Mathematics as Problem Solving

Alexander Soifer

ISBN 10: 0387746463 / ISBN 13: 9780387746463

Editore: Springer New York, Springer New York, 2009

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Druck auf Anfrage Neuware - Printed after ordering - This book joins several other books available for the preparation of young scholars for a future that involves solving mathematical pr- lems. This training not only increases their tness in competitions, but may also help them in other endeavors they may engage in the future. The book is a diversi ed collection of problems from all areas of high school mathematics, and is written in a lively and engaging way. The introductory explanations and worked problems help guide the reader without turning the additional problems into rote repe- tions of the solved ones. The book should become an essential tool in the armamentarium of faculty involved with training future competitors. Branko Grunbaum Professor of Mathematics University of Washington June 2008, Seattle, Washington Foreword This was the rst of Alexander Soifer's books, I think, preceding How Does One Cut a Triangle by a few years. It is short on anecdote and reminiscence, but there is charm in its youthful brusqueness and let- get-right-to-business muscularity. And, mainly, there is a huge lode of problems, very good ones worked out and very good ones left to the reader to work out.

Codice articolo 9780387746463

Dati bibliografici

• Titolo: Mathematics as Problem Solving
• Editore: Springer New York, Springer New York
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0387746463
• ISBN 13: 9780387746463
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 8 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 8 millimetri di profondità
• Peso: 207 grammi

Descrizione articolo

Riassunto

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems.  Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles.

Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.

Dalla quarta di copertina

Retelling the best solutions and sharing the secrets of discovery are part of the process of teaching problem solving. Ideally, this process is characterized by mathematical skill, good taste, and wit. It is a characteristically personal process and the best such teachers have surely left their personal marks on students and readers. Alexander Soifer is a teacher of problem solving and his book, Mathematics as Problem Solving, is designed to introduce problem solving to the next generation.

--Cecil Rousseau

The American Mathematical Monthly

The problems faithfully reflect the world famous Russian school of mathematics, whose folklore is carefully interwoven with more traditional topics. Many of the problems are drawn from the author's rich repertoire of personal experiences, dating back to his younger days as an outstanding competitor in his native Russia, and spanning decades and continents as an organizer of competitions at the highest level.

--George Bersenyi

The book contains a very nice collection of problems of various difficulty. I particularly liked the problems on combinatorics and geometry.

--Paul Erdos

Professor Soifer has put together a splendid collection of elementary problems designed to lead students into significant mathematical concepts and techniques. Highly recommended.

--Martin Gardner

To assemble so much material of the type used in Mathematical Olympiads, which has been tried and tested there, is unusual. To then present it in a form which develops themes, supported by relevant examples and problems for the reader, does the author great credit.

--R. W. Whitworth

The Mathematical Gazette