Winning Solutions (Problem Books in Mathematics) | 
 enlarge | Authors: Edward Lozansky, Cecil Rousseau
Publisher: Springer
Category: Book
List Price: $54.95
Buy New: $40.75
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Rating:  2 reviews
Sales Rank: 744640
Media: Paperback
Edition: 1
Pages: 260
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 9.1 x 6.1 x 0.7
ISBN: 0387947434
Dewey Decimal Number: 510.76
EAN: 9780387947433
Publication Date: September 6, 1996
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Condition: Brand New. International Shipping Available
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Product Description
This book is intended to provide students with the appropriate mathematical tools and problem-solving experience to successfully compete in high-level problem solving competitions. In each section, the authors attempt to "fill in" the appropriate background and then provide the student with a variety of worked examples and exercises to help bridge the gap between what he or she may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises. The book makes an attempt to introduce each area "gently" assuming little in the way of prior background - and teach the appropriate techniques, rather than simply providing a compilation of high-level problems.
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| Customer Reviews:
 Excellent Book on Problem Solving July 10, 2001
7 out of 8 found this review helpful
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.
 Well thought out, though at times hard to follow August 16, 1997
10 out of 12 found this review helpful
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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