Reuben Hersh Peter Lax, Mathematician an Illustrated Memoir
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R Mathematics Esearch Eports
Mathematics r research reports M r Boris Hasselblatt, Svetlana Katok, Michele Benzi, Dmitry Burago, Alessandra Celletti, Tobias Holck Colding, Brian Conrey, Josselin Garnier, Timothy Gowers, Robert Griess, Linus Kramer, Barry Mazur, Walter Neumann, Alexander Olshanskii, Christopher Sogge, Benjamin Sudakov, Hugh Woodin, Yuri Zarhin, Tamar Ziegler Editorial Volume 1 (2020), p. 1-3. <http://mrr.centre-mersenne.org/item/MRR_2020__1__1_0> © The journal and the authors, 2020. Some rights reserved. This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/ Mathematics Research Reports is member of the Centre Mersenne for Open Scientific Publishing www.centre-mersenne.org Mathema tics research reports Volume 1 (2020), 1–3 Editorial This is the inaugural volume of Mathematics Research Reports, a journal owned by mathematicians, and dedicated to the principles of fair open access and academic self- determination. Articles in Mathematics Research Reports are freely available for a world-wide audi- ence, with no author publication charges (diamond open access) but high production value, thanks to financial support from the Anatole Katok Center for Dynamical Sys- tems and Geometry at the Pennsylvania State University and to the infrastructure of the Centre Mersenne. The articles in MRR are research announcements of significant ad- vances in all branches of mathematics, short complete papers of original research (up to about 15 journal pages), and review articles (up to about 30 journal pages). They communicate their contents to a broad mathematical audience and should meet high standards for mathematical content and clarity. The entire Editorial Board approves the acceptance of any paper for publication, and appointments to the board are made by the board itself. -
Your Itinerary
Discover the Baltics and Russia Your itinerary Start Location Visited Location Plane End Location Cruise Train Over night Ferry Day 1 Bohemian Quarter with its colourful wooden buildings. Arrive Warsaw (2 Nights) Included Meals - Breakfast Tucked away, but not forgotten, the Baltics stand at the edge of Europe revived and Day 9 reinvigorated after years of Nazi and Soviet occupation. Storybook capitals and stunning natural landscapes lie ahead, but first Poland's capital gets the nod as your Tallinn – St. Petersburg (4 Nights) launchpad to a region that has emerged vibrant despite its tragic history. Meet your Head east to the town of Narva, dominated by the mighty Hermannsburg Fortress, Travel Director and fellow travellers, then enjoy dinner together. where we cross the River Narva, which forms the Russian border. Then, it's on to St. Petersburg, founded by Peter the Great. This port city is Russia's cultural centre Holiday Inn Express Hub Hotel - and with its worldfamous opera, ballet and art museums, it offers a fascinating look into Russia's past. Included Meals - Dinner Day 2 Hotel - Park Inn by Radisson Pribaltiyskaya Warsaw sightseeing and free time Included Meals - Breakfast, Dinner A lesson in courage and perseverance awaits this morning as you join a Local Day 10 Specialist to visit Warsaw's Old Town. Its façades are more modern than medieval and a testament to the resilience of the Poles who have lovingly restored their St. Petersburg sightseeing and free time capital city after it was razed to the ground in retaliation for the 1944 Warsaw The tales of Romanov royalty come to life as you join a Local Specialist for an Uprising. -
History of Mathematics in Mathematics Education. Recent Developments Kathy Clark, Tinne Kjeldsen, Sebastian Schorcht, Constantinos Tzanakis, Xiaoqin Wang
