2017;
64 pp;
Softcover

MSC: Primary 97;

Print ISBN: 978-1-4704-4159-3

Product Code: MBK/111

List Price: $25.00

AMS Member Price: $20.00

MAA Member Price: $22.50

**Electronic ISBN: 978-1-4704-4274-3
Product Code: MBK/111.E**

List Price: $25.00

AMS Member Price: $20.00

MAA Member Price: $22.50

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#### Supplemental Materials

# A Mathematical Gallery

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*Lisl Gaal*

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.

#### Readership

Anyone (from ages 13–99) interested in math and the imagination.

#### Reviews & Endorsements

The book is well written and easy to follow. The mathematics is easily accessible to a variety of readers. The highlight of the book is how the use of a simple illustration can jump start the imagination and provide a basis for the mathematical concepts. I would recommend this book to anyone interested in recreational mathematics.

-- Douglas Puharic, Mathematics Teacher

The art is colorful and whimsical. Merry-go-rounds, fruit stands, dogs, and more are used to clarify the complex plane, Markov chains, generalized approaches to volume, and concepts up to basic calculus. Each chapter is an overview illustration supported by a few pages of text and additional figures. The material is ready for the reader seeking introduction to these ideas without rigor, or as classroom capsules to enliven presentation to high school and first-year college audiences.

-- Tom Schulte, MAA Reviews

#### Table of Contents

# Table of Contents

## A Mathematical Gallery

- Contents v6
- Editor’s Preface vii8
- Author’s Preface ix10
- 1. Counting 112
- 2. The Pythagorean Theorem 516
- 3. The Volume of a Pyramid 920
- 4. The Area of a Circle 1324
- 5. Archimedes’s Proof for the Volume of a Sphere 1728
- 6. Pascal’s Triangle 2132
- 7. Gaussian Integers 2536
- 8. Permutations 2940
- 9. The Mathematics of Probability and Markov Processes 3344
- 10. Desargue’s Theorem 3748
- 11. Seven Circle Theorem 4152
- 12. Calculus 4354
- 13. Multiplying Ordinals 4758
- A Daughter’s Perspective 5162
- About the Author 5364