The nuts and bolts of proofs /
The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive th...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam ; Boston :
Elsevier Academic Press,
[2005].
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| Edition: | Third edition. |
| Subjects: | |
| Online Access: | CONNECT CONNECT |
Table of Contents:
- Introduction and Basic Terminology
- General Suggestions
- Some basic Techniques Used in Proving a Theorem of the Form :If A then B
- Direct Proof
- Related Statements
- Proof by Contra positive
- How to Construct the Negation of a Statement
- Special Kinds of Theorems
- If and only if or Equivalence Theorems
- Use of Counterexamples
- Mathematical Induction
- Existence Theorems
- Uniqueness Theorems
- Equality of Sets
- Equality of Numbers
- Composite Statements
- Limits
- Review Exercises
- Exercises without Soultions
- Collection of Proofs
- Solutions of the Exercises at the End of the Sections and the Review Exercises
- Other Books on the Subject of Proofs and Mathematical Writing.
