## Handbook of Mathematical Induction: Theory and Applications David S. Gunderson 有声读物

### Handbook of Mathematical Induction: Theory and Applications David S. Gunderson 有声读物

###### Handbook of Mathematical Induction: Theory and Applications David S. Gunderson 有声读物免费

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.

Handbook of Mathematical Induction: Theory and Applications David S. Gunderson 有声书下载

• 作者:
• 发行人: Chapman and Hall/CRC
• 发布日期:
• 覆盖: (英语)
• 语言: 英语
• ISBN-10: 113819901X
• ISBN-13: 9781138199019
• 外型尺寸: 5.1 x 17.1 x 24.8 cm
• 重量: 1.6 Kg
• 精装:
• 系列:
• 年级:
• 年龄:
• 作者:
• 价钱:

### 书评

Handbook of Mathematical Induction: Theory and Applications

### allelizery60b4

This is one of my all-time favorites. It's a beautifully written story about two best friends and what happens to them when a carnival comes to their small town. It was an intense, moving, frightening read. Ray Bradbury is at the top of his game here.

2020-01-31 13:44

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