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What's Love Got to Do With
Aaron Brown What’s Love Got to Do With It? Edward Frenkel is writing a protracted Dear John letter to popular misconceptions about math and mathema- ticians… he great popular science and science fiction author Isaac Asimov told a story about a university committee meeting in which there was much laughter and joking about a student named “Milton” flunkingT English literature, but no one noticed when a student named “Gauss” was failing in mathematics. I wish I could find the reference to this, but I read it long ago in childhood, and some Internet searching proved fruitless. I may have the details wrong – especially the name of the student date are smaller than Asimov’s. They also have cians, and writers. With these people, screenwriters flunking English literature – but I remember the a different slant. Asimov tried to show every- often assume they must be tortured to be authentic. point. Asimov complained that a scientist would be one how mathematics and science could be fun. But there are plenty of exceptions – movies built thought a Philistine if he expressed no interest in Frenkel instead celebrates the passion and inten- around well-rounded, friendly, artistic genius- music or philosophy, but that an artist could boast sity of mathematics at the highest level. He has es. And, even when artists are a bit crazy, it is an about not knowing enough arithmetic to balance done this through lectures which are a sensation excess of passion, “agony and ecstasy,” not some his checkbook. on YouTube, an erotic film, and, most recently, a incomprehensible twisted obsession from another Edward Frenkel is one of the great mathema- book, Love and Math: The Heart of Hidden Reality. -
Popularising Mathematics
Popularising Mathematics Philipp Legner August 2013 Abstract Mathematics has countless applications in science, engineering and technology, yet school mathematics is one of the most unpopular subjects, perceived as difficult, boring and not useful in life. ‘Popularisation’ projects can help bridge this gap, by showing how exciting, applicable and beautiful mathematics is. Some popularisation projects focus on telling the wider public about mathematics, including its history, philosophy and applications; other projects encourage you to actively do mathematics and discover surprising relationships and beautiful results using mathematical reasoning and thinking. In this report I will develop a framework to classify and evaluate popularisation, and analyse a wide range of existing projects – ranging from competitions to websites, movies, exhibitions, books and workshops. I also reflect upon my personal experiences in designing popularisation activities. I would like to thank Professor Dave Pratt for his advise while writing this report. Table of Contents Introduction 1 Part 1: A Framework for Mathematics Popularisation The Value of Mathematics ........................................................................... 2 Defining Mathematics Popularisation ...................................................... 4 Designing Mathematics Popularisation ................................................... 8 Evaluating Popularisation Projects ............................................................ 11 Part 2: Case Studies of Popularisation Projects -
A Brief History of Numbers by Leo Corry
Reviews Osmo Pekonen, Editor A Brief History of Numbers by Leo Corry OXFORD: OXFORD UNIVERSITY PRESS, 2015, 336 PP., £24.99, ISBN: 9780198702597 REVIEWED BY JESPER LU¨TZEN he concept of number has an interesting and intriguing history and this is a highly recommendable TT book about it. When were irrational numbers (or negative numbers) introduced into mathematics? Such questions seem precise and simple, but they cannot be answered with a simple year. In fact, the years 2000 BC and AD 1872 and many years Feel like writing a review for The Mathematical in between could be a valid answer to the question about Intelligencer? Contact the column editor if you wish to irrational numbers, and many years between 1 and 1870 could be defended as an answer to the question about the submit an unsolicited review, or if you would welcome introduction