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Winning Solutions (Problem Books in Mathematics), by Edward Lozansky, Cecil Rousseau
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This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.
- Sales Rank: #1395080 in Books
- Published on: 2013-10-04
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .59" w x 6.10" l, .81 pounds
- Binding: Paperback
- 260 pages
Most helpful customer reviews
9 of 10 people found the following review helpful.
Excellent Book on Problem Solving
By A Customer
This is an awesome book on problem solving. While it is true that you should have a couple of seperate references to comprehend fully the mathematics the author uses, I'm sure it's because he assumes a working knowledge on much of the material (contrary to the preface that states that it is a transition from regular high school material---Well, this it is not!). Many exercises and Olympiad questions covering the material presented in each chapter are given. Hints and solutions to the exercises(but not Olympiad questions--whose answer you can find on many sites) are given. There are alot of interesting topics covered (numbers, combinatorics, algebra, induction, pigeonhole, etc) in ways that I hadn't seen them presented. This is an excellent buy for those interested in solving tough and interesting mathematics problems.
10 of 13 people found the following review helpful.
Well thought out, though at times hard to follow
By A Customer
This book traverses through many (though not all) of the subjects encountered in olympiad-style problems. One notable exception is the lack of geometry information.
The book is very much proof oriented. While this gives the problem solver deeper insight into the mathematics involved, some of the proofs are unessasarily hard to understand. Minor modifications would have made the author's logic more apparent.
Included problems well supplement the problem-solver, but require him to explore outside the bounds of what is explained in the text.
This book is definately not for the casual reader, but is a must for training high-school and early college students. Expect at least a semester of course work.
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