From Erdös To Kiev

Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 257 pages
File Size : 41,7 Mb
Release : 2020-07-29
Category : Education
ISBN : 9781470458409

Get Book

From Erdős to Kiev: Problems of Olympiad Caliber by Ross Honsberger Pdf

Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.

Author : Ross Honsberger
Publisher : Unknown
Page : 257 pages
File Size : 52,8 Mb
Release : 1996
Category : Mathematics
ISBN : 0883853000

Get Book

From Erdös to Kiev by Ross Honsberger Pdf

Author : Ross Honsberger
Publisher : Unknown
Page : 257 pages
File Size : 40,7 Mb
Release : 1991
Category : Mathematics
ISBN : 0883853000

Get Book

From Erdos to Kiev ; Problems to Olympiad Caliber by Ross Honsberger Pdf

Author : Ross Honsberger
Publisher : Unknown
Page : 257 pages
File Size : 55,8 Mb
Release : 1996
Category : Mathematics
ISBN : 0883853000

Get Book

From Erdös to Kiev by Ross Honsberger Pdf

"Most of the problems in the collection have appeared on national or international Olympiads or other contests ... The problems included in this collection are taken from geometry, number theory, probability, and combinatorics."--Page 4 of cover.

Author : Liong-shin Hahn
Publisher : 國立臺灣大學出版中心
Page : 645 pages
File Size : 52,7 Mb
Release : 2011-12-01
Category : Mathematics
ISBN : 9789860311686

Get Book

Honsberger Revisited by Liong-shin Hahn Pdf

The author's purpose is to share the thrills and excitement of ingenious solutions to intriguing elementary problems that he has had the good fortune to have conceived in the pursuit of his passion over many years. His satisfaction lies in the beauty of these gems, not in the incidental fact that they happen to be his own work. A wonderful solution is a glorious thing, whoever might have thought of it, and the author has worked diligently to make easy reading of the joy and delights of his often hard-won success. In this volume the author collected his treatments of over a hundred problems from the treasure trove of Professor Honsberger. "This is a book for everyone who delights in the richness, beauty, and excitement of the wonderful ideas that abide in the realm of elementary mathematics. I feel it is only fair to caution you that this book can lead to a deeper appreciation and love of mathematics.

Author : Bruce Schechter
Publisher : Simon and Schuster
Page : 236 pages
File Size : 54,7 Mb
Release : 2000-02-28
Category : Biography & Autobiography
ISBN : 9780684859804

Get Book

My Brain is Open by Bruce Schechter Pdf

Traces the eccentric life of legendary mathematician Paul Erdos, a wandering genius who fled his native Hungary during the Holocaust and helped devise the mathematical basis of computer science.

Author : Sharad S. Sane
Publisher : Springer
Page : 477 pages
File Size : 47,9 Mb
Release : 2013-01-15
Category : Mathematics
ISBN : 9789386279552

Get Book

Combinatorial techniques by Sharad S. Sane Pdf

This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.

Author : Joseph D. E. Konhauser,Dan Velleman,Stan Wagon
Publisher : American Mathematical Soc.
Page : 235 pages
File Size : 41,8 Mb
Release : 1996-12-31
Category : Education
ISBN : 9781470463823

Get Book

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 : Peter D. Schumer
Publisher : John Wiley & Sons
Page : 216 pages
File Size : 54,5 Mb
Release : 2004-02-11
Category : Mathematics
ISBN : 0471220663

Get Book

Mathematical Journeys by Peter D. Schumer Pdf

A colorful tour through the intriguing world of mathematics Take a grand tour of the best of modern math, its most elegant solutions, most clever discoveries, most mind-bending propositions, and most impressive personalities. Writing with a light touch while showing the real mathematics, author Peter Schumer introduces you to the history of mathematics, number theory, combinatorics, geometry, graph theory, and "recreational mathematics." Requiring only high school math and a healthy curiosity, Mathematical Journeys helps you explore all those aspects of math that mathematicians themselves find most delightful. You’ll discover brilliant, sometimes quirky and humorous tidbits like how to compute the digits of pi, the Josephus problem, mathematical amusements such as Nim and Wythoff’s game, pizza slicing, and clever twists on rolling dice.

Author : Ross Honsberger
Publisher : Cambridge University Press
Page : 260 pages
File Size : 47,6 Mb
Release : 2003-05-15
Category : Mathematics
ISBN : 0883853329

Get Book

Mathematical Diamonds by Ross Honsberger Pdf

Collection of elementary mathematical problems with solutions. Ideal for students, teachers and general readers.

Author : Ivars Peterson
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 50,9 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470458515

Get Book

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

Author : Jack E. Graver
Publisher : Cambridge University Press
Page : 196 pages
File Size : 51,8 Mb
Release : 2001-09-06
Category : Mathematics
ISBN : 0883853310

Get Book

Counting on Frameworks by Jack E. Graver Pdf

Book developing a mathematical theory of rigidity, for undergraduates working in modelling or graph theory.

Author : Thomas Koshy
Publisher : John Wiley & Sons
Page : 820 pages
File Size : 48,9 Mb
Release : 2018-12-14
Category : Mathematics
ISBN : 9781118742181

Get Book

Fibonacci and Lucas Numbers with Applications, Volume 2 by Thomas Koshy Pdf

Volume II provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev polynomials of both kinds. This volume offers a uniquely unified, extensive, and historical approach that will appeal to both students and professional mathematicians. As in Volume I, Volume II focuses on problem-solving techniques such as pattern recognition; conjecturing; proof-techniques, and applications. It offers a wealth of delightful opportunities to explore and experiment, as well as plentiful material for group discussions, seminars, presentations, and collaboration. In addition, the material covered in this book promotes intellectual curiosity, creativity, and ingenuity. Volume II features: A wealth of examples, applications, and exercises of varying degrees of difficulty and sophistication. Numerous combinatorial and graph-theoretic proofs and techniques. A uniquely thorough discussion of gibonacci subfamilies, and the fascinating relationships that link them. Examples of the beauty, power, and ubiquity of the extended gibonacci family. An introduction to tribonacci polynomials and numbers, and their combinatorial and graph-theoretic models. Abbreviated solutions provided for all odd-numbered exercises. Extensive references for further study. This volume will be a valuable resource for upper-level undergraduates and graduate students, as well as for independent study projects, undergraduate and graduate theses. It is the most comprehensive work available, a welcome addition for gibonacci enthusiasts in computer science, electrical engineering, and physics, as well as for creative and curious amateurs.

Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 325 pages
File Size : 55,7 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9781470457211

Get Book

In Polya's Footsteps by Ross Honsberger Pdf

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 : Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publisher : Springer Science & Business Media
Page : 819 pages
File Size : 40,9 Mb
Release : 2011-05-05
Category : Mathematics
ISBN : 9781441998545

Get Book

The IMO Compendium by Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović Pdf

"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.