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

Jiri Herman

ISBN 10: 1441930531 / ISBN 13: 9781441930538

Verlag: Springer US, Springer New York, 2010

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book can be seen as a continuation of Equations and Inequalities: El ementary Problems and Theorems in Algebra and Number Theory by the same authors, and published as the first volume in this book series. How ever, it can be independently read or used as a textbook in its own right. This 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. It can also be used as a source of supplementary material for any course dealing with combinatorics, graph theory, number theory, or geometry, or for any of the discrete mathematics courses that are offered at most American and Canadian universities. The underlying 'philosophy' of this book is the same as that of Equations and Inequalities. The following paragraphs are therefore taken from the preface of that book.

Bestandsnummer des Verkäufers 9781441930538

Bibliografische Details

• Titel: Counting and Configurations : Problems in Combinatorics, Arithmetic, and Geometry
• Verlag: Springer US, Springer New York
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 1441930531
• ISBN-13: 9781441930538
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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. There are approximately 310 examples and 650 exercises.

Von der hinteren Coverseite

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).