History of mathematics in mathematics education. Recent developments Kathy Clark, Tinne Kjeldsen, Sebastian Schorcht, Constantinos Tzanakis, Xiaoqin Wang To cite this version: Kathy Clark, Tinne Kjeldsen, Sebastian Schorcht, Constantinos Tzanakis, Xiaoqin Wang. History of mathematics in mathematics education. Recent developments. History and Pedagogy of Mathematics, Jul 2016, Montpellier, France. hal-01349230 HAL Id: hal-01349230 https://hal.archives-ouvertes.fr/hal-01349230 Submitted on 27 Jul 2016 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. HISTORY OF MATHEMATICS IN MATHEMATICS EDUCATION Recent developments Kathleen CLARK, Tinne Hoff KJELDSEN, Sebastian SCHORCHT, Constantinos TZANAKIS, Xiaoqin WANG School of Teacher Education, Florida State University, Tallahassee, FL 32306-4459, USA [email protected] Department of Mathematical Sciences, University of Copenhagen, Denmark [email protected] Justus Liebig University Giessen, Germany [email protected] Department of Education, University of Crete, Rethymnon 74100, Greece [email protected] Department of Mathematics, East China Normal University, China [email protected] ABSTRACT This is a survey on the recent developments (since 2000) concerning research on the relations between History and Pedagogy of Mathematics (the HPM domain). Section 1 explains the rationale of the study and formulates the key issues. -
Nominations for President
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society September 2013 Volume 60, Number 8 The Calculus Concept Inventory— Measurement of the Effect of Teaching Methodology in Mathematics page 1018 DML-CZ: The Experience of a Medium- Sized Digital Mathematics Library page 1028 Fingerprint Databases for Theorems page 1034 A History of the Arf-Kervaire Invariant Problem page 1040 About the cover: 63 years since ENIAC broke the ice (see page 1113) Solve the differential equation. Solve the differential equation. t ln t dr + r = 7tet dt t ln t dr + r = 7tet dt 7et + C r = 7et + C ln t ✓r = ln t ✓ WHO HAS THE #1 HOMEWORK SYSTEM FOR CALCULUS? THE ANSWER IS IN THE QUESTIONS. When it comes to online calculus, you need a solution that can grade the toughest open-ended questions. And for that there is one answer: WebAssign. WebAssign’s patent pending grading engine can recognize multiple correct answers to the same complex question. Competitive systems, on the other hand, are forced to use multiple choice answers because, well they have no choice. And speaking of choice, only WebAssign supports every major textbook from every major publisher. With new interactive tutorials and videos offered to every student, it’s not hard to see why WebAssign is the perfect answer to your online homework needs. It’s all part of the WebAssign commitment to excellence in education. Learn all about it now at webassign.net/math. 800.955.8275 webassign.net/math WA Calculus Question ad Notices.indd 1 11/29/12 1:06 PM Notices 1051 of the American Mathematical Society September 2013 Communications 1048 WHAT IS…the p-adic Mandelbrot Set? Joseph H. -
Hyberbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves CBMS-NSF REGIONAL CONFERENCE SERIES in APPLIED MATHEMATICS
Hyberbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS A series of lectures on topics of current research interest in applied mathematics under the direction of the Conference Board of the Mathematical Sciences, supported by the National Science Foundation and published by SIAM. GARRETT BIRKHOFF, The Numerical Solution of Elliptic Equations D. V. LINDLEY, Bayesian Statistics, A Review R. S. VARGA, Functional Analysis and Approximation Theory in Numerical Analysis R. R. BAHADUR, Some Limit Theorems in Statistics PATRICK BILLINGSLEY, Weak Convergence of Measures: Applications in Probability J. L. LIONS, Some Aspects of the Optimal Control of Distributed Parameter Systems ROGER PENROSE, Techniques of Differential Topology in Relativity HERMAN CHERNOFF, Sequential Analysis and Optimal Design J. DURBIN, Distribution Theory for Tests Based on the Sample Distribution Function SOL I. RUBINOW, Mathematical Problems in the Biological Sciences P. D. LAX, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves I. J. SCHOENBERG, Cardinal Spline Interpolation IVAN SINGER, The Theory of Best Approximation and Functional Analysis WERNER C. RHEINBOLDT, Methods of Solving Systems of Nonlinear Equations HANS F. WEINBERGER, Variational Methods for Eigenvalue Approximation R. TYRRELL ROCKAFELLAR, Conjugate Duality and Optimization SIR JAMES LIGHTHILL, Mathematical Biofluiddynamics GERARD SALTON, Theory of Indexing CATHLEEN S. MORAWETZ, Notes on Time Decay and Scattering for Some Hyperbolic Problems F. HOPPENSTEADT, Mathematical Theories of Populations: Demographics, Genetics and Epidemics RICHARD ASKEY, Orthogonal Polynomials and Special Functions L. E. PAYNE, Improperly Posed Problems in Partial Differential Equations S. ROSEN, Lectures on the Measurement and Evaluation of the Performance of Computing Systems HERBERT B. -
