The Stanford Mathematics Problem Book

Author: George Polya
Publisher: Courier Corporation
ISBN: 048631832X
Format: PDF, Kindle
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Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

The Green Book of Mathematical Problems

Author: Kenneth Hardy
Publisher: Courier Corporation
ISBN: 0486169456
Format: PDF, Mobi
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Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

Challenging Problems in Algebra

Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486131548
Format: PDF, Docs
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Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

The USSR Olympiad Problem Book

Author: D. O. Shklarsky
Publisher: Courier Corporation
ISBN: 0486319865
Format: PDF, ePub
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Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.

Famous Problems of Geometry and How to Solve Them

Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Format: PDF, Mobi
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

Winning Solutions

Author: Edward Lozansky
Publisher: Springer Science & Business Media
ISBN: 1461240344
Format: PDF, ePub, Mobi
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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.

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller
Publisher: Courier Corporation
ISBN: 0486134962
Format: PDF, Mobi
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Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

Problems and Solutions in Mathematics

Author: Ji-Xiu Chen
Publisher: World Scientific
ISBN: 9789810234799
Format: PDF, Docs
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This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The problems cover six aspects of graduate school mathematics: Algebra, Differential Geometry, Topology, Real Analysis, Complex Analysis and Partial Differential Equations. The depth of knowledge involved is not beyond the contents of the textbooks for graduate students, while solution of the problems requires deep understanding of the mathematical principles and skilled techniques. For students this book is a valuable complement to textbooks; for lecturers teaching graduate school mathematics, a helpful reference.

My Best Mathematical and Logic Puzzles

Author: Martin Gardner
Publisher: Courier Corporation
ISBN: 0486281523
Format: PDF, ePub, Mobi
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The noted expert and longtime author of Scientific American's Mathematical Games column selects 70 of his favorite "short" puzzles. Enthusiasts can challenge their skills with such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, Bronx vs. Brooklyn, and dozens more involving logic and basic math. Complete solutions included.