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MAA AMC 8 Summary of Results and Awards
The Mathematical Association of America AMERICAN MatHEmatICS COMPETITIONS 2006 22nd Annual MAA AMC 8 Summary of Results and Awards Learning Mathematics Through Selective Problem Solving Examinations prepared by a subcommittee of the American Mathematics Competitions and administered by the office of the Director The American Mathematics Competitions are sponsored by The Mathematical Association of America and The Akamai Foundation Contributors: American Mathematical Association of Two Year Colleges American Mathematical Society American Society of Pension Actuaries American Statistical Association Art of Problem Solving Awesome Math Canada/USA Mathcamp Canada/USA Mathpath Casualty Actuarial Society Clay Mathematics Institute Institute for Operations Research and the Management Sciences L. G. Balfour Company Mu Alpha Theta National Assessment & Testing National Council of Teachers of Mathematics Pedagoguery Software Inc. Pi Mu Epsilon Society of Actuaries U.S.A. Math Talent Search W. H. Freeman and Company Wolfram Research Inc. TABLE OF CONTENTS 2006 IMO Team with their medals ................................................................... 2 Report of the Director ..........................................................................................3 I. Introduction .................................................................................................... 3 II. General Results ............................................................................................. 3 III. Statistical Analysis of Results ....................................................................... -
The Association for Women in Mathematics: How and Why It Was
Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted. -
Hilbert Constance Reid
Hilbert Constance Reid Hilbert c COPERNICUS AN IMPRINT OF SPRINGER-VERLAG © 1996 Springer Science+Business Media New York Originally published by Springer-Verlag New York, Inc in 1996 All rights reserved. No part ofthis publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Library ofCongress Cataloging·in-Publication Data Reid, Constance. Hilbert/Constance Reid. p. Ctn. Originally published: Berlin; New York: Springer-Verlag, 1970. Includes bibliographical references and index. ISBN 978-0-387-94674-0 ISBN 978-1-4612-0739-9 (eBook) DOI 10.1007/978-1-4612-0739-9 I. Hilbert, David, 1862-1943. 2. Mathematicians-Germany Biography. 1. Title. QA29.HsR4 1996 SIO'.92-dc20 [B] 96-33753 Manufactured in the United States of America. Printed on acid-free paper. 9 8 7 6 543 2 1 ISBN 978-0-387-94674-0 SPIN 10524543 Questions upon Rereading Hilbert By 1965 I had written several popular books, such as From liro to Infinity and A Long Way from Euclid, in which I had attempted to explain certain easily grasped, although often quite sophisticated, mathematical ideas for readers very much like myself-interested in mathematics but essentially untrained. At this point, with almost no mathematical training and never having done any bio graphical writing, I became determined to write the life of David Hilbert, whom many considered the profoundest mathematician of the early part of the 20th century. Now, thirty years later, rereading Hilbert, certain questions come to my mind. -
Constance Reid
Constance Reid John Ewing, former director of the American Mathematical Society, says this of Constance Reid: “ She has a special talent for understanding mathematicians and their culture. She understands us. She is the Boswell for mathematics – a biographer who has made the mathematical life understandable to the general public and to mathematicians themselves. Her work has enriched our profession.” The “autobiography” of her sister Julia Robinson has been a source of inspiration for many young women contemplating careers in mathematics, and her biography of David Hilbert stands as one of the best mathematical biographies ever written. It is no exaggeration to say that publication of Hilbert made her a star among mathematical biographers. Her five lively and penetrating biographies of mathematicians have been highly praised and constitute a great contribution to the world of mathematics. She has set a high standard for future biographers. We are proud that she was a member of our section. Although the formal mathematical education of Constance Reid concluded with high school algebra and geometry, she was able to understand mathematical ideas well enough to write three best - selling popularizations of mathematics: From Zero to Infinity (1955), Introduction to Higher Mathematics (1959), and A Long Way From Euclid (1963). Several mathematicians have commented on the influence of From Zero to Infinity on their development. Her writing ability was early demonstrated in her book Slacks and Calluses(1944), an account of her working for a summer on a bomber factory assembly line in World War II. At the time she was a high school English teacher in San Diego and only twenty - six. -
