Kvant Selecta: v. 1 - Combinatorics (Mathematical World No. 17)

Kvant Selecta: v. 1 - Combinatorics (Mathematical World No. 17)

By: Serge Tabachnikov (author)Paperback

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Description

There is a tradition in Russia that holds that mathematics can be both challenging and fun. One fine outgrowth of that tradition is the magazine, ""Kvant"", which has been enjoyed by many of the best students since its founding in 1970. The articles in ""Kvant"" assume only a minimal background, that of a good high school student, yet are capable of entertaining mathematicians of almost any level. Sometimes the articles require careful thought or a moment's work with a pencil and paper. However, the industrious reader will be generously rewarded by the elegance and beauty of the subjects.This book is the third collection of articles from ""Kvant"" to be published by the AMS. The volume is devoted mainly to combinatorics and discrete mathematics. Several of the topics are well known: nonrepeating sequences, detecting a counterfeit coin, and linear inequalities in economics, but they are discussed here with the entertaining and engaging style typical of the magazine. The two previous collections treat aspects of algebra and analysis, including connections to number theory and other topics. They were published as Volumes 14 and 15 in the ""Mathematical World"" series. The articles are written so as to present genuine mathematics in a conceptual, entertaining, and accessible way. The books are designed to be used by students and teachers who love mathematics and want to study its various aspects, deepening and expanding upon the school curriculum.

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Contents

Two games with matchsticks by I. M. Yaglom Economics and linear inequalities by A. B. Katok Economics and linear inequalities (Continuation) by A. B. Katok Switching networks by R. V. Freivald Who will go to Rio? by G. M. Adel'son-Vel'skii, I. N. Bernshtein, and M. L. Gerver From the life of units by A. L. Toom Nonrepeating sequences by G. A. Gurevich Words with restrictions by A. M. Stepin and A. T. Tagi-Zade Planar switching circuits by S. Ovchinnikov Classification algorithms by P. Bleher and M. Kel'bert How to detect a counterfeit coin by G. Shestopal The generalized problem of counterfeit coins by M. Mamikon Truthtellers, liars, and deceivers by P. Bleher Solvable and unsolvable algorithmic problems by V. A. Uspenskii and A. L. Semenov Best bet for simpletons by P. A. Pevzner.

Product Details

  • publication date: 15/11/2001
  • ISBN13: 9780821821718
  • Format: Paperback
  • Number Of Pages: 131
  • ID: 9780821821718
  • weight: 283
  • ISBN10: 0821821717

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