Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry - Rilegato

Herman, Jiri; Kucera, Radan

 
9780387955520: Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry

Sinossi

This book presents methods of solving problems in classical combinatorics, combinatorial number theory, and combinatorial geometry. It can be seen as a continuation of the successful book "Equations and Inequalities" by the same authors. However, it can be read independently or used as a textbook in its own right. The authors' aim is to familiarize the reader with methods for solving problems in elementary mathematics, accessible to beginning university and advanced high-school students. They emphasize basic algebraic operations and other technical skills that are reinforced in numerous examples and exercises. Answers to all exercises can be found at the end of the book. The book is intended as a text for a problem-solving course at the first- or second-year university level, as a text for enrichment classes for talented high-school students, or for mathematics competition training.

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Dalla quarta di copertina

 This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. In each topic, brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty, and by exercises that range from routine to rather challenging. While this book emphasizes some methods that are not usually covered in beginning university courses, it nevertheless teaches techniques and skills that are useful not only in the specific topics covered here. There are approximately 310 examples and 650 exercises.

Jirí Herman is the headmaster of a prestigious secondary school (Gymnazium) in Brno, Radan Kucera is Associate Professor of Mathematics at Masaryk University in Brno, and Jaromír Simsa is a researcher at the Mathematical Institute of the Academy of Sciences of the Czech Republic. The translator, Karl Dilcher, is Professor of Mathematics at Dalhousie University in Canada. This book can be seen as a continuation of the previous book by the same authors and also translated by Karl Dilcher, Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory (Springer-Verlag 2000).

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9781441930538: Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry

Edizione in evidenza

ISBN 10:  1441930531 ISBN 13:  9781441930538
Casa editrice: Springer, 2010
Brossura