A Mathematical Mosaic: Patterns & Problem Solving
by Ravi Vakil
||Some of the favorite problem solving strategies of one of the world's most accomplished Mathematics Olympiad Winners. A unique collection of problems, solutions, and problem solving tips in the fields of Number Theory, Combinatorics, The Fibonacci Sequence, Game Theory, Geometry, Chessboard Colorings, Complex Numbers, and more. This book is excellent for teachers seeking to challenge their best students, and for students preparing for mathematics competitions. In this book, Vakil profiles seven other mathematics olympiad winners including Noam Elkies, the youngest professor to receive tenure at Harvard. The style is informal, friendly, and often humorous. You will find this book an invaluable source of enrichment problems and ideas.
What the reviewers say
- Andre Toom from The American Mathematical Monthly, Jan. 1998
- "This is a book I would like to have read as a boy."
- "[The book] speaks in an interesting and understandable way about number theory, combinatorics, game theory, geometry, and calculus, to say nothing about magic tricks, puzzles and other digressions."
- John Cocharo from The Mathematics Teacher 89(1996)
- "Ravi Vakil has put together a collection of wonderful topics from number theory through combinatorics to game theory in a fashion that seventh- and eighth-grade students can handle yet high school students will find challenging."
- "Without a doubt, this book is a must for any library, teacher's reference, or student's amusement."
- John Zhu from Amazon.com
- "The author presents these fascinating topics in such a lucid and insightful manner, that one becomes easily engrossed."
- "It is a great book for the talented math reader, and students who want to explore some mathematics outside the general curriculum."
- Jim Totten from Crux Mathematicorum with Mathematical Mayhem 23(1997)334-335
- "It is certainly a problem book, but it is much more than that. The author at one moment guides the reader through some very nice mathematical developments, and throws out problems as they crop up in the development, and in the next moment uses a problem as a starting point for some interesting mathematical development."
- "The problems range from puzzles that elementary school children can do to problems that provide training for Putnam candidates."
- Jason Sanders from Amazon.com
- "Vakil is an engaging and sensitive writer who engages the reader."
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accesses since March 2006