The Stanford Mathematics Problem Book

Author: George Polya
Publisher: Courier Corporation
ISBN: 048631832X
Format: PDF, ePub
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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, ePub, Docs
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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, ePub, 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.

100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie
Publisher: Courier Corporation
ISBN: 0486318478
Format: PDF, Kindle
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Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller
Publisher: Courier Corporation
ISBN: 0486134962
Format: PDF, ePub
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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.

Problem Solving Through Recreational Mathematics

Author: Bonnie Averbach
Publisher: Courier Corporation
ISBN: 0486131742
Format: PDF, ePub
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Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.

The USSR Olympiad Problem Book

Author: D. O. Shklarsky
Publisher: Courier Corporation
ISBN: 0486319865
Format: PDF, Mobi
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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.

Problems and Solutions in Mathematics

Author: Ji-Xiu Chen
Publisher: World Scientific
ISBN: 9814304964
Format: PDF, Mobi
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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 mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.