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The nuts and bolts of proofs : an introduction to mathematical proofs /
The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Waltham, MA :
Academic Press,
�2013.
|
| Edition: | 4th ed. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Chapter 1: Getting Started Introduction and Basic Terminology General Suggestions
- Chapter 2: Basic Techniques to Prove If/Then Statements What Does "If/Then" Mean? Direct Proof The Negation of a Statement, And/Or Proof by Contrapositive Proof by Contradiction
- Chapter 3: Special kinds of Theorems "If and only if" or Equivalence Theorems Use of Counterexamples Mathematical Induction Existence Theorems Uniqueness Theorems Composite Statements Equality of Numbers
- Chapter 4: Some mathematical topics on which to practice proof techniques Basic Set Theory About Functions Relations The Basics of Groups Limits Cardinality and Sizes of Infinity
- Chapter 5: Review Exercises Exercises Without Solutions Collection of Proofs Solutions for the Exercises at the End of the Sections and the Review Exercises Solutions for the Exercises at the End of the Sections Solutions for the Review Exercises Other Books on the Subject of Proofs and Mathematical Writing.