Exploring Mathematics Problem-Solving and Proof /

Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving p...

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Bibliographische Detailangaben
1. Verfasser: Grieser, Daniel (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Springer Undergraduate Mathematics Series,
Schlagworte:
Mathematics.
Mathematics-Study and teaching .
ISBN:9783319903217
ISSN:1615-2085
Online-Zugang: Volltext
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Inhaltsangabe:
  • 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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