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Titlebook: Winning Solutions; Edward Lozansky,Cecil Rousseau Book 1996 Springer-Verlag New York, Inc. 1996 Combinatorics.Pigeonhole principle.algebra

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书目名称Winning Solutions
编辑Edward Lozansky,Cecil Rousseau
视频video
丛书名称Problem Books in Mathematics
图书封面Titlebook: Winning Solutions;  Edward Lozansky,Cecil Rousseau Book 1996 Springer-Verlag New York, Inc. 1996 Combinatorics.Pigeonhole principle.algebra
描述Problem-solving competitions for mathematically talented sec­ ondary school students have burgeoned in recent years. The number of countries taking part in the International Mathematical Olympiad (IMO) has increased dramatically. In the United States, potential IMO team members are identified through the USA Mathematical Olympiad (USAMO), and most other participating countries use a similar selection procedure. Thus the number of such competitions has grown, and this growth has been accompanied by increased public interest in the accomplishments of mathematically talented young people. There is a significant gap between what most high school math­ ematics programs teach and what is expected of an IMO participant. This book is part of an effort to bridge that gap. It is written for students who have shown talent in mathematics but lack the back­ ground and experience necessary to solve olympiad-level problems. We try to provide some of that background and experience by point­ out useful theorems and techniques and by providing a suitable ing collection of examples and exercises. This book covers only a fraction of the topics normally rep­ resented in competitions such as the USAMO a
出版日期Book 1996
关键词Combinatorics; Pigeonhole principle; algebra; diophantine equation; polynomial
版次1
doihttps://doi.org/10.1007/978-1-4612-4034-1
isbn_softcover978-0-387-94743-3
isbn_ebook978-1-4612-4034-1Series ISSN 0941-3502 Series E-ISSN 2197-8506
issn_series 0941-3502
copyrightSpringer-Verlag New York, Inc. 1996
The information of publication is updating

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Book 1996rt in the International Mathematical Olympiad (IMO) has increased dramatically. In the United States, potential IMO team members are identified through the USA Mathematical Olympiad (USAMO), and most other participating countries use a similar selection procedure. Thus the number of such competition
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Numbers, by the Italian mathematician Giuseppe Peano. Our approach is informal. It is assumed that the reader is familiar with various number systems. The following definitions ensure a common language with which to present problems and their solutions.
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Algebra,ed to equations and inequalities involving polynomials), . (vector space treatment of various problems, especially systems of linear equations) and . or . (groups, rings, fields, and other basic algebraic structures). The emergence of modern algebra has come largely as a result of attempts to understand more clearly certain classical problems.
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Combinatorics,to the whole sphere of sciences” and listed military science, grammar, law, and medicine as areas where combinatorics might be applied. In recent years, the vision of Leibnitz has become a reality, and combinatorics is now a foundational subject for computer science and is used in many creative ways in science and technology.
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Winning Solutions978-1-4612-4034-1Series ISSN 0941-3502 Series E-ISSN 2197-8506
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