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. -
Souhrnný Rejstřík Za Léta 1986–2000
Pokroky matematiky, fyziky a astronomie Souhrnný rejstřík PMFA za léta 1986–2000 Pokroky matematiky, fyziky a astronomie, Vol. 45 (2000), No. 4, 313--352 Persistent URL: http://dml.cz/dmlcz/141055 Terms of use: © Jednota českých matematiků a fyziků, 2000 Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz Souhrnný rejstřík PMFA za léta 1986–2000 Obsah Matematika a informatika ..................................................... 313 Fyzika ........................................................................ 318 Astronomie ................................................................... 322 Diskuse ....................................................................... 322 Vyučování .................................................................... 323 Jubilea českých a slovenských matematiků a fyziků ............................ 325 Nekrology .................................................................... 329 Ze života JČMF, JSMF a JČSMF ............................................. 330 Zprávy ....................................................................... 335 Různé ........................................................................ 340 Rejstřík českých a slovenských -
Perspective the PNAS Way Back Then
Proc. Natl. Acad. Sci. USA Vol. 94, pp. 5983–5985, June 1997 Perspective The PNAS way back then Saunders Mac Lane, Chairman Proceedings Editorial Board, 1960–1968 Department of Mathematics, University of Chicago, Chicago, IL 60637 Contributed by Saunders Mac Lane, March 27, 1997 This essay is to describe my experience with the Proceedings of ings. Bronk knew that the Proceedings then carried lots of math. the National Academy of Sciences up until 1970. Mathemati- The Council met. Detlev was not a man to put off till to cians and other scientists who were National Academy of tomorrow what might be done today. So he looked about the Science (NAS) members encouraged younger colleagues by table in that splendid Board Room, spotted the only mathe- communicating their research announcements to the Proceed- matician there, and proposed to the Council that I be made ings. For example, I can perhaps cite my own experiences. S. Chairman of the Editorial Board. Then and now the Council Eilenberg and I benefited as follows (communicated, I think, did not often disagree with the President. Probably nobody by M. H. Stone): ‘‘Natural isomorphisms in group theory’’ then knew that I had been on the editorial board of the (1942) Proc. Natl. Acad. Sci. USA 28, 537–543; and “Relations Transactions, then the flagship journal of the American Math- between homology and homotopy groups” (1943) Proc. Natl. ematical Society. Acad. Sci. USA 29, 155–158. Soon after this, the Treasurer of the Academy, concerned The second of these papers was the first introduction of a about costs, requested the introduction of page charges for geometrical object topologists now call an “Eilenberg–Mac papers published in the Proceedings. -
Connecticut Student Writers
Connecticut Student Writers Excerpt from “The Seven Deadly Sins” Anne Whitehead, Grade 11 Rockville High School i Volume XXI May 2009 ii Connecticut Student Writers A publication sponsored by the iii Selection Committee Evangeline Abbott Donna Ozga Brina Abrahams Joanne Peluso Kelly Andrews‐Babcock Kim Roberts Fran Cohen Alex Rode Tulani Gant Marcia Rudge Lisa Higgins Jenny Shaff Jepsen Cathy Holdridge Kathy Uschmann Nadine Keane This publication was produced by the Connecticut Writing Project‐Storrs. Director Jason Courtmanche, Ph.D. Program Assistant Graduate Assistant/Layout Sharlene Smith Amanda Friedman Department of English 215 Glenbrook Road Unit 4025A University of Connecticut Storrs, CT 06269‐4025 (860) 486‐2328 (860) 486‐9360 fax [email protected] http://www.cwp.uconn.edu 1 FOREWORD As is implied by the cover of this year’s Connecticut Student Writers, pride in excess can be sinful, but pride in moderation is nothing more than the pleasure and satisfaction that come from diligent and superior work. The teachers of the Connecticut Writing Project are exceedingly proud to