Famous Problems of Geometry and How to Solve Them

Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Format: PDF
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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.

100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie
Publisher: Courier Corporation
ISBN: 0486318478
Format: PDF, Mobi
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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.

Excursions in Geometry

Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 0486265307
Format: PDF, ePub
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

Advanced Euclidean Geometry

Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Format: PDF, ePub, Docs
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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

The Stanford Mathematics Problem Book

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

Problems and Solutions in Euclidean Geometry

Author: M. N. Aref
Publisher: Courier Corporation
ISBN: 0486477207
Format: PDF, Docs
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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.

Geometry A Comprehensive Course

Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Format: PDF, Docs
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Challenging Problems in Geometry

Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486134865
Format: PDF, ePub
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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.

Mathematics and Chess

Author: Miodrag Petkovi?
Publisher: Courier Corporation
ISBN: 9780486294322
Format: PDF, ePub, Docs
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99 puzzles built around the chessboard. Arithmetical and probability problems, chessboard recreations, geometrical puzzles, mathematical amusements and games, more. Solutions.

One Hundred Problems in Elementary Mathematics

Author: Hugo Steinhaus
Publisher: Courier Dover Publications
ISBN: 0486811808
Format: PDF, ePub
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Both a challenge to mathematically inclined readers and a useful supplementary text for high school and college courses, One Hundred Problems in Elementary Mathematics presents an instructive, stimulating collection of problems. Many problems address such matters as numbers, equations, inequalities, points, polygons, circles, ellipses, space, polyhedra, and spheres. An equal number deal with more amusing or more practical subjects, such as a picnic ham, blood groups, rooks on a chessboard, and the doings of the ingenious Dr. Abracadabrus. Are the problems in this book really elementary? Perhaps not in the lay reader’s sense, for anyone who desires to solve these problems must know a fair amount of mathematics, up to calculus. Nevertheless, Professor Steinhaus has given complete, detailed solutions to every one of his 100 problems, and anyone who works through the solutions will painlessly learn an astonishing amount of mathematics. A final chapter provides a true test for the most proficient readers: 13 additional unsolved problems, including some for which the author himself does not know the solutions.