Handbook of mathematical induction : theory and applications
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The work Handbook of mathematical induction : theory and applications represents a distinct intellectual or artistic creation found in University of San Diego Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Handbook of mathematical induction : theory and applications
Resource Information
The work Handbook of mathematical induction : theory and applications represents a distinct intellectual or artistic creation found in University of San Diego Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Handbook of mathematical induction : theory and applications
 Title remainder
 theory and applications
 Statement of responsibility
 David S. Gunderson
 Language
 eng
 Summary
 "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 wellordered 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 selfcontained 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 problemsolving process."Publisher's description
 Cataloging source
 MiAaPQ
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Discrete mathematics and its applications
Context
Context of Handbook of mathematical induction : theory and applicationsWork of
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