The Lighter Side Of Mathematics Proceedings Of The Eugene Strens Memorial Conference On Recreational Mathematics And Its History

Author : Richard K. Guy,Robert E. Woodrow
Publisher : American Mathematical Soc.
Page : 367 pages
File Size : 52,7 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457310

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The Lighter Side of Mathematics: Proceedings of the Eugene Strens Memorial Conference on Recreational Mathematics and Its History by Richard K. Guy,Robert E. Woodrow Pdf

In August of 1986, a special conference on recreational mathematics was held at the University of Calgary to celebrate the founding of the Strens Collection. Leading practitioners of recreational mathematics from around the world gathered in Calgary to share with each other the joy and spirit of play that is to be found in recreational mathematics. It would be difficult to find a better collection of wonderful articles on recreational mathematics by a more distinguished group of authors. If you are interested in tessellations, Escher, tilings, Rubik's cube, pentominoes, games, puzzles, the arbelos, Henry Dudeney, or change ringing, then this book is for you.

Author : C. Edward Sandifer
Publisher : American Mathematical Soc.
Page : 391 pages
File Size : 46,7 Mb
Release : 2020-07-14
Category : Education
ISBN : 9781470451806

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The Early Mathematics of Leonhard Euler by C. Edward Sandifer Pdf

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 : George F. Simmons
Publisher : American Mathematical Soc.
Page : 355 pages
File Size : 48,6 Mb
Release : 2020-03-17
Category : Education
ISBN : 9781470451288

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Calculus Gems: Brief Lives and Memorable Mathematics by George F. Simmons Pdf

Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ("Biographical Notes" and "Variety of Additional Topics") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, "What is mathematics for?" and in Simmons' answer, "To delight the mind and help us understand the world". The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, "Brief Lives", is a biographical history of mathematics from earliest times (Thales, 625–547 BC) through the late 19th century (Weierstrass, 1815–1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, "Memorable Mathematics", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.

Author : Martin Gardner
Publisher : American Mathematical Soc.
Page : 151 pages
File Size : 44,9 Mb
Release : 2020-04-06
Category : Education
ISBN : 9781470451783

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Mathematical Puzzle Tales by Martin Gardner Pdf

Martin Gardner is widely known for his writing on recreational mathematics, not least for the myriad problems he has devised over some 25 years for Scientific American. In this book are 36 of his best brainteasers. These are not simply cunning puzzles, but serve to illustrate the art of the mathematician as problem solver, and their solution draws on ideas from topology, probability, number theory, logic and beyond. Fully worked answers are given, which, in turn, lead to additional problems for the reader. For anybody who likes to solve mathematical problems, this book will be both entertaining and a challenge.

Author : Joseph D. E. Konhauser,Dan Velleman,Stan Wagon
Publisher : American Mathematical Soc.
Page : 235 pages
File Size : 53,5 Mb
Release : 1996-12-31
Category : Education
ISBN : 9781470463823

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Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries by Joseph D. E. Konhauser,Dan Velleman,Stan Wagon Pdf

MAA Press: An Imprint of the American Mathematical Society This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product 1⋅2⋅3⋯1,000,000 1⋅2⋅3⋯1,000,000? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.

Author : Liang-shin Hahn
Publisher : American Mathematical Soc.
Page : 192 pages
File Size : 41,5 Mb
Release : 2019-12-26
Category : Education
ISBN : 9781470451820

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Complex Numbers and Geometry by Liang-shin Hahn Pdf

The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.

Author : Lee B. Croft,Alicia C. Baehr,Patrick J. Heuer
Publisher : Lulu.com
Page : 301 pages
File Size : 42,8 Mb
Release : 2008-12-01
Category : Education
ISBN : 9780578004686

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Not to Perish by Lee B. Croft,Alicia C. Baehr,Patrick J. Heuer Pdf

As the co-authors present 13 of American Prof. of Russian Lee B. Croft's scholarly articles (in English with Russian examples), the articles fascinate as they advance the reader's knowledge of: glossolalia, poetic decipherment and translation, language philosophy and psychology, linguistic iconicity and language universals, an American Nobel-laureate scientist's inspiration, literary pornography, pervasive triplicity, spontaneous human combustion and polylingual alphamagic squares.

