Handbook of 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.

Handbook of Mathematical Induction

Handbook of Mathematical Induction

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.

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Handbook of Mathematical Induction
Language: en
Pages: 921
Authors: David S. Gunderson
Categories: Induction (Mathematics)
Type: BOOK - Published: 2016-11-16 - Publisher: Chapman & Hall/CRC

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,
Exam Prep Flash Cards for Handbook of Mathematical ...
Language: en
Pages:
Authors: David S. Gunderson
Categories: Induction (Mathematics)
Type: - Published: - Publisher:

Books about Exam Prep Flash Cards for Handbook of Mathematical ...
Handbook of Mathematical Logic
Language: en
Pages: 1165
Authors: Amsterdam
Categories: Logic, Symbolic and mathematical.
Type: BOOK - Published: 1977 - Publisher: Elsevier Science Limited

Books about Handbook of Mathematical Logic
Handbook of Automated Reasoning
Language: en
Pages: 2122
Authors: Alan J.A. Robinson, Andrei Voronkov
Categories: Computers
Type: BOOK - Published: 2001-07-05 - Publisher: Gulf Professional Publishing

Handbook of Automated Reasoning.
Handbook of Mathematics
Language: en
Pages: 1153
Authors: I. N. Bronshtein, K. A. Semendyayev, G. Musiol, H. Mühlig
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: Springer Science & Business Media

This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most

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