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Exploring Mathematics: Problem-Solving and Proof

Exploring Mathematics: Problem-Solving and Proof

Paperback

Series: Springer Undergraduate Mathematics

General MathematicsTeaching Instruction

ISBN10: 3319903195
ISBN13: 9783319903194
Publisher: Springer Nature
Published: May 31 2018
Pages: 308
Weight: 1.00
Height: 0.67 Width: 6.14 Depth: 9.21
Language: English
Introduction.- 1 First explorations.- 2 Recursion - a fundamental idea.- 3 Mathematical induction.- 4 Graphs.- 5 Counting.- 6 General problem solving strategies.- 7 Logic and proofs.- 8 Elementary number theory.- 9 The pigeonhole principle.- 10 The extremal principle.- 11 The invariance principle.- A A survey of problem-solving strategies.- B Basics on sets and maps.- List of symbols.- Glossary.- Lists of problems, theorems and methods.- Hints for selected exercises.- References.

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General Mathematics