Hans Lewy Papers
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Academic Genealogy of George Em Karniadakis
Nilos Kabasilas Demetrios Kydones Elissaeus Judaeus Manuel Chrysoloras Georgios Plethon Gemistos 1380, 1393 Basilios Bessarion 1436 Mystras Guarino da Verona Johannes Argyropoulos 1408 1444 Università di Padova Vittorino da Feltre Cristoforo Landino Marsilio Ficino 1416 Università di Padova 1462 Università di Firenze Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Theodoros Gazes Angelo Poliziano Università di Mantova 1433 Constantinople / Università di Mantova 1477 Università di Firenze Leo Outers Alessandro Sermoneta Gaetano da Thiene Moses Perez Scipione Fortiguerra Demetrios Chalcocondyles Jacob ben Jehiel Loans Rudolf Agricola Thomas à Kempis Heinrich von Langenstein 1485 Université Catholique de Louvain 1493 Università di Firenze 1452 Mystras / Accademia Romana 1478 Università degli Studi di Ferrara 1363, 1375 Université de Paris Maarten (Martinus Dorpius) van Dorp Pelope Pietro Roccabonella Nicoletto Vernia François Dubois Jean Tagault Girolamo (Hieronymus Aleander) Aleandro Janus Lascaris Matthaeus Adrianus Johann (Johannes Kapnion) Reuchlin Jan Standonck Alexander Hegius Johannes von Gmunden 1504, 1515 Université Catholique de Louvain Università di Padova Università di Padova 1516 Université de Paris 1499, 1508 Università di Padova 1472 Università di Padova 1477, 1481 Universität Basel / Université de Poitiers 1474, 1490 Collège Sainte-Barbe / Collège de Montaigu 1474 1406 Universität Wien Niccolò Leoniceno Jacobus (Jacques Masson) Latomus Desiderius Erasmus Petrus (Pieter de Corte) Curtius Pietro Pomponazzi Jacobus (Jacques -
German Jews in the United States: a Guide to Archival Collections
GERMAN HISTORICAL INSTITUTE,WASHINGTON,DC REFERENCE GUIDE 24 GERMAN JEWS IN THE UNITED STATES: AGUIDE TO ARCHIVAL COLLECTIONS Contents INTRODUCTION &ACKNOWLEDGMENTS 1 ABOUT THE EDITOR 6 ARCHIVAL COLLECTIONS (arranged alphabetically by state and then city) ALABAMA Montgomery 1. Alabama Department of Archives and History ................................ 7 ARIZONA Phoenix 2. Arizona Jewish Historical Society ........................................................ 8 ARKANSAS Little Rock 3. Arkansas History Commission and State Archives .......................... 9 CALIFORNIA Berkeley 4. University of California, Berkeley: Bancroft Library, Archives .................................................................................................. 10 5. Judah L. Mages Museum: Western Jewish History Center ........... 14 Beverly Hills 6. Acad. of Motion Picture Arts and Sciences: Margaret Herrick Library, Special Coll. ............................................................................ 16 Davis 7. University of California at Davis: Shields Library, Special Collections and Archives ..................................................................... 16 Long Beach 8. California State Library, Long Beach: Special Collections ............. 17 Los Angeles 9. John F. Kennedy Memorial Library: Special Collections ...............18 10. UCLA Film and Television Archive .................................................. 18 11. USC: Doheny Memorial Library, Lion Feuchtwanger Archive ................................................................................................... -
How a Minimal Surface Leaves an Obstacle
HOW A MINIMAL SURFACE LEAVES AN OBSTACLE BY DAVID KINDERLEHRER University of Minnesota, Minneapolis, MN 55455, USA (1) This paper is an investigation of the curve of separation determined by the solution to a variational inequality for minimal surfaces. A strictly convex domain ~ in the z = x 1 +ix~ plane is given together with a smooth function ~p which assumes a positive maxi- mum in ~ and is negative on ~, the boundary of ~. Let u denote the Lipschitz function which minimizes area among all Lipschitz functions in ~ constrained to lie above ~p in and to vanish on a~. For such u there is a coincidence set I c ~ consisting of those points z where u(z)=yJ(z). Let us call F={(xl, x~, xa): xa=u(z)=y~(z), zE~I} the "curve" of se- paration. The object of this paper is to show that F is analytic, as a function of its arc length parameter, provided that y; is strictly concave and analytic. The study of the coincidence set of the solution to a variational inequality and its curve of separation was originated, together with the study of the regularity of the solu- tion, by H. Lewy and G. Stampacchia ([11)]. They obtained, essentially, the result pre- sented here for the variational inequality derived from the Dirichlet Integral. The topo- logical conclusion that r is a Jordan curve was reached under the assumption that yJ E C2(~) be strictly concave, a conclusion valid for a wide variety of cases, in particular the problem treated in this paper ([6]). Our demonstration reties on the resolution of a system of differential equations and the utilization of the solution to extend analytically a conformal representation of the minimal surface which is the graph of u in the subset of ~ where u(z)>~(z). -
