Exploring Mathematics Problem-Solving and Proof /

• Κύριος συγγραφέας: Grieser, Daniel (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Springer Undergraduate Mathematics Series,
• Θέματα: Mathematics.; Mathematics-Study and teaching .; Mathematics, general.; Mathematics Education.; Popular Science in Mathematics.

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...

Πίνακας περιεχομένων:

• 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.