present the 21st volume of Connecticut Student Writers. The pages of this year’s magazine emanate pride. Over 1,000 Connecticut students, grades kindergarten through twelve, took such pride in their writing that they submitted hundreds of stories, poems, essays, and plays for publication. The 78 pieces selected for publication reflect our students’ strong sense of pride in their imaginations, their writing, and themselves. The Connecticut Writing Project‐Storrs congratulates the young writers whose work is published in the 2009 Connecticut Student Writers. Furthermore, we would like to thank the writers’ parents and teachers for their proud support and encouragement. -
Oral Presentation
Oral Presentation A LOOK AT OTTO TOEPLITZ’S (1927) “THE PROBLEM OF UNIVERSITY INFINITESIMAL CALCULUS COURSES AND THEIR DEMARCATION FROM INFINITESIMAL CALCULUS IN HIGH SCHOOLS”1 Michael N. Frieda & Hans Niels Jahnkeb aBen Gurion University of the Negev, bUniversität Duisburg-Essen This paper discusses Otto Toeplitz’s 1927 paper “The problem of university infinitesimal calculus courses and their demarcation from infinitesimal calculus in high schools.” The “genetic approach” presented in Toeplitz’s paper is still of interest to mathematics educators who wish to use the history of mathematics in their teaching, for it suggests a rationale for studying history that does not trivialize history of mathematics and shows how history of mathematics can supply not only content for mathematics teaching but also, as Toeplitz is at pains to emphasize, a guide for examining pedagogical problems. At the same time, as we shall discuss in our paper, an attentive reading of Toeplitz’s paper brings out tensions and assumptions about mathematics, history of mathematics and historiography. TOEPLITZ’S LIFE IN MATHEMATICS, HISTORY OF MATHEMATICS, AND MATHEMATICS TEACHING Before starting our examination of the paper which is our focus in this paper, we ought to have some sense of who its author, Otto Toeplitz, was as an intellectual and educational figure. Toeplitz was born in Breslau, Germany (now, Wrocław, Poland) in 1881 and died in Jerusalem in 1940. His doctoral dissertation, Über Systeme von Formen, deren Funktionaldeterminante identisch verschwindet (On Systems of Forms whose Functional Determinant Vanishes Identically) was written under the direction of Jacob Rosanes and Friedrich Otto Rudolf Sturm at the University of Breslau in 1905. -
Program of the Sessions San Diego, California, January 9–12, 2013
Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes. -
Interview with Martin Gardner Page 602
ISSN 0002-9920 of the American Mathematical Society june/july 2005 Volume 52, Number 6 Interview with Martin Gardner page 602 On the Notices Publication of Krieger's Translation of Weil' s 1940 Letter page 612 Taichung, Taiwan Meeting page 699 ., ' Martin Gardner (see page 611) AMERICAN MATHEMATICAL SOCIETY A Mathematical Gift, I, II, Ill The interplay between topology, functions, geometry, and algebra Shigeyuki Morita, Tokyo Institute of Technology, Japan, Koji Shiga, Yokohama, Japan, Toshikazu Sunada, Tohoku University, Sendai, Japan and Kenji Ueno, Kyoto University, Japan This three-volume set succinctly addresses the interplay between topology, functions, geometry, and algebra. Bringing the beauty and fun of mathematics to the classroom, the authors offer serious mathematics in an engaging style. Included are exercises and many figures illustrating the main concepts. It is suitable for advanced high-school students, graduate students, and researchers. The three-volume set includes A Mathematical Gift, I, II, and III. For a complete description, go to www.ams.org/bookstore-getitem/item=mawrld-gset Mathematical World, Volume 19; 2005; 136 pages; Softcover; ISBN 0-8218-3282-4; List US$29;AII AMS members US$23; Order code MAWRLD/19 Mathematical World, Volume 20; 2005; 128 pages; Softcover; ISBN 0-8218-3283-2; List US$29;AII AMS members US$23; Order code MAWRLD/20 Mathematical World, Volume 23; 2005; approximately 128 pages; Softcover; ISBN 0-8218-3284-0; List US$29;AII AMS members US$23; Order code MAWRLD/23 Set: Mathematical World, Volumes 19, 20, and 23; 2005; Softcover; ISBN 0-8218-3859-8; List US$75;AII AMS members US$60; Order code MAWRLD-GSET Also available as individual volumes ..