Women's History Magazine Broadly As Possible
Women’s History Magazine Issue 48, AUTUMN 2004 Issn 1476-6760 Themed Issue: Science, Technology and Education Maria Rentetzi on The Case of the Radium Dial Painters Claire Jones on Grace Chisholm Young in Turn-of-Nineteenth-Century Germany Joyce Goodman on Technical Education, Female Emigration and Nation Building Hull 2004 Conference Report Launch of new WHN Book Prize Clare Evans Prize — Report on 2004 Award and Hypatia Announcement of of Alexandria 2005 Competition c. 370 - 415 Conference 2005 — Mathematician philosopher, Call for Papers teacher and inventor of mechanical devices. th 14 Conference of the Women’s History Network Women, Art and Culture: Historical Perspectives September 2nd- 4th 2005, Southampton Southampton Institute, Sir James Matthews Conference Centre, Southampton, Hants. Papers are welcomed on the following themes: Women and the visual arts; painting, sculpture, architecture, and the decorative arts. Women and the Arts and Crafts Movement/Home Decorating. Women and the performing arts. Women and the literary arts. Women as art objects/images of women. Women as mediators of culture. Women as collectors and benefactors. Plenary Speakers: Frances Borzello on 'Women Artists: Self Portraits' Marina Vaizey on '20th Century Women Collectors' Speakers, papers and a provisional programme will be posted at www.womenshistorynetwork.org as soon as they become available. Papers will be considered for special issues of: Women’s History Magazine & Women’s History Review. Abstracts of 200-300 words should be sent by 30/03/05 to: Dr Anne Anderson, FMAS, Southampton Institute, Southampton, S014 ORF. [email protected] Administrator: Dr. Joyce A. Walker (Women’s History Network) , Department of History, University of Aberdeen, Crombie Annexe, Meston Walk, Old Aberdeen, AB24 3FX E-mail: [email protected] The arrival of this Autumn's Women's History Magazine broadly as possible. -
Constance Reid (1918–2010)
Remembering Constance Reid (1918–2010) Gerald L. Alexanderson Constance Reid will be remembered in mathemat- She was fond of telling at mathematics meet- ics for many years to come. She was not a math- ings of her experience when she approached her ematician, though she had close ties to important publisher with the proposal to write a biography mathematicians, but what she did for mathemat- of the most eminent early-twentieth-century math- ics may have more influence than the research of ematician, David Hilbert. His response was that the many professionals in the field. She would have a only thing that would sell worse than the biography place in history if she had done nothing more than of a mathematician would be a book about South write her biography of David Hilbert. America! But she persisted and found a publisher, Prior to Constance’s ap- Springer. It appeared in 1970 and was an instant pearing on the mathemati- classic, a book for the ages. Beautifully written cal scene, there was rather and carefully researched—she discovered Hilbert’s little to read in mathematics, papers in Göttingen uncatalogued in boxes at the at least in English, beyond Mathematical Institute, thus quite possibly saving textbooks and monographs. them from loss—her book was a sensation and re- Students wishing to learn sulted in many invitations to speak at regional and of the culture of mathemat- national meetings. Her earlier publisher probably ics or amateurs who loved came to regret his quick dismissal of Constance’s mathematics could go to proposal. Times have changed. -
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. -
JULIA ROBINSON and HILBERT's TENTH PROBLEM Diophantine
