Synopses & Reviews
Welcome to Ian Stewart's strange and magical world of mathematics! Math Hysteria contains twenty quirky tales of mathematical exploration by one of the world's most popular writers on mathematics. Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including "Counting the Cattle of the Sun," "The Great Drain Robbery," and "Preposterous Piratical Predicaments." Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!
Synopsis
One of the world's most popular writers on mathematics presents a wealth of mathematical puzzles, each one spun around an amazing tale. 20 cartoons.
About the Author
Ian Stewart is Professor of Mathematics at Warwick University and the author of many books, including
Nature's Numbers and
From Here to Infinity: A Guide to Today's Mathematics. He writes the "Mathematical Recreations" column for
Scientific American.
Table of Contents
1. Rings
2. Euclidean rings
3. Highest common factor
4. The four-squares theorem
5. Fields and polynomials
6. Unique factorization domains
7. Field of quotients of an integral domain
8. Factorization of polynomials
9. Fields and field extensions
10. Finite cyclic groups and finite fields
11. Algebraic numbers
12. Ruler and Compass constructions
13. Homomorphisms, ideals and factor rings
14. Principal ideal domains and a method for constructing fields
15. Finite fields
Solutions to selected exercises
References