This book is a collection of translations of articles from Russian Editions of the journal Kvant meaning "Quantum". The present volume is the third in a series of translations of articles from Kvant published by the American Mathematical Society; they all appeared in the Mathematical World series, as volumes 14, 15, and 17 respectively. The articles in this volume are mainly on subjects from combinatorics and discrete mathematics. They are written mainly for very motivated high school students, interested in challenging problems and in getting ready for mathematical competitions. As such, they do not require a substantial mathematical background, but they certainly contain nontrivial material. The book is designed to be used by undergraduate students, as well as high school students and teachers interested in mathematical problems beyond the curriculum, problems that are both fun and challenging.

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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 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.

Graduate students and research mathematicians interested in combinatorics and discrete mathematics. Know that ebook versions of most of our titles are still available and may be downloaded immediately after purchase. AMS Homepage. Join our email list. Sign up. Ordering on the AMS Bookstore is limited to individuals for personal use only.

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Kvant Selecta: Combinatorics, I

Translation of selected articles from Kvant had been published in Quantum Magazine in —, which in turn had been translated and published in Greece in — In Soviet time, it was published by Nauka publisher with circulation about , The idea of the magazine was introduced by Pyotr Kapitsa. Its first chief editors were physicist Isaak Kikoin and mathematician Andrei Kolmogorov. All published issues of Kvant are freely available online. Some of its articles were translations from Kvant. In , American Mathematical Society published translation of selected articles from Kvant on algebra and mathematical analysis as two volumes in the Mathematical World series.


Kvant Selecta: Algebra and Analysis, I

Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. The influence of this magazine on mathematics and physics education in Russia is unmatched. This collection represents the Russian tradition of expository mathematical writing at its best. Articles selected for these two volumes are written by leading Russian mathematicians and expositors.


Kvant Selecta: Combinatorics I




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