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Author : Howard W. Eves
Publisher : American Mathematical Soc.
Page : 145 pages
File Size : 51,5 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457402
Author : Howard W. Eves
Publisher : Mathematical Association of America
Page : 316 pages
File Size : 41,5 Mb
Release : 2004-06-24
Category : Mathematics
ISBN : 0883855429
For many years, famed mathematics historian and master teacher Howard Eves collected stories and anecdotes about mathematics and mathematicians, gathering them together in six Mathematical Circles books. Thousands of teachers of mathematics have read these stories and anecdotes for their own enjoyment and used them in the classroom - to add entertainment, to introduce a human element, to inspire the student, and to forge some links of cultural history. All six of the Mathematical Circles books have been reissued as a three-volume edition. This three-volume set is a must for all who enjoy the mathematical enterprise, especially those who appreciate the human and cultural aspects of mathematics.
Author : David F. Hayes,Tatiana Shubin
Publisher : American Mathematical Soc.
Page : 291 pages
File Size : 51,8 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457419
Author : Martin Gardner
Publisher : MAA
Page : 386 pages
File Size : 43,5 Mb
Release : 2006-12-14
Category : Games & Activities
ISBN : 0883855518
Previously published separately, the two books aha! Gotcha and aha! Insight are here combined as a single volume. The aha! books, as they are referred to by fans of Martin Gardner, contain 144 wonderful puzzles from the reigning king of recreational mathematics. In this combined volume, you will find puzzles ranging over geometry, logic, probability, statistics, number, time, combinatorics, and word play. Gardner calls these puzzles aha! problems, that 'seem difficult, and indeed are difficult if you go about trying to solve them in traditional ways. But if you can free your mind from standard problem solving techniques, you may be receptive to an aha! reaction that leads immediately to a solution. Don't be discouraged if, at first, you have difficulty with these problems. After a while you will begin to catch the spirit of offbeat, nonlinear thinking, and you may be surprised to find your aha! ability improving.'
Author : C. Edward Sandifer
Publisher : American Mathematical Soc.
Page : 391 pages
File Size : 48,7 Mb
Release : 2020-07-14
Category : Education
ISBN : 9781470451806
The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler's greatest work, the Konigsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.
Author : Edward J. Barbeau,Edward Barbeau,Murray S. Klamkin,W. O. J. Moser
Publisher : MAA
Page : 244 pages
File Size : 45,9 Mb
Release : 1995
Category : Mathematics
ISBN : 0883855194
Contains 500 problems ranging over a wide spectrum of mathematics and of levels of difficulty.
Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : American Mathematical Society
Page : 399 pages
File Size : 46,9 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781470470036
Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
Author : Amy Dahan-Dalmedico,Jeanne Pieffer
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 42,9 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457464
Author : Tatiana Shubin,David F. Hayes,Gerald L. Alexanderson
Publisher : MAA
Page : 328 pages
File Size : 50,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9780883855713
This book is the second volume based on lectures for pre-college students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). This book reflects the flavor of the BAMA lectures and the excitement they have generated among the high school and middle school students in the Silicon Valley. The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning. In addition, the treatments given here will intrigue and enchant a more mature mathematician. It is hoped that the publication of these lectures will expose students outside of the San Francisco Bay Area to interesting mathematical topics and treatments outside of their normal experience in the classroom. Mathematical educators are encouraged to offer the students in their own localities similar opportunities to come into contact with exciting adventures in mathematics.
Author : Martin Erickson
Publisher : MAA
Page : 193 pages
File Size : 55,7 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9780883855768
Mathematical ideas with aesthetic appeal for any mathematically minded person.
Author : Steve Batterson
Publisher : The Mathematical Association of America
Page : 244 pages
File Size : 41,5 Mb
Release : 2017-06-29
Category : Mathematics
ISBN : 9780883855904
At the turn of the twentieth century, mathematical scholarship in the United States underwent a stunning transformation. In 1890 no American professor was producing mathematical research worthy of international attention. Graduate students were then advised to pursue their studies abroad. By the start of World War I the standing of American mathematics had radically changed. George David Birkhoff, Leonard Dickson, and others were turning out cutting edge investigations that attracted notice in the intellectual centers of Europe. Harvard, Chicago, and Princeton maintained graduate programs comparable to those overseas. This book explores the people, timing, and factors behind this rapid advance. Through the mid-nineteenth century most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study. The breakthrough for mathematics began in 1890 with the hiring, in consecutive years, of William F. Osgood and Maxime Bôcher at Harvard and E. H. Moore at Chicago. Each of these young men had studied in Germany where they acquired vital mathematical knowledge and taste. Over the next few years Osgood, Bôcher, and Moore established their own research programs and introduced new graduate courses. Working with other like-minded individuals through the nascent American Mathematical Society, the infrastructure of meetings and journals were created. In the early twentieth century Princeton dramatically upgraded its faculty to give the United States the stability of a third mathematics center. The publication by Birkhoff, in 1913, of the solution to a famous conjecture served notice that American mathematics had earned consideration with the European powers of Germany, France, Italy, England, and Russia.
Author : Judith V. Grabiner
Publisher : MAA
Page : 307 pages
File Size : 50,9 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780883855720
An inspiring collection of a historian's work on the history of mathematics.
Author : Steven G. Krantz
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 40,7 Mb
Release : 2019-11-25
Category : Mathematics
ISBN : 9781470451721
A companion to Mathematical Apocrypha (published in 2002) this second volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians is sure to please. It differs from other books of its type in that many of the stories are from the twentieth century and many about currently living mathematicians. A number of the best stories come from the author's first-hand experience. The writing is lively, engaging, and informative. There are stories the reader may wish to share with students and colleagues, friends, and relatives. The purpose of the book is to explore and to celebrate the many facets of mathematical life. The stories reveal mathematicians as intense, human, and sympathetic. They should resonate with readers everywhere. This book will appeal to students from high school through graduate school, to faculty and mathematical scientists of all stripes, and also to physicists, engineer, and anyone interested in mathematics.
Author : William Dunham
Publisher : American Mathematical Soc.
Page : 326 pages
File Size : 53,8 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457440
Author : C. Edward Sandifer
Publisher : The Mathematical Association of America
Page : 254 pages
File Size : 54,8 Mb
Release : 2014-11-19
Category : Mathematics
ISBN : 9780883855843
Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.