Classics in Mathematics Richard Courant· Fritz John Introduction To
Classics in Mathematics Richard Courant· Fritz John Introduction to Calculus and Analysis Volume I Springer-V erlag Berlin Heidelberg GmbH Richard Courant • Fritz John Introd uction to Calculus and Analysis Volume I Reprint of the 1989 Edition Springer Originally published in 1965 by Interscience Publishers, a division of John Wiley and Sons, Inc. Reprinted in 1989 by Springer-Verlag New York, Inc. Mathematics Subject Classification (1991): 26-XX, 26-01 Cataloging in Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Courant, Richard: Introduction to calcu1us and analysis / Richard Courant; Fritz John.- Reprint of the 1989 ed.- Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Singapore; Tokyo: Springer (Classics in mathematics) VoL 1 (1999) ISBN 978-3-540-65058-4 ISBN 978-3-642-58604-0 (eBook) DOI 10.1007/978-3-642-58604-0 Photograph of Richard Courant from: C. Reid, Courant in Gottingen and New York. The Story of an Improbable Mathematician, Springer New York, 1976 Photograph of Fritz John by kind permission of The Courant Institute of Mathematical Sciences, New York ISSN 1431-0821 This work is subject to copyright. All rights are reserved. whether the whole or part of the material is concemed. specifically the rights of trans1ation. reprinting. reuse of illustrations. recitation. broadcasting. reproduction on microfilm or in any other way. and storage in data banks. Duplication of this publication or parts thereof is permitted onlyunder the provisions of the German Copyright Law of September 9.1965. in its current version. and permission for use must always be obtained from Springer-Verlag. Violations are Iiable for prosecution under the German Copyright Law. -
Notices of the American Mathematical
OF THE AMERICAN MATHEMATICAL SOCIETY VOLUMf 12, NUMBER 2 ISSUE NO. 80 FEBRUARY 1965 cNotiaiJ OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. \Yalker CONTENTS MEETINGS Calendar of Meetings o o o o o o o o o • o o • o o o o o o o • o 0 o 0 o 0 • 0 • 0 0 • 0 0 184 Program of the Meeting in New York. o 0 o 0 o 0 0 • 0 o o o 0 0 0 0 • 0 0 0 0 0 • 185 Abstracts for the Meeting- Pages 209-216 PRELIMINARY ANNOUNCEMENTS OF MEETINGS • o o o o o o o o • o 0 • 0 • 0 • • • 188 ACTIVITIES OF OTHER ASSOCIATIONS •••• o o. o o o o • o o o •• o 0 0 0. o 0 0 0 0 191 LETTERS TO THE EDITOR • o ••••• o o • o o o o o • o ••• o •••• o o o •• o o • o o 192 MEMORANDA TO MEMBERS List of Retired Mathematicians 190 Increase in Page Charges o o ••• o •• o • o o o •••••• 0 ••• 0 0 0 •• 0 0 0 0 194 Journals in Microform • o •••• o 0 ••• o • o ••• 0 •• o ••••• 0 •• 0 • • • • 194 Backlog of Mathematics Research Journals 0 0 0. 0. 0 ••• 0 •• 0 •• 0.. 195 Corporate Members ••••••••••••• 0 • 0 0 0 0 •• 0 0 • 0 •• 0 0 •• 0 ••• 0 201 ASSISTANTSHIPS AND FELLOWSHIPS IN MATHEMATICS 1965-1966 0 ••• 0 • 0 196 NEW AMS PUBLICATIONS • o •• o •• o •••• o • o o ••••• o o o •• o o •• o • o • o • 197 PERSONAL ITEMS .••••• o •• o. -
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. -
Implications for Understanding the Role of Affect in Mathematical Thinking
Mathematicians and music: Implications for understanding the role of affect in mathematical thinking Rena E. Gelb Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy under the Executive Committee of the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2021 © 2021 Rena E. Gelb All Rights Reserved Abstract Mathematicians and music: Implications for understanding the role of affect in mathematical thinking Rena E. Gelb The study examines the role of music in the lives and work of 20th century mathematicians within the framework of understanding the contribution of affect to mathematical thinking. The current study focuses on understanding affect and mathematical identity in the contexts of the personal, familial, communal and artistic domains, with a particular focus on musical communities. The study draws on published and archival documents and uses a multiple case study approach in analyzing six mathematicians. The study applies the constant comparative method to identify common themes across cases. The study finds that the ways the subjects are involved in music is personal, familial, communal and social, connecting them to communities of other mathematicians. The results further show that the subjects connect their involvement in music with their mathematical practices through 1) characterizing the mathematician as an artist and mathematics as an art, in particular the art of music; 2) prioritizing aesthetic criteria in their practices of mathematics; and 3) comparing themselves and other mathematicians to musicians. The results show that there is a close connection between subjects’ mathematical and musical identities. I identify eight affective elements that mathematicians display in their work in mathematics, and propose an organization of these affective elements around a view of mathematics as an art, with a particular focus on the art of music. -
