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Author : Joseph D. E. Konhauser,Dan Velleman,Stan Wagon
Publisher : Cambridge University Press
Page : 262 pages
File Size : 47,6 Mb
Release : 1996
Category : Mathematics
ISBN : 0883853256
The best problems selected from over 25 years of the Problem of the Week at Macalester College.
Author : Anonim
Publisher : Unknown
Page : 235 pages
File Size : 44,6 Mb
Release : 1996
Category : Mathematics
ISBN : 0883853000
Author : Daniel J. Velleman,S. Wagon
Publisher : American Mathematical Soc.
Page : 286 pages
File Size : 52,6 Mb
Release : 2020-08-17
Category : Mathematics
ISBN : 9781470447595
Bicycle or Unicycle? is a collection of 105 mathematical puzzles whose defining characteristic is the surprise encountered in their solutions. Solvers will be surprised, even occasionally shocked, at those solutions. The problems unfold into levels of depth and generality very unusual in the types of problems seen in contests. In contrast to contest problems, these are problems meant to be savored; many solutions, all beautifully explained, lead to unanswered research questions. At the same time, the mathematics necessary to understand the problems and their solutions is all at the undergraduate level. The puzzles will, nonetheless, appeal to professionals as well as to students and, in fact, to anyone who finds delight in an unexpected discovery. These problems were selected from the Macalester College Problem of the Week archive. The Macalester tradition of a weekly problem was started by Joseph Konhauser in 1968. In 1993 Stan Wagon assumed problem-generating duties. A previous book written by Wagon, Konhauser, and Dan Velleman, Which Way Did the Bicycle Go?, gathered problems from the first twenty-five years of the archive. The title problem in that collection was inspired by an error in logic made by Sherlock Holmes, who attempted to determine the direction of a bicycle from the tracks of its wheels. Here the title problem asks whether a bicycle track can always be distinguished from a unicycle track. You'll be surprised by the answer.
Author : Deanna Haunsperger,Stephen Kennedy
Publisher : MAA
Page : 338 pages
File Size : 42,6 Mb
Release : 2006
Category : Mathematics
ISBN : 0883855550
Exquisite expositions of mathematics taken from the first ten years of the Math Horizons magazine.
Author : Kristine K. Fowler
Publisher : CRC Press
Page : 475 pages
File Size : 48,6 Mb
Release : 2004-05-25
Category : Language Arts & Disciplines
ISBN : 9781482276442
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathemati
Author : Dan Kalman
Publisher : American Mathematical Soc.
Page : 265 pages
File Size : 49,7 Mb
Release : 2020-07-29
Category : Mathematics
ISBN : 9781470458447
Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 252 pages
File Size : 40,9 Mb
Release : 2019-06-25
Category : Education
ISBN : 9781470451691
Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.
Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 241 pages
File Size : 48,5 Mb
Release : 2003-12-31
Category : Mathematics
ISBN : 9781470458423
Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdos. This book is ideal for students, teachers and anyone interested in recreational mathematics.
Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 40,5 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 9781470457235
A collection of miscellanious gems from elementary mathematics, ranging from the latest International Olympiads all the way back to Euclid. Each one casts light on a striking result or a brilliant device, and any reader with only a modest mathematical background will appreciate the ingenious solutions that are also presented.
Author : Joseph A. Gallian
Publisher : American Mathematical Soc.
Page : 329 pages
File Size : 55,7 Mb
Release : 2010-12-31
Category : Mathematics
ISBN : 9781614442004
An accessible compendium of essays on the broad theme of mathematics and sports.
Author : Keith Kendig
Publisher : American Mathematical Soc.
Page : 375 pages
File Size : 41,6 Mb
Release : 2008-12-31
Category : Mathematics
ISBN : 9781614442073
A collection of over 250 multiple-choice problems to challenge and delight everyone from school students to professional mathematicians.
Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 325 pages
File Size : 55,5 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9781470457211
Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathe matics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined its faculty in 1964 in the Department of Combina torics and Optimization, and has been there ever since. Honsberger has published a number of bestselling books with the Mathematical Association of America, including Episodes in Nineteenth and Twentieth Century Euclidean Geometry, and From Erdos to Kiev. In Polya's Footsteps is his eighth book published in the Dolciani Mathematical Exposition Series. The study of mathematics is often undertaken with an air of such seriousness that it doesn't always seem to be much fun at the time. However, it is quite amazing how many surprising results and brilliant arguments one is in a position to enjoy with just a high school background. This is a book of miscellaneous delights, presented not in an attempt to instruct but as a harvest of rewards that are due good high school students and, of course, those more advancedtheir teachers, and everyone in the university mathematics community. Admittedly, they take a little concentration, but the price is a bargain for such gems. A half dozen essays are sprinkled among some hundred problems, most of which are the easier problems that have appeared on various national and international olympiads. Many subjects are representedcombinatorics, geometry, number theory, algebra, probability. The sections may be read in any order. The book concludes with twentyfive exercises and their detailed solutions. It is hoped that something to delight will be found in every sectiona surprising result, an intriguing approach, a stroke of ingenuityand that the leisurely pace and generous explanations will make them a pleasure to read. The inspiration for many of the problems came from the Olympiad Corner of Crux Mathematicorum, published by the Canadian Mathematical Society.
Author : Arthur T. Benjamin,Jennifer J. Quinn
Publisher : American Mathematical Society
Page : 210 pages
File Size : 42,9 Mb
Release : 2022-09-21
Category : Mathematics
ISBN : 9781470472597
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
Author : Arthur T. Benjamin,Ezra Brown
Publisher : American Mathematical Soc.
Page : 311 pages
File Size : 44,5 Mb
Release : 2020-07-29
Category : Mathematics
ISBN : 9781470458430
Author : Keith Kendig
Publisher : American Mathematical Soc.
Page : 403 pages
File Size : 44,9 Mb
Release : 2020-07-29
Category : Mathematics
ISBN : 9781470456832
This book engages the reader in a journey of discovery through a spirited discussion among three characters: philosopher, teacher, and student. Throughout the book, philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and examplehungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, workedout examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can selfstudy the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.