Softcover ISBN:  9780821804506 
Product Code:  MAWRLD/5 
102 pp 
List Price:  $27.00 
MAA Member Price:  $24.30 
AMS Member Price:  $21.60 
Electronic ISBN:  9781470411909 
Product Code:  MAWRLD/5.E 
102 pp 
List Price:  $25.00 
MAA Member Price:  $22.50 
AMS Member Price:  $20.00 

Book DetailsMathematical WorldVolume: 5; 1996MSC: Primary 20; 51;
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
Groups and Symmetry is to change all that. By means of a series of carefully selected tasks, this book leads readers to discover some real mathematics. There are no formulas to memorize; no procedures to follow. The book is a guide: Its job is to start you in the right direction and to bring you back if you stray too far. Discovery is left to you.
Suitable for a onesemester 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.ReadershipUndergraduate students, graduate students, and research mathematicians interested in an introduction to modern areas of mathematics.

Table of Contents

Chapters

Chapter 1. Squares, hexagons, and triangles

Chapter 2. The rigid motions of the plan

Chapter 3. Finite figures

Chapter 4. Strip patterns

Chapter 5. Wallpatterns

Chapter 6. Finite groups

Chapter 7. Cayley diagrams

Chapter 8. Symmetry in the real world


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


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

Chapters

Chapter 1. Squares, hexagons, and triangles

Chapter 2. The rigid motions of the plan

Chapter 3. Finite figures

Chapter 4. Strip patterns

Chapter 5. Wallpatterns

Chapter 6. Finite groups

Chapter 7. Cayley diagrams

Chapter 8. Symmetry in the real world

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