DIDACTICA MATHEMATICA, Vol. 34(2016), pp. 1{7 JULIA ROBINSON AND HILBERT'S TENTH PROBLEM Mira-Cristiana Anisiu Abstract. One of the solved Hilbert's problems stated in 1900 at the Interna- tional Congress of Mathematicians in Paris is: Given a Diophantine equation with any number of unknown quantities and with rational integral numerical coefficients: To devise a process according to which it can be determined in a finite number of operations whether the equation is solvable in rational integers. Julia Robinson (1919-1985) had a basic contribution to its negative solution, completed by Yuri Matijasevich. Her passion for Mathematics allowed her to become a professor at UC Berkeley and the first woman president of the Amer- ican Mathematical Society. She firmly encouraged all the women who have the ability and the desire to do mathematical research to fight and support each other in order to succeed. Dedicated to Anca C˘ap˘at¸^ın˘a,forced to retire in February 2016 (five years earlier than male researchers) and rewarded with the Spiru Haret Prize of the Romanian Academy in December of the same year. MSC 2000. 01-01, 01A60, 11U05 Key words. Diophantine equations, Hilbert tenth problem 1. DIOPHANTINE EQUATIONS Diophantine equations are named after the Greek mathematician Diophan- tus (200 AD - 284 AD), born in Alexandria, Egypt. In his Arithmetica, a treatise of several books, he studied about 200 equations in two or more vari- ables with the restriction that the solutions be rational numbers. The simplest Diophantine equations are the two-variable linear ones, which are of the form (1) ax + by = c; with a; b and c integers, and for which the variables x and y can only have integer values. -
FOCUS August/September 2005
FOCUS August/September 2005 FOCUS is published by the Mathematical Association of America in January, February, March, April, May/June, FOCUS August/September, October, November, and Volume 25 Issue 6 December. Editor: Fernando Gouvêa, Colby College; [email protected] Inside Managing Editor: Carol Baxter, MAA 4 Saunders Mac Lane, 1909-2005 [email protected] By John MacDonald Senior Writer: Harry Waldman, MAA [email protected] 5 Encountering Saunders Mac Lane By David Eisenbud Please address advertising inquiries to: Rebecca Hall [email protected] 8George B. Dantzig 1914–2005 President: Carl C. Cowen By Don Albers First Vice-President: Barbara T. Faires, 11 Convergence: Mathematics, History, and Teaching Second Vice-President: Jean Bee Chan, An Invitation and Call for Papers Secretary: Martha J. Siegel, Associate By Victor Katz Secretary: James J. Tattersall, Treasurer: John W. Kenelly 12 What I Learned From…Project NExT By Dave Perkins Executive Director: Tina H. Straley 14 The Preparation of Mathematics Teachers: A British View Part II Associate Executive Director and Director By Peter Ruane of Publications: Donald J. Albers FOCUS Editorial Board: Rob Bradley; J. 18 So You Want to be a Teacher Kevin Colligan; Sharon Cutler Ross; Joe By Jacqueline Brennon Giles Gallian; Jackie Giles; Maeve McCarthy; Colm 19 U.S.A. Mathematical Olympiad Winners Honored Mulcahy; Peter Renz; Annie Selden; Hortensia Soto-Johnson; Ravi Vakil. 20 Math Youth Days at the Ballpark Letters to the editor should be addressed to By Gene Abrams Fernando Gouvêa, Colby College, Dept. of 22 The Fundamental Theorem of ________________ Mathematics, Waterville, ME 04901, or by email to [email protected]. -
An Interview with Martin Davis
Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Geometry Ramanujan‘s Lost Notebook An Introduction to Mathematical of the American Mathematical Society Selected Topics in Plane and Solid Part II Cryptography May 2008 Volume 55, Number 5 Geometry G. E. Andrews, Penn State University, University J. Hoffstein, J. Pipher, J. Silverman, Brown J. Aarts, Delft University of Technology, Park, PA, USA; B. C. Berndt, University of Illinois University, Providence, RI, USA Mediamatics, The Netherlands at Urbana, IL, USA This self-contained introduction to modern This is a book on Euclidean geometry that covers The “lost notebook” contains considerable cryptography emphasizes the mathematics the standard material in a completely new way, material on mock theta functions—undoubtedly behind the theory of public key cryptosystems while also introducing a number of new topics emanating from the last year of Ramanujan’s life. and digital signature schemes. The book focuses Interview with Martin