Professor Richard Courant (1888 – 1972)
Professor Richard Courant (1888 – 1972) From Wikipedia, the free encyclopedia, http://en.wikipedia.org/wiki/Richard_Courant Field: Mathematics Institutions: University of Göttingen University of Münster University of Cambridge New York University Alma mater: University of Göttingen Doctoral advisor: David Hilbert Doctoral students: William Feller Martin Kruskal Joseph Keller Kurt Friedrichs Hans Lewy Franz Rellich Known for: Courant number Courant minimax principle Courant–Friedrichs–Lewy condition Biography: Courant was born in Lublinitz in the German Empire's Prussian Province of Silesia. During his youth, his parents had to move quite often, to Glatz, Breslau, and in 1905 to Berlin. He stayed in Breslau and entered the university there. As he found the courses not demanding enough, he continued his studies in Zürich and Göttingen. Courant eventually became David Hilbert's assistant in Göttingen and obtained his doctorate there in 1910. He had to fight in World War I, but he was wounded and dismissed from the military service shortly after enlisting. After the war, in 1919, he married Nerina (Nina) Runge, a daughter of the Göttingen professor for Applied Mathematics, Carl Runge. Richard continued his research in Göttingen, with a two-year period as professor in Münster. There he founded the Mathematical Institute, which he headed as director from 1928 until 1933. Courant left Germany in 1933, earlier than many of his colleagues. While he was classified as a Jew by the Nazis, his having served as a front-line soldier exempted him from losing his position for this particular reason at the time; however, his public membership in the social-democratic left was a reason for dismissal to which no such exemption applied.[1] After one year in Cambridge, Courant went to New York City where he became a professor at New York University in 1936. -
Society Reports USNC/TAM
Appendix J 2008 Society Reports USNC/TAM Table of Contents J.1 AAM: Ravi-Chandar.............................................................................................. 1 J.2 AIAA: Chen............................................................................................................. 2 J.3 AIChE: Higdon ....................................................................................................... 3 J.4 AMS: Kinderlehrer................................................................................................. 5 J.5 APS: Foss................................................................................................................. 5 J.6 ASA: Norris............................................................................................................. 6 J.7 ASCE: Iwan............................................................................................................. 7 J.8 ASME: Kyriakides.................................................................................................. 8 J.9 ASTM: Chona ......................................................................................................... 9 J.10 SEM: Shukla ....................................................................................................... 11 J.11 SES: Jasiuk.......................................................................................................... 13 J.12 SIAM: Healey...................................................................................................... 14 J.13 SNAME: Karr.................................................................................................... -
De Analysi Per Aequationes Numero Terminorum Infinitas 1669 (Published 1711) After 1696, Master of the Mint
