Challenging Problems in Geometry

Author: Alfred S. Posamentier,Charles T. Salkind

Publisher: Courier Corporation

ISBN: 0486134865

Category: Mathematics

Page: 256

View: 8861

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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.

Challenging Problems in Algebra

Author: Alfred S. Posamentier,Charles T. Salkind

Publisher: Courier Corporation

ISBN: 0486131548

Category: Mathematics

Page: 288

View: 8946

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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.

Famous Problems of Geometry and How to Solve Them

Author: Benjamin Bold

Publisher: Courier Corporation

ISBN: 0486137635

Category: Science

Page: 144

View: 9730

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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.

Excursions in Geometry

Author: Charles Stanley Ogilvy

Publisher: Courier Corporation

ISBN: 0486265307

Category: Mathematics

Page: 178

View: 4101

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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.

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller

Publisher: Courier Corporation

ISBN: 0486134962

Category: Mathematics

Page: 88

View: 3159

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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.

Advanced Euclidean Geometry

Author: Roger A. Johnson

Publisher: Courier Corporation

ISBN: 048615498X

Category: Mathematics

Page: 336

View: 1908

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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.

Problems and Solutions in Euclidean Geometry

Author: M. N. Aref,William Wernick

Publisher: Courier Corporation

ISBN: 0486477207

Category: Mathematics

Page: 258

View: 2104

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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.

College Geometry

An Introduction to the Modern Geometry of the Triangle and the Circle

Author: Nathan Altshiller-Court

Publisher: Courier Corporation

ISBN: 0486141373

Category: Mathematics

Page: 336

View: 2420

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The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.

The Stanford Mathematics Problem Book

With Hints and Solutions

Author: George Polya,Jeremy Kilpatrick

Publisher: Courier Corporation

ISBN: 048631832X

Category: Mathematics

Page: 80

View: 5211

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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.

100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie

Publisher: Courier Corporation

ISBN: 0486318478

Category: Mathematics

Page: 416

View: 2722

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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 Number Theory

Author: Charles Stanley Ogilvy,John Timothy Anderson

Publisher: Courier Corporation

ISBN: 9780486257785

Category: Mathematics

Page: 168

View: 8137

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Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

The Green Book of Mathematical Problems

Author: Kenneth Hardy,Kenneth S. Williams

Publisher: Courier Corporation

ISBN: 0486169456

Category: Mathematics

Page: 184

View: 3976

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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 Math Problems

Author: Terry Stickels

Publisher: Courier Dover Publications

ISBN: 0486795535

Category: Mathematics

Page: 112

View: 1912

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This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.

Challenging Mathematical Problems with Elementary Solutions

Author: ?. ? ?????,Isaak Moiseevich I?Aglom,Basil Gordon

Publisher: Courier Corporation

ISBN: 0486655377

Category: Mathematics

Page: 214

View: 6222

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Volume II of a two-part series, this book features 74 problems from various branches of mathematics. Topics include points and lines, topology, convex polygons, theory of primes, and other subjects. Complete solutions.

The USSR Olympiad Problem Book

Selected Problems and Theorems of Elementary Mathematics

Author: D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom

Publisher: Courier Corporation

ISBN: 0486319865

Category: Mathematics

Page: 480

View: 7075

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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.

Geometry Through Problems

64 Challenging Problems with Illustrations

Author: Kenneth Peng

Publisher: Createspace Independent Publishing Platform

ISBN: 9781976079467

Category:

Page: 108

View: 7465

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Explore Euclidean geometry through 64 carefully selected problems and illustrations focusing on similar triangles, cyclic quadrilaterals, triangle centers, power of a point, dilations, and spiral similarity. Geometry Through Problems aims to introduce fascinating results in geometry while encouraging thinking and problem-solving. Every chapter consists of several problems - often presenting famous results. Each solution is challenging to find, but simple and elegant. The only tools needed are taught in a high school geometry class. The difficulty lies in figuring out how to use these tools. Solve these problems while being guided by numerous hints. This book can serve as a concise introduction to Olympiad-level geometry, as a supplement to a geometry class, or as an interesting read to anybody who enjoys problem-solving. Several famous and beautiful results covered include: - The Euler Line - The Nine Point Circle - The Miquel Point - Simson Lines - Napoleon's Theorem - The Radical Center - The Fermat Points - Apollonian Circles - The Isodyamic Points and many more ...

Problem-Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

ISBN: 0387226419

Category: Mathematics

Page: 403

View: 5150

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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

One Hundred Problems in Elementary Mathematics

Author: Hugo Steinhaus

Publisher: Courier Dover Publications

ISBN: 0486811808

Category: Mathematics

Page: 192

View: 7551

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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.

My Best Mathematical and Logic Puzzles

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486320324

Category: Games & Activities

Page: 96

View: 2692

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The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions.

Euclidean Geometry in Mathematical Olympiads

Author: Evan Chen

Publisher: The Mathematical Association of America

ISBN: 0883858398

Category: Mathematics

Page: 311

View: 824

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This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.