of negative numbers. This is not just because modern mathematicians may consider pre-1870 notions of being assigned a book to review. numbers as nonrigorous but also because the historical actors were not in agreement about the nature and extent of the concept of number. Therefore the answer to the questions raised previously must necessarily be a long and contorted story. Many treatises and articles on the history of mathematics tell aspects of this story, and Corry’s book may be considered a synthesis of these more specialized works. Still, Corry also adds his own original viewpoints and results to the standard history. The last chapters of the book dealing with the modern foundations of the number system from the end of the 19th and the beginning of the 20th cen- turies obviously draw on Corry’s own research on the establishment of modern structural thinking that has con- tributed seminally to our understanding of the development of mathematics in this period. -
Mathematical Gems III
AMS / MAA DOLCIANI MATHEMATICAL EXPOSITIONS VOL 9 Mathematical Gems III Ross Honsberger MATHEMATICAL GEMS III By ROSS HONSBERGER THE DOLCIANI MATHEMATICAL EXPOSITIONS Published by THE MATHEMATICAL ASSOCIATION OF AMERICA COl1znzittee Oil Publicatiolls ALAN TUCKER, Chairman SUbC011111zittee 011 Dolciani Mathenzatical Expositions JOSEPH MALKEVITCH, Chairman D. MCCARTHY D. SMALL 10.1090/dol/009 The Do/ciani Mathell1atical Expositions NUMBER NINE MATHEMATICAL GEMS III By ROSS HONSBERGER University o.f Waterloo Published lind Distributed by THE MATHEMATICAL ASSOCIATION OF AMERICA @1985 by The Mathematical Association ofAmerica (Incorporated) Library of Congress Catalog Card Number 061842 Complete Set ISBN 0-88385-300-0 Vol. 9 ISBN 0-88385-318-3 Printed in the United States ofAmerica Current printing (last digit): 10 9 8 765 4 3 2 The DOLCIANI MATHEMATICAL EXPOSITIONS series of the Math ematical Association of America was established through a generous gift to the Association from Mary P. Dolciani, Professor ofMathematics at Hunter College of the City University of New York. In making the gift, Professor Dolciani, herself an exceptionally talented and successful expositor of mathematics, had the purpose of furthering the ideal of excellence in mathematical exposition. The Association, for its part, was delighted to accept the gracious gesture initiating the revolving fund for this series from one who has served the As sociation with distinction, both as a member of the Committee on Publications and as a member of the Board of Governors. It was with genuine pleasure that the Board chose to name the series in her honor. The books in the series are selected for their lucid expository style and stimulating mathematical content. -
A Wealth of Numbers Reviewed by Andy R
Book Review A Wealth of Numbers Reviewed by Andy R. Magid to do with the quality, or even correctness, of their A Wealth of Numbers mathematical content. For example, consider the Benjamin Wardhaugh Amazon Best Sellers rankings of the following: Princeton University Press, April 2012 Constance Reid’s excellent From Zero to Infinity is Hardcover, 388 pages, US$45.00 number 907,624, only slightly better than Marilyn ISBN-13: 978-0691147758 vos Savant’s execrable The World’s Most Famous Math Problem, number 966,319, while Lancelot When it comes to mathematical exposition, we Hogben’s venerable (first published in 1937) and mathematicians are diligent consumers. We buy valuable Mathematics for the Million substantially non-textbook monographs, read Notices articles, outranks both at 153,398. For further comparison, and attend departmental colloquia, generally inde- John Allen Paulos’s 1980s classic Innumeracy ranks pendent of whether the exposition is high quality 16,221 (all ranks observed 16 November 2012). This (Notices), mixed (monographs), or low (most collo- highly unrepresentative sample of mathematics quia). Perhaps we are motivated by the hope that books for the general reader currently available ideas and methods from other fields will inspire consists of books this reviewer happened to read, our work in our own specialty, or perhaps we either as a general reader himself before becoming feel the duty to be informed about the world of a mathematician or, for the later ones, out of research mathematics in general. In any event, we curiosity when the books became newsworthy devote time and effort to consuming mathematical (Paulos) or notorious (vos Savant). -