Nick Trefethen Oxford Computing Lab Who invented the great numerical algorithms? Slides available at my web site: www.comlab.ox.ac.uk/nick.trefethen A discussion over coffee. Ivory tower or coal face? SOME MAJOR DEVELOPMENTS IN SCIENTIFIC COMPUTING (29 of them) Before 1940 Newton's method least-squares fitting orthogonal linear algebra Gaussian elimination QR algorithm Gauss quadrature Fast Fourier Transform Adams formulae quasi-Newton iterations Runge-Kutta formulae finite differences 1970-2000 preconditioning 1940-1970 spectral methods floating-point arithmetic MATLAB splines multigrid methods Monte Carlo methods IEEE arithmetic simplex algorithm nonsymmetric Krylov iterations conjugate gradients & Lanczos interior point methods Fortran fast multipole methods stiff ODE solvers wavelets finite elements automatic differentiation Before 1940 Newton’s Method for nonlinear eqs. Heron, al-Tusi 12c, Al Kashi 15c, Viète 1600, Briggs 1633… Isaac Newton 1642-1727 Mathematician and physicist Trinity College, Cambridge, 1661-1696 (BA 1665, Fellow 1667, Lucasian Professor of Mathematics 1669) De analysi per aequationes numero terminorum infinitas 1669 (published 1711) After 1696, Master of the Mint Joseph Raphson 1648-1715 Mathematician at Jesus College, Cambridge Analysis Aequationum universalis 1690 Raphson’s formulation was better than Newton’s (“plus simple” - Lagrange 1798) FRS 1691, M.A. 1692 Supporter of Newton in the calculus wars—History of Fluxions, 1715 Thomas Simpson 1710-1761 1740: Essays on Several Curious and Useful Subjects… 1743-1761: -
Council Congratulates Exxon Education Foundation
from.qxp 4/27/98 3:17 PM Page 1315 From the AMS ics. The Exxon Education Foundation funds programs in mathematics education, elementary and secondary school improvement, undergraduate general education, and un- dergraduate developmental education. —Timothy Goggins, AMS Development Officer AMS Task Force Receives Two Grants The AMS recently received two new grants in support of its Task Force on Excellence in Mathematical Scholarship. The Task Force is carrying out a program of focus groups, site visits, and information gathering aimed at developing (left to right) Edward Ahnert, president of the Exxon ways for mathematical sciences departments in doctoral Education Foundation, AMS President Cathleen institutions to work more effectively. With an initial grant Morawetz, and Robert Witte, senior program officer for of $50,000 from the Exxon Education Foundation, the Task Exxon. Force began its work by organizing a number of focus groups. The AMS has now received a second grant of Council Congratulates Exxon $50,000 from the Exxon Education Foundation, as well as a grant of $165,000 from the National Science Foundation. Education Foundation For further information about the work of the Task Force, see “Building Excellence in Doctoral Mathematics De- At the Summer Mathfest in Burlington in August, the AMS partments”, Notices, November/December 1995, pages Council passed a resolution congratulating the Exxon Ed- 1170–1171. ucation Foundation on its fortieth anniversary. AMS Pres- ident Cathleen Morawetz presented the resolution during —Timothy Goggins, AMS Development Officer the awards banquet to Edward Ahnert, president of the Exxon Education Foundation, and to Robert Witte, senior program officer with Exxon. -
Curriculum Vitae
Umberto Mosco WPI Harold J. Gay Professor of Mathematics May 18, 2021 Department of Mathematical Sciences Phone: (508) 831-5074, Worcester Polytechnic Institute Fax: (508) 831-5824, Worcester, MA 01609 Email: [email protected] Curriculum Vitae Current position: Harold J. Gay Professor of Mathematics, Worcester Polytechnic Institute, Worcester MA, U.S.A. Languages: English, French, German, Italian (mother language) Specialization: Applied Mathematics Research Interests:: Fractal and Partial Differential Equations, Homog- enization, Finite Elements Methods, Stochastic Optimal Control, Variational Inequalities, Potential Theory, Convex Analysis, Functional Convergence. Twelve Most Relevant Research Articles 1. Time, Space, Similarity. Chapter of the book "New Trends in Differential Equations, Control Theory and Optimization, pp. 261-276, WSPC-World Scientific Publishing Company, Hackenseck, NJ, 2016. 2. Layered fractal fibers and potentials (with M.A.Vivaldi). J. Math. Pures Appl. 103 (2015) pp. 1198-1227. (Received 10.21.2013, Available online 11.4.2014). 3. Vanishing viscosity for fractal sets (with M.A.Vivaldi). Discrete and Con- tinuous Dynamical Systems - Special Volume dedicated to Louis Niren- berg, 28, N. 3, (2010) pp. 1207-1235. 4. Fractal reinforcement of elastic membranes (with M.A.Vivaldi). Arch. Rational Mech. Anal. 194, (2009) pp. 49-74. 5. Gauged Sobolev Inequalities. Applicable Analysis, 86, no. 3 (2007), 367- 402. 6. Invariant field metrics and dynamic scaling on fractals. Phys. Rev. Let- ters, 79, no. 21, Nov. (1997), pp. 4067-4070. 7. Variational fractals. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997) No. 3-4, pp. 683-712. 8. A Saint-Venant type principle for Dirichlet forms on discontinuous media (with M.