| View Larger Image | Problem Solving Through Problems | Paperbackby Loren C. Larson (Author)
| List Price: | $64.95 | | Price: | $55.52 | | You Save: | $9.43 (15%) | | | Available: | Usually ships in 24 hours |
| | Binding: | Paperback | | Publisher: | Springer | | Page Count: | 332 Pages | | Publication Date: | August 02, 1992 | | Sales Rank: | 103,996rd |
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ACCESSORIES |
| Problem-Solving Strategies (Problem Books in Mathematics)
by Arthur Engel (Author)
PROBLEM SOLVING STRATEGIES is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range...
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| The Heart of Mathematics: An invitation to effective thinking
by Edward B. Burger (Author), Michael Starbird (Author)
The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols. The authors are award-winning...
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| Agnesi to Zeno: Over 100 Vignettes from the History of Math
by Sanderson Smith (Author)
Beautifully Illustrated Activities Highlight Mathematical History These blackline activity masters highlight important achievements in the history of mathematics, from our earliest counting systems to modern developments in chaos theory. The book is beautifully illustrated with historical art. Its engaging vignettes introduce concepts, events, and influential mathematicians and show the contributions of the world's many cultures to the development of mathematics.
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EDITORIAL REVIEWS |
Product Description
This is a practical anthology of some of the best elementary problems in different branches of mathematics. They are selected for their aesthetic appeal as well as their instructional value, and are organized to highlight the most common problem-solving techniques encountered in undergraduate mathematics. Readers learn important principles and broad strategies for coping with the experience of solving problems, while tackling specific cases on their own. The material is classroom tested and has been found particularly helpful for students preparing for the Putnam exam. For easy reference, the problems are arranged by subject. |
CUSTOMER REVIEWS (Average Customer Rating: 5.0 based on 6 reviews)
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it is simply the best out there, look no where else. by Ahmed Gaafar (NJ)  5 Stars
January 02, 2007
i nearly owned all the books on problem solving because i just love it.
i rarely write book reviews but only for the excellent ones.
this book is a true gem, mathematical olympiad challenges is goos as well.
have fun.
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Problem Solving at its best! by Nihal Mehta (Plano, TX United States) 5 Stars
January 06, 2003
Finally, a book that develops problem solving techniques in a structured way for the Putnam. However, the techniques can be generally applicable to solve problems in many different areas.The power of using "first principles" to solve problems that at first sight seem almost impossible is brought out clearly. (Example, show that any sequence of consecutive integers is divisible by n!. Where does even start to solve such problems? The book shows you how.)You can read the book from the beginning to end, but a better way is to read it at random. Read the first chapter, though. It does a marvellous job of enumerating the different types of techniques. Enjoy this book. You'll be amazed at how simple ideas can lead to difficult problems.
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A stimulating book... 5 Stars
July 18, 2002
I dive inside the book. The organization by strategies is fine and ease the reading, the problems are challenging enough. If you are interessed in mathematics, student or not, buy it. You will not regret it.
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How can I have not given this 5 stars yet? by David E. Molnar (MN) 5 Stars
May 06, 2002
I would like to suggest that the audience for this book is somewhat broader than just the "all-star" math students. I will indeed use this book to help students preparing to take the Putnam exam this fall - it is the best book I have seen for this purpose. But in just the first two chapters, Larson presents strategies such as working backwards, modifying the problem, mathematical induction, and the pigeonhole principle, in a way which all math majors can benefit from. A graduating senior reported that once he started participating in math contests, his performance in ALL of his math classes improved. Problem solving unifies mathematical understanding. This student took the Putnam last fall (which, if you've got this far without knowing, is a six-hour national undergraduate mathematics competition taken by 3000 students in the US and Canada each year, approximately half of whom score zero) just to see what he could do, to gauge his improvement in mathematics. There isn't much more of a compliment a student could give me, intentional or otherwise.That can't all be attributed to this book, but it is that good. The presentation is unique; the organization - by strategy, rather than by year or whatever you see in other problem books - is illuminating by itself, and has improved my pedagogy; and he just makes hard problems look easy.Any student past the level of Linear Algebra who is up for a challenge will benefit from this book.
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Excellent source for problems and problem solving techniques 5 Stars
June 03, 2001
This book would be especially helpful for someone planning to compete in the Putnam Exam. Lots of example covering many topics in upper undergraduate maths and of course the classic "folklore" techniques, strategies, and tools of problem solving(e.g., pigeonhole, invariants, coloring proofs, etc.). This is more of an advanced book as compared to others aimed at Olympiad contestants. Nonetheless, it is an invaluable source for anyone interested in non-routine mathematics.
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SIMILAR PRODUCTS |
| Problem-Solving Strategies (Problem Books in Mathematics)
by Arthur Engel (Author)
PROBLEM SOLVING STRATEGIES is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range...
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| The Art and Craft of Problem Solving
by Paul Zeitz (Author)
The newly revised Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving. Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems.
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| Putnam and Beyond
by Razvan Gelca (Author), Titu Andreescu (Author)
Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for...
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| Mathematical Olympiad Challenges
by Titu Andreescu (Author), Razvan Gelca (Author)
This significantly revised and expanded second edition of "Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by...
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| 102 Combinatorial Problems
by Titu Andreescu (Author), Zuming Feng (Author)
"Combinatorial Problems" consists of 102 carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory,...
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