**Mathematical World**

Volume: 5;
1996;
102 pp;
Softcover

MSC: Primary 20; 51;

Print ISBN: 978-0-8218-0450-6

Product Code: MAWRLD/5

List Price: $25.00

Individual Member Price: $20.00

**Electronic ISBN: 978-1-4704-1190-9
Product Code: MAWRLD/5.E**

List Price: $25.00

Individual Member Price: $20.00

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# Groups and Symmetry: A Guide to Discovering Mathematics

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*David W. Farmer*

In most mathematics textbooks, the most exciting part
of mathematics—the process of invention and
discovery—is completely hidden from the reader. The aim of

Suitable for a one-semester course at the beginning
undergraduate level, there are no prerequisites for understanding the
text. Any college student interested in discovering the beauty of
mathematics will enjoy a course taught from this book. The book has also
been used successfully with nonscience students who want to fulfill
a science requirement.

Also available from the AMS by David W. Farmer is
Knots and Surfaces: A Guide to
Discovering Mathematics.

#### Table of Contents

# Table of Contents

## Groups and Symmetry: A Guide to Discovering Mathematics

- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Table of Contents v6 free
- Chapter 1. Squares, Hexagons, and Triangles 110 free
- Chapter 2. The Rigid Motions of the Plane 1524
- Chapter 3. Finite Figures 2736
- Chapter 4. Strip Patterns 3948
- Chapter 5. Wallpatterns 4352
- Chapter 6. Finite Groups 5968
- Chapter 7. Cayley Diagrams 7382
- Chapter 8. Symmetry in the Real World 8796
- Bibliography 99108
- Index 101110 free
- Back Cover Back Cover1112

#### Readership

Undergraduate students, graduate students, and research mathematicians interested in an introduction to modern areas of mathematics.

#### Reviews

Nicely produced and concentrates on the informal analysis of geometrical patterns with the emphasis on informality … could serve as a useful collection of activities to precede a formal course and would provide a range of intuitive experiences to which the more formal treatment could refer.

-- The Mathematical Gazette

On the basis of this book it is possible to tailor a good course for high school students to really discover mathematics … for anyone who is working with high school students in an advanced level the book is really recommended.

-- Zentralblatt MATH

Written in a lively conversational style … entertaining, and sometimes provoking, and will doubtlessly prove useful to its intended audience.

-- Mathematical Reviews