Book of Proof
This is a book about how to prove theorems. Until this point in your education, you may have regarded mathematics primarily as a computational discipline. You have learned to solve equations, compute derivatives and integrals, multiply matrices and find determinants; and you have seen how these thin...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Richmond, VA
Richard Hammack
[2013]
|
| Edition: | Third Edition |
| Series: | Open textbook library.
|
| Subjects: | |
| Online Access: | Access online version |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- I Fundamentals
- 1. Sets
- 2. Logic
- 3. Counting
- II How to Prove Conditional Statements
- 4. Direct Proof
- 5. Contrapositive Proof
- 6. Proof by Contradiction
- III More on Proof
- 7. Proving Non-Conditional Statements
- 8. Proofs Involving Sets
- 9. Disproof
- 10. Mathematical Induction
- IV Relations, Functions and Cardinality
- 11. Relations
- 12. Functions
- 13. Proofs in Calculus
- 14. Cardinality of Sets