Author : Ivars Peterson
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 43,6 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470458515

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Mathematical Treks: From Surreal Numbers to Magic Circles by Ivars Peterson Pdf

Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : American Mathematical Society
Page : 399 pages
File Size : 45,7 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781470470036

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Sherlock Holmes in Babylon and Other Tales of Mathematical History by Marlow Anderson,Victor Katz,Robin Wilson Pdf

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 : Sergei Abramovich,Michael L. Connell
Publisher : Springer Nature
Page : 451 pages
File Size : 45,6 Mb
Release : 2021-05-10
Category : Education
ISBN : 9783030685645

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Developing Deep Knowledge in Middle School Mathematics by Sergei Abramovich,Michael L. Connell Pdf

This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Author : David Perkins
Publisher : MAA
Page : 181 pages
File Size : 40,9 Mb
Release : 2012-04-12
Category : Education
ISBN : 9780883855751

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Calculus and Its Origins by David Perkins Pdf

The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.

Author : Peter Borwein,Peter Liljedahl,Helen Zhai
Publisher : American Mathematical Soc.
Page : 199 pages
File Size : 44,9 Mb
Release : 2018-09-06
Category : Mathematics
ISBN : 9781470448745

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Mathematicians on Creativity by Peter Borwein,Peter Liljedahl,Helen Zhai Pdf

This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-caliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Mathematicians on Creativity is meant for a general audience and is probably best read by browsing.

Author : David Darling
Publisher : Turner Publishing Company
Page : 692 pages
File Size : 44,7 Mb
Release : 2008-04-21
Category : Mathematics
ISBN : 9780470307885

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The Universal Book of Mathematics by David Darling Pdf

Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven

Author : Dan Pedoe
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 43,5 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457327

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Circles: A Mathematical View by Dan Pedoe Pdf

This revised edition of a mathematical classic originally published in 1957 will bring to a new generation of students the enjoyment of investigating that simplest of mathematical figures, the circle. The author has supplemented this new edition with a special chapter designed to introduce readers to the vocabulary of circle concepts with which the readers of two generations ago were familiar. Readers of Circles need only be armed with paper, pencil, compass, and straight edge to find great pleasure in following the constructions and theorems. Those who think that geometry using Euclidean tools died out with the ancient Greeks will be pleasantly surprised to learn many interesting results which were only discovered in modern times. Novices and experts alike will find much to enlighten them in chapters dealing with the representation of a circle by a point in three-space, a model for non-Euclidean geometry, and the isoperimetric property of the circle.

Author : Constance Reid
Publisher : American Mathematical Soc.
Page : 123 pages
File Size : 43,8 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457358

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Julia: A Life in Mathematics by Constance Reid Pdf

In high school, Julia Bowman stood alone as the only girl - and the best student - in the junior and senior math classes. She had only one close friend and no boyfriends. Although she was to learn that there are such people as mathematicians, her ambition was merely to get a job teaching mathematics in high school. At great sacrifice, her widowed stepmother sent her to the University of California at Berkeley. But at Berkeley, in a society of mathematicians, she discovered herself. There was also a prince at Berkeley, a brilliant young assistant professor named Raphael Robinson. Theirs was to be a marriage that would endure until her death in 1985. Julia is the story of Julia Bowman Robinson, the gifted and highly original mathematician who during her lifetime was recognized in ways that no other woman mathematician had ever been recognized. This unusual book brings together in one volume the prize winning Autobiography of Julia Robinson by her sister, the popular mathematical biographer Constance Reid, and three very personal articles about her work by outstanding mathematical colleagues.