Title Statements
- Full title :Proof Patterns / by Mark Joshi.
Edition Statements
- Publication Date:2015.
Publication Statements
- Publisher(s):Imprint, Springer, Springer International Publishing
- Place of Publication:Cham
- Language:eng
- Publication Date:2015.
The Physical Object
- Description:1 online resource (XIII, 190 p. 24 illustrations) : : online resource
Edition Identifiers
- ISBN:9783319162508, 3319162500
- DOI:10.1007/978-3-319-16250-8
- oclc:ocn942579761
- LC Classification:QA241-247.5
- Dewey Decimal:512.7
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.
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