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The art of problem solving. Volume 1, The basics

Author: Sandor Lehoczky; Richard Rusczyk
Publisher: Alpine, CA : AoPS, ©2006.
Edition/Format:   Print book : English : 7th edView all editions and formats
Database:WorldCat
Summary:
The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 1 is appropriate for  Read more...
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Genre/Form: Handbooks and manuals
Handbooks, manuals, etc
Document Type: Book
All Authors / Contributors: Sandor Lehoczky; Richard Rusczyk
ISBN: 0977304566 9780977304561 0977304574 9780977304578
OCLC Number: 76972213
Notes: Includes index.
Description: -4, 272 pages : illustrations ; 28 cm + 1 volume of Solutions manual (144 pages : illustrations ; 28 cm)
Contents: Exponents and logarithms --
Complex numbers --
Linear equations --
Proportions --
Using the integers --
Quadratic equations --
Special factorizations and clever manipulations --
What numbers really are --
An introduction to circles --
Angles --
Triangles, a.k.a. geometry --
Quadrilaterals --
Polygons --
Angle chasing --
Areas --
The power of coordinates --
Power of a point --
Three dimensional geometry --
Shifts, turns, flips, stretches, and squeezes --
A potpourri of geometry --
Functions --
Inequalities --
Operations and relations --
Sequences and series --
Learning to court --
Statistics and probability --
Sets --
Prove it --
Parting shots.
Other Titles: Art of problem solving.
Volume 1,
Basics : solutions manual.
Responsibility: Sandor Lehoczky, Richard Rusczyk.

Abstract:

The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book. Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual. - Publisher.

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