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Exploring Mathematics

Problem-Solving and Proof

Author(s):
Publisher:

Springer

Pages: 308
Further Actions:

Recommend to library

AVAILABLE FORMATS

Paperback - 9783319903194

22 May 2018

€34.99

In stock


Ebook - 9783319903217

21 May 2018

€35.69

In stock


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...

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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.

Show Less

Provides general and maths-specific problem-solving strategies

Contains many motivating examples and exercises

Engages the reader to explore mathematics and solve fun problems

Introduces fundamental ideas useful in all areas of mathematics

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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Daniel Grieser is Professor of Mathematics at Carl von Ossietzky Universität Oldenburg. He works in geometry, analysis and combinatorics. He won a gold medal at the International Mathematics Olympiad and in 2014 he received the Ars Legendi Faculty award for excellent teaching, a national prize awarded in Germany, for developing the course on which this book is based.

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Daniel Grieser is Professor of Mathematics at Carl von Ossietzky Universität Oldenburg. He works in geometry, analysis and combinatorics. He won a gold medal at the International Mathematics Olympiad and in 2014 he received the Ars Legendi Faculty award for excellent teaching, a national prize awarded in Germany, for developing the course on which this book is based.

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