Harmony of the World: 75 Years of Mathematics Magazine (Spectrum) by Gerald L. Alexanderson (PDF)

Description

A collection of the best from Mathematics Magazine. Gems from past issues of Mathematics Magazine or the Monthly or the College Mathematics Journal are read with pleasure when they appear, but get pushed into the background when the next issues arrive. So from time to time it is rewarding to go back and see just what marvellous material has been published over the years. There is history of mathematics (algebraic, numbers, inequalities, probability, and the Lebesgue integral, quaternions, Pólya’s enumeration theorem, and group theory) and history of mathematicians (Hypatia, Gauss, E. T. Bell, Hamilton, and Euler). The list of authors is star-studded: E. T. Bell, Otto Neugebaur, D. H. Lehmer, Morris Kline, Einar Hille, Richard Bellman, Judith Grabiner, Paul Erdös, B. L. van der Waerden, Paul R. Halmos, Doris Schattschneider, J. J. Burckhardt, Branko Grübaum, and many more. Eight of the articles included have received the Carl L. Allendoerfer or Lester R. Ford Awards.

User’s Reviews

Editorial Reviews: Review A wonderful resource of information about the recent history of mathematics as well as some gems about how important advances in earlier mathematical history were made. –Mary Coupland, Australian Math TeacherIn all, this is an attractive, urbane, and inviting selection of mathematics, culture, and history, seen through one important journal’s lens. Editor Alexanderson is well qualified, having edited the Magazine himself in the lates 1980s. –Paul Zorn, Mathematical Reviews Book Description A collection of the best from Mathematics Magazine. There is history of mathematics (including algebraic, numbers, inequalities, probability, quaternions, and group theory) and history of mathematicians (Hypatia, Gauss, E. T. Bell, Hamilton, and Euler). This book features award-winning articles from a star-studded list of authors. From the Inside Flap Who would expect to find in the pages of Mathematics Magazine the first full treatment of one of the more important and oft-cited twentieth century theorems in analysis, the Stone-Weierstrass Theorem–––in an article by Marshall Stone himself? Where else would one look for proofs of trigonometric identities using commutative ring theory? Or one of the earliest and best expository articles on the then new Jones knot polynomials, an article that won the prestigious Chauvenet Prize? Or an amusing article purporting to show that the value of p has been time dependent over the years? These and much more are in this collection of the “best” from Mathematics Magazine.Readers are inundated with new material in the many mathematical journals. Gems from past issues of Mathematics Magazine or the Monthly or the College Mathematics Journal are read with pleasure when they appear but get pushed into the background when the next issues arrive. So from time to time it is rewarding to go back and see just what marvelous material has been published over many years, articles now to some extent forgotten. There is history of mathematics (algebraic numbers, inequalities, probability and the Lebesgue integral, quaternions, Pólya’s enumeration theorem, and group theory) and stories of mathematicians (Hypatia, Gauss, E. T. Bell, Hamilton, and Euler).The list of authors is star-studded: E. T. Bell, Otto Neugebauer, D. H. Lehmer, Morris Kline, Einar Hille, Richard Bellman, Judith Grabiner, Paul Erdös, B. L. van der Waerden, Paul R. Halmos, Doris Schattschneider, J. J. Burckhardt, Branko Grünbaum, and many more. Eight of the articles included have received the Carl B. Allendoerfer or Lester R. Ford Awards. About the Author Gerald L. Alexanderson is the Valeriote Professor of Science at Santa Clara University in California and former chair of the Department of Mathematics and Computer Science.Peter Ross is a Senior Lecturer in the Department of Mathematics and Computer Science at Santa Clara University, California. Read more

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