A Mathematical Gallery

Author： Lisl Gaal

Publisher： American Mathematical Society‎

Publication year： 2017

E-ISBN: 9781470442743

P-ISBN(Paperback): 9781470441593

Subject： O1 Mathematics

Keyword：暂无分类

Language： ENG

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A Mathematical Gallery

Description

Embark on a playful mathematical tour, aided by Lisl Gaal's illustrations of familiar scenes and whimsical triggers for the imagination. Along the way, find fruit stands arranged using polynomial multiplication, checkerboard tablecloths sewed with patterns of primes in a two-dimensional number system, and deceptive cats revealing that simple counting is not always so simple. Grasping the mathematics in this book requires only a basic background in algebra and geometry, so while the ideas can be understood and enjoyed at a variety of levels, it is recommended for ages 13–99. Touching on topics in current research, this is a book to read and revisit, gaining new insights each time.

Chapter

Contents

Editor’s Preface

Author’s Preface

1. Counting

2. The Pythagorean Theorem

3. The Volume of a Pyramid

4. The Area of a Circle

5. Archimedes’s Proof for the Volume of a Sphere

6. Pascal’s Triangle

7. Gaussian Integers

8. Permutations

9. The Mathematics of Probability and Markov Processes

10. Desargue’s Theorem

11. Seven Circle Theorem

12. Calculus

13. Multiplying Ordinals

A Daughter’s Perspective

About the Author

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