View This Volume's Front and Back Matter
AMS / MAA DOLCIANI MATHEMATICAL EXPOSITIONS VOL 18 Which Way Did the Bicycle Go? ... and Other Intriguing Mathematical Mysteries ©1996 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 95-81495 Print ISBN 978-0-88385-325-2 Electronic ISBN 978-1-61444-220-2 Printed in the United States of America Current printing (last digit): 10 9 8 7 6 5 4 3 2 1 DID 10.1090/dol/018 T~~ ICV(l~ O~ ....nHD OT-U.c.A IHT.AIGUIHG m.nr-u.cm.nTlc.nl mVSH.AI.cS Jm~p~ D.~.~D"~J1m~~ ~" ~Ul~mJl" ~J1" WJlGD" MATHEMATICAL ASSOCIATION OF AMERICA DOLCIANI MATHEMATICALEXPOSITIONS - NO.18 THE DOLCIANI MATHEMATICAL EXPOSITIONS Published by THE MATHEMATICAL ASSOCIATION OF AMERICA Committee on Publications JAMES W. DANIEL, Chair Dolciani Mathematical Expositions Editorial Board BRUCE P. PALKA, Editor CHRISTINE W. AYOUB EDWARD 1. BARBEAU IRL C. BIVENS The DOLCIANI MATHEMATICAL EXPOSITIONS series of the Mathematical Associ ation of America was established through a generous gift to the Association from Mary P. Dolciani, Professor of Mathematics at Hunter College ofthe City University of New York. In making the gift, Professor Dolciani, herselfan exceptionally talented and successful expositor of mathematics, had the purpose of furthering the ideal of excellence in mathematical exposition. The Association, for its part, was delighted to accept the gracious gesture initiating the revolving fund for this series from one who has served the Association with distinction, both as a member ofthe Committee on Publications and as a member of the Board of Governors. It was with genuine pleasure that the Board chose to name the series in her honor. -
Beautiful Geometry by Eli Maor and Eugen Jost
blogs.lse.ac.uk http://blogs.lse.ac.uk/lsereviewofbooks/2014/03/03/book-review-beautiful-geometry-by-eli-maor-and-eugen-jost/ Book Review: Beautiful Geometry by Eli Maor and Eugen Jost How do art and mathematics cross over? Beautiful Geometry is an attractively designed coffee table book that has 51 short chapters, each consisting of an essay by the mathematical historian Eli Maor on a single topic, together with a colour plate by the artist Eugen Jost.The book achieves its aim to demonstrate that there is visual beauty in mathematics, finds Konrad Swanepoel. It is heartily recommended to mathematics students who want to broaden their horizons and to teachers of mathematics at school level. Beautiful Geometry. Eli Maor and Eugen Jost. Princeton University Press. January 2014. Find this book: Geometry has a history that goes back at least 3000 years, and under the ancient Greeks achieved a scientific level which even today survives all but the most exacting logical scrutiny. Having always been synonymous with Mathematics, in the 20th century Geometry has simultaneously specialised into a myriad subfields (algebraic geometry, differential geometry, discrete geometry, convex geometry, etc.) while losing its all-encompassing grip on Mathematics. At universities we are eager to teach our students Calculus and Linear Algebra instead of a course on Classical Geometry, now deemed old- fashioned. This book reminds us of what we are missing. This attractively designed coffee table book has 51 short chapters, each consisting of an essay by the mathematical historian Eli Maor on a single topic, together with a colour plate (occasionally two) by the artist Eugen Jost. -
S0002-9904-1957-10132-3.Pdf