Davis that would be suitable as a junior-senior level It should be emphasized that the material on on these key topics while developing the undergraduate textbook. The author does not mock theta functions is perhaps Ramanujan’s mathematical tools needed for the construction page 560 begin in the traditional manner with abstract deepest work more than half of the material in and security analysis of diverse cryptosystems. geometric axioms. Instead, he assumes the real the book is on q- series, including mock theta Only basic linear algebra is required of the numbers, and begins his treatment by functions; the remaining part deals with theta reader; techniques from algebra, number theory, introducing such modern concepts as a metric function identities, modular equations, and probability are introduced and developed as space, vector space notation, and groups, and incomplete elliptic integrals of the first kind and required. -
JPBM Communications Award
JPBM Communications Award The 2010 Communications Award of the Joint the Riemann hypothesis, entitled The Music of the Policy Board for Mathematics (JPBM) was presented Primes, is a best seller which has been translated at the Joint Mathematics Meetings in San Francisco, into ten languages. In his 2008 book, Symmetry: California, in January 2010. A Journey into the Patterns of Nature, du Sautoy The JPBM Communications Award is presented guides the reader through groups and symmetry, annually to reward and encourage journalists from Babylonia to Moonshine theory, while at the and other communicators who, on a same time giving an engaging glimpse into math- sustained basis, bring mathematical ematicians’ minds. His four-part television series, ideas and information to nonmathe- The Story of Maths, presents a fascinating look at matical audiences. JPBM represents the the development of mathematics from the design American Mathematical Society, the of the pyramids in Egypt to Perelman’s proof of American Statistical Association, the Poincaré’s conjecture. Whether it is talking about Mathematical Association of America, Beckham’s choice of number on a sports radio pro- and the Society for Industrial and Ap- gram, explaining the work of the Abel prize winner plied Mathematics. The award carries on Norwegian television, writing a weekly math a cash prize of US$1,000. column for the London Times, hosting a television Previous recipients of the JPBM game show based on math puzzles, or delivering Communications Award are: James the Royal Institution Christmas Lectures, Marcus Gleick (1988), Hugh Whitemore (1990), du Sautoy invariably seizes opportunities to make Ivars Peterson (1991), Joel Schneider mathematics more accessible and more appealing. -
Evelyn Boyd Granville: Complex Solutions to Real-Life Problems
Women and Minorities in Mathematics Incorporating Their Mathematical Achievements Into School Classrooms Evelyn Boyd Granville: Complex Solutions to Real-Life Problems Sarah J. Greenwald Appalachian State University In 1949 Evelyn in mathematics faced the "double Boyd Granville whammy" of racism and sexism. became the second Like blacks, women were not black woman we considered to have the mental skills know of to earn a necessary for advanced Ph.D. in mathematical inquiry. For all mathematics. women, and especially for black Granville is well women, the field of mathematics was known for essentially shut tight. (The Journal of examining diverse Blacks in Higher Education, 2001) Evelyn Boyd Granville in 2001 and complex solutions to real-life problems - quite Martha Euphemia Lofton Haynes literally, as her doctoral work was in the In 1943 Martha Euphemia Lofton Haynes field of complex analysis, but this theme can (1890-1980) became the first black woman also be found in her approach to life and in we know of to her teaching philosophy. Over the course of conquer the race her career, she worked for NASA and others and sex barriers at in support of space missions, and then she the Ph.D. level in transitioned to college teaching, where she mathematics. She focused on the mathematics education of earned her Ph.D. future teachers. Today she continues to from Catholic speak as an advocate for mathematics. University and then Granville advises that: she had a Life is best lived when you try to distinguished career leave the world in better shape. Martha Euphemia Lofton in Washington, DC.