Proof patterns /
Saved in:
Author / Creator: | Joshi, Mark, author. |
---|---|
Imprint: | Cham : Springer, 2015. |
Description: | 1 online resource (xiii, 190 pages) : illustrations |
Language: | English |
Series: | Online access with purchase: Springer (t) |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11092568 |
Table of Contents:
- Induction and complete induction
- Double Counting
- The pigeonhole principle
- Divisions
- Contrapositive and contradiction
- Intersection-enclosure and Generation
- Difference of invariants
- Linear dependence, fields and transcendence
- Formal equivalence
- Equivalence extension
- Proof by classification
- Specific-generality
- Diagonal tricks and cardinality
- Connectedness and the Jordan curve theorem
- The Euler characteristic and the classification of regular polyhedra
- Discharging
- The matching problem
- Games
- Analytical patterns
- Counterexamples.