Combinatorial Problems and Exercises (AMS Chelsea Publishing)

Laszlo Lovasz

ISBN 10: 0821842625 / ISBN 13: 9780821842621

Edité par American Mathematical Society, 2007

A propos de cet article

In shrink wrap. Looks like an interesting title!

N° de réf. du vendeur Q-0821842625

Détails bibliographiques

• Titre: Combinatorial Problems and Exercises (AMS Chelsea Publishing)
• Éditeur: American Mathematical Society
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 0821842625
• ISBN à 13 chiffres: 9780821842621
• Reliure: Hardcover
• Édition: 2ème Édition
• État de l'article: New
• Poids: 44 onces

A propos de ce titre

Synopsis

The main purpose of this book is to provide help in learning existing techniques in combinatorics. The most effective way of learning such techniques is to solve exercises and problems. This book presents all the material in the form of problems and series of problems (apart from some general comments at the beginning of each chapter). In the second part, a hint is given for each exercise, which contains the main idea necessary for the solution, but allows the reader to practice the techniques by completing the proof. In the third part, a full solution is provided for each problem. This book will be useful to those students who intend to start research in graph theory, combinatorics or their applications, and for those researchers who feel that combinatorial techniques might help them with their work in other branches of mathematics, computer science, management science, electrical engineering and so on. For background, only the elements of linear algebra, group theory, probability and calculus are needed.

Présentation de l'éditeur

The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book.

Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.