2 POPULAR MATHEMATICS TITLES PEIRCE, FOSTER Short Table of Integrals, 4th Edition Classic text which includes additional definite inte grals, further information on Bessel, and other transcen dental functions. Expanded numerical tables. TAYLOR Advanced Calculus Thorough treatment emphasizing concepts and basic principles of analysis—those properties of the real num ber system which support the theory of limits and con tinuity. HOME OFFICE: Boston GINN AND COMPANY SALES OFFICES: New York 11 Chicago 6 Atlanta 3 Dallas 1 Columbus 16 Palo Alto Toronto 7 Recent MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 22. R. S. PALAIS, A global formulation of the Lie theory of trans formation groups, 1957, iv, 123 pp. $2.20 23. D. G. DICKSON, Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients, 1957, 72 pp. 1.70 24. ISAAC NAMIOKA, Partially ordered linear topological spaces, 1957, 50 pp. 1.60 25. A. ERDÉLYI and C. A. SWANSON, Asymptotic forms of Whit- taker's confluent hypergeometric functions, 1957, 49 pp. 1.40 26. WALTER STRODT, Principal solution of ordinary differential equations in the complex domain, 1957, 107 pp. 2.00 25% discount to members AMERICAN MATHEMATICAL SOCIETY 190 Hope Street, Providence, Rhode Island License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use PhD MATHEMATICIANS Our Systems Analysis Department has openings for PhD Mathematicians who have a lasting interest in some fields of Mathematics such as Algebra, Geometry, Measure Theory, Topology, Differential Equations, Numerical Analysis, or Statistics. Association will be with others with similar educa tional background engaged in the study of challenging problems vital to the nation's welfare. -
Mathematics 2016
Mathematics 2016 press.princeton.edu Contents General Interest 1 New in Paperback 11 Biography 12 History & Philosophy of Science 13 Graduate & Undergraduate Textbooks 16 Mathematical Sciences 20 Princeton Series in Applied Mathematics 21 Annals of Mathematics Studies 22 Princeton Mathematical Series 24 Mathematical Notes 24 Cover image © Cameron Strathdee. Courtesy of iStock. Forthcoming Fashion, Faith, and Fantasy in the New Physics of the Universe Roger Penrose “This gem of a book is vintage Roger Penrose: eloquently argued and deeply original on every page. His perspective on the present crisis and future promise of physics and cosmology provides an important corrective to fashionable thinking at this crucial moment in science. This book deserves the widest possible hearing among specialists and the public alike.” —Lee Smolin, author of Time Reborn: From the Crisis in Physics to the Future of the Universe What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scienti c quest to understand the universe? Surely, theoreti- cal physicists are immune to mere trends, dogmatic beliefs, or ights of fancy? In fact, acclaimed physicist and bestselling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes pro- ductive and even essential in physics, may be leading today’s researchers astray in three of the eld’s most important areas—string theory, quan- tum mechanics, and cosmology. July 2016. 424 pages. 211 line illus. Cl: 978-0-691-11979-3 $29.95 | £19.95 New The Princeton Companion to Applied Mathematics Edited by Nicholas J. -
Mathematics 2014
Mathematics 2014 press.princeton.edu Contents General Interest 1 Princeton Puzzlers 9 Biography 10 History & Philosophy of Science 11 Princeton Graduate & Undergraduate Textbooks 14 Mathematical Sciences 18 Primers in Complex Systems 19 Princeton Series in Applied Mathematics 20 Annals of Mathematics Studies 21 Princeton Mathematical Series 23 Mathematical Notes 24 London Mathematical Society Monographs 24 Index | Order Form 25 Cover illustration by Marcella Engel Roberts New With a foreword by Persi Diaconis and an afterword by James Randi Undiluted Hocus-Pocus The Autobiography of Martin Gardner Martin Gardner “Informative, original, unexpected, and always charmingly written with his uniquely subtle sense of fun, this nal autobiographical work of Martin Gardner, Undiluted Hocus-Pocus, sums up his own life and opinions, in the way that has become so familiar and inspirational to us from his well-known writings on puzzles, mathematics, philosophy, and the oddities of the world.” —Roger Penrose, author of Cycles of Time: An Extraordinary New View of the Universe Martin Gardner wrote the Mathematical Games column for Scienti c “For half a century, Martin Gardner American for twenty- ve years and published more than seventy books (1914–2010) was an international on topics as diverse as magic, philosophy, religion, pseudoscience, and scienti c treasure. Gardner’s Alice in Wonderland. His informal, recreational approach to mathematics passion for writing and his warmth delighted countless readers and inspired many to pursue careers in and humour shine forth on every mathematics and the sciences. Gardner’s illuminating autobiography page of this book, making it a is a disarmingly candid self-portrait of the man evolutionary theorist memoir of a great human being.” Stephen Jay Gould called our “single brightest beacon” for the defense of —David Singmaster, Nature rationality and good science against mysticism and anti-intellectualism. -
