Handbook of Mathematical Induction: Theory and Applications (Discrete Mathematics and Its Applications)
Language: English
Published by Chapman and Hall/CRC, 2010
- Hardcover
- Used
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- Title
- Handbook of Mathematical Induction: Theory and Applications (Discrete Mathematics and Its Applications)
- Author
- Gunderson, David S.
- Publisher
- Chapman and Hall/CRC
- Publication year
- 2010
- Condition
- Good
- Binding
- hardcover
- Language
- English
- ISBN 10
- 1420093649
- ISBN 13
- 9781420093643
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.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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The Friends of the Sierra Vista was founded in 1973 as a volunteer non-profit organization to support the Sierra Vista Public Library. We encourage the use of the library's resources and services, promote the value of the library to the community and provide supplementary funds. The funds generated from the sale of donated books, videos, records, etc. by the public, are used for the special needs not covered by the library's annual funding process. These special needs include: the Summer Reading Program for young people, Born to Read Program for newborns, support of the Raymond H. Dunne Trust Fund for Capital Improvements and purchases of technological equipment utilized by the library. We also donate books to various organizations such as the Veterans Administration Hospital and the Department of Corrections…
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The Friends of the Sierra Vista was founded in 1973 as a volunteer non-profit organization to support the Sierra Vista Public Library. We encourage the use of the library's resources and services, promote the value of the library to the community and provide supplementary funds. The funds generated from the sale of donated books, videos, records, etc. by the public, are used for the special needs not covered by the library's annual funding process. These special needs include: the Summer Reading Program for young people, Born to Read Program for newborns, support of the Raymond H. Dunne Trust Fund for Capital Improvements and purchases of technological equipment utilized by the library. We also donate books to various organizations such as the Veterans Administration Hospital and the Department of Corrections.
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