Proof Patterns

Proof Patterns

Joshi, Mark

Springer International Publishing AG

03/2015

190

Mole

Inglês

9783319162492

15 a 20 dias

3168

Descrição não disponível.
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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Combinatorics;Euclidean Geometry;Game Theory;Mathematics Education;Patterns;Proof;Pure Mathematics