Exploring Mathematics: Problem-Solving and Proof

By Daniel Grieser

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.

• Format: Paperback
• Language: English
• ISBN: 3319903195
• ISBN13: 9783319903194
• Release Date: May 2018
• Publisher: Springer
• Length: 308 Pages
• Weight: 1.00 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"