strength. He has been patient and encouraging at all times, his scholarship has been inspiring and has displayed a continuous enthusiasm for mathematics and the teaching thereof. Professor Willis has been patient and always showed a keen interest in my research. I also wish to acknowledge the help of Laureate Professor Jonathan Borwein, Director of the Priority Research Centre for Computer-Assisted Mathematics and its Applications (CARMA). He has offered advice, suggested further avenues to explore and presented many thought pro- voking talks. As well, CARMA has provided some financial assistance to attend conferences. My thanks also go to two other members of staff, Miss Rebecca Smith and Mr Matthew Skerritt, for their advice and assistance with technical issues.