Handbook of Mathematical Induction: Theory and Applications - Couverture rigide

Gunderson, David S.

 
9781420093643: Handbook of Mathematical Induction: Theory and Applications
Couverture rigide
ISBN 10 : 1420093649 ISBN 13 : 9781420093643
Editeur : Chapman & Hall/CRC, 2010

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
Chapman & Hall/CRC
Date d'édition
2010
Langue
anglais
ISBN 10 
1420093649
ISBN 13 
9781420093643
Reliure
Relié
Nombre de pages
893
Coordonnées du fabricant
CRC Press
https://www.routledge-ny.com

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Personne responsable
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gpsr@libri.de

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Hamburg
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Autres éditions populaires du même titre

9781138199019: Handbook of Mathematical Induction: Theory and Applications

Edition présentée

ISBN 10 :  113819901X ISBN 13 :  9781138199019
Editeur : CRC Press, 2016
Couverture souple