Handbook of Mathematical Induction: Theory and Applications - Couverture souple

Gunderson, David S.

 
9781138199019: Handbook of Mathematical Induction: Theory and Applications
Couverture souple
ISBN 10 : 113819901X ISBN 13 : 9781138199019
Editeur : CRC Press, 2016

Synopsis

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.

In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn’s lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs.

The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized.

The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

David S. Gunderson is a professor and chair of the Department of Mathematics at the University of Manitoba in Winnipeg, Canada. He earned his Ph.D. in pure mathematics from Emory University. His research interests include Ramsey theory, extremal graph theory, combinatorial geometry, combinatorial number theory, and lattice theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2016
Langue
anglais
ISBN 10 
113819901X
ISBN 13 
9781138199019
Reliure
Broché
Nombre de pages
921
Coordonnées du fabricant
Easy Access System Europe Oü, 16879218
gpsr.requests@easproject.com

Mustamäe tee 50, 10621, Tallinn, Estonia
Tallinn
10621
Estonie

Autres éditions populaires du même titre

9781420093643: Handbook of Mathematical Induction: Theory and Applications

Edition présentée

ISBN 10 :  1420093649 ISBN 13 :  9781420093643
Editeur : Chapman & Hall/CRC, 2010
Couverture rigide