Challenging Problems in Geometry

Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 9780486134864
Release Date: 2012-04-30
Genre: Mathematics

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
Publisher: Courier Corporation
ISBN: 9780486131542
Release Date: 2012-05-04
Genre: Mathematics

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: 9780486137636
Release Date: 2012-05-11
Genre: Science

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: 9780486265308
Release Date: 1990
Genre: Mathematics

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: 9780486154985
Release Date: 2013-01-08
Genre: Mathematics

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.

College Geometry

Author: Nathan Altshiller-Court
Publisher: Courier Corporation
ISBN: 9780486141374
Release Date: 2012-06-29
Genre: Mathematics

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.

Problems and Solutions in Euclidean Geometry

Author: M. N. Aref
Publisher: Courier Corporation
ISBN: 9780486477206
Release Date: 2010
Genre: Mathematics

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.

The Stanford Mathematics Problem Book

Author: George Polya
Publisher: Courier Corporation
ISBN: 9780486318325
Release Date: 2013-04-09
Genre: Mathematics

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.

Challenging Math Problems

Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 9780486808574
Release Date: 2015-10-21
Genre: Mathematics

"Fun and highly formidable math problems and puzzles from noted puzzle creator Terry Stickels." — Window on Resources Two friends wish to meet for breakfast twice a month throughout the year. In how many ways can they choose those two days so that they never meet on consecutive days? You want to measure 30 seconds and you have two pieces of string, each of which burns for 40 seconds. How can you accomplish this without bending, folding, or cutting the strings? A positive whole number is divisible by 3 and also by 5. When the number is divided by 7, the remainder is 5. What is the smallest number that could work? These are but a few of this book's assembly of the most challenging puzzles imaginable ― and they require no background in higher math, just good thinking skills. Terry Stickels, a well-known puzzle-maker, has compiled 101 of some of the best and most entertaining problems ever published. All of the challenges, which range from probability puzzles to dice games, have two things in common: each offers the "Aha!" moment of discovery that puzzle-solvers love, and they're all fun. Complete solutions for all puzzles explain every detail.

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller
Publisher: Courier Corporation
ISBN: 9780486134963
Release Date: 2012-04-26
Genre: Mathematics

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.

The Green Book of Mathematical Problems

Author: Kenneth Hardy
Publisher: Courier Corporation
ISBN: 9780486169453
Release Date: 2013-11-26
Genre: Mathematics

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 Mathematical Problems with Elementary Solutions

Author: A. M. Yaglom
Publisher: Courier Corporation
ISBN: 9780486318578
Release Date: 2013-04-26
Genre: Mathematics

Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete solutions.

The USSR Olympiad Problem Book

Author: D. O. Shklarsky
Publisher: Courier Corporation
ISBN: 9780486319865
Release Date: 2013-04-15
Genre: Mathematics

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.

The Secrets of Triangles

Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 9781616145880
Release Date: 2012-08-28
Genre: Mathematics

Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.

Ingenious Mathematical Problems and Methods

Author: Louis A. Graham
Publisher: Courier Corporation
ISBN: 9780486282930
Release Date: 2013-04-10
Genre: Mathematics

Collection of 100 of the best submissions to a math puzzle column features problems in engineering situations, logic, number theory, and geometry. Most solutions include details of several different methods.