An Anthology of 500 Years of Popular Mathematics Writing, by Benjamin Wardhaugh
Old Dominion University ODU Digital Commons Mathematics & Statistics Faculty Publications Mathematics & Statistics 2012 A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing, by Benjamin Wardhaugh. Princeton University Press: Princeton, 2012 (Book Review) John A. Adam Old Dominion University, [email protected] Follow this and additional works at: https://digitalcommons.odu.edu/mathstat_fac_pubs Part of the Other Mathematics Commons Repository Citation Adam, John A., "A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing, by Benjamin Wardhaugh. Princeton University Press: Princeton, 2012 (Book Review)" (2012). Mathematics & Statistics Faculty Publications. 158. https://digitalcommons.odu.edu/mathstat_fac_pubs/158 Original Publication Citation Adam, J. A. (2012). A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing, by Benjamin Wardhaugh. Princeton University Press: Princeton, 2012 (Book Review). American Journal of Physics, 80(8), 745-746. doi:10.1119/1.4729608 This Book Review is brought to you for free and open access by the Mathematics & Statistics at ODU Digital Commons. It has been accepted for inclusion in Mathematics & Statistics Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. In Chapter I I, the authors foresee econophysics "making name but a few. My particular favorite is: "I have seen a it possible to perform a scient!fkally rigorous reappraisal of sheep leap ji·om a bridge very high, into water, and swim the consequences of economic growth, and even whether out. Now, if a globe, whose weight is 112 pounds, and one rowth is desirable under all circumstances." On what is this foot in diameter, fall from an eminence ten yards high, how ~ope based? There is no substantial treatment of economic deep must the water be, just to destroy all the globe's veloc growth in the entire preceding ten chapters. -
Book Review Mathematical Delights by Ross Honsberger, Published By
Book review Mathematical Delights By Ross Honsberger, published by the Mathematical Association of America, 2004 ISBN 088385-334-5, softcover, x + 252 pages, US$????? Reviewed by Ed Barbeau, University of Toronto There was a time when Ross Honsberger of the University of Waterloo performed a mathematical concert at each annual meeting of the Ontario Association for Mathematics Education. Eager mathematics teachers would pack a large auditorium for a polished and witty exposition of about ten of Honsberger’s favourite problems and their solutions, selected for their elegance and capacity to surprise and delight. Those who show up at the annual marking bee for the Waterloo contests still can enjoy such a treat. These problems found their way into a succession of books published by the Mathe- matical Association of America. No fewer than eleven of the first twenty-eight volumes of the Dolciani Mathematical Exposition Series, including the inaugural four and this one, are from his hand. That is a lot of beautiful mathematics! While his earlier books consisted of longer essays on individual problems, this is a mis- cellaneous collection of problems from a variety of sources briefly treated. Demanding at most the background of a second-year undergraduate, the author aims to “put on display little gems that are to be found at the elementary level”. The first part of the book, Glean- ings, contains problems and solutions drawn from contests like the Putnam, journals like Mathematics Magazine and The College Mathematics Journal, and published collections of problems. The second part, Miscellaneous Topics, focuses on the work of particular cor- respondents (Liong-shin Hahn, Achilleas Sinefakopoulos and George Evagelopoulos) and problems from particular sources (New Mexico Mathematics Contest of 2002, and The Book of Prime Number Records by Paulo Ribenboim).