How to Solve Mathematical Problems

Author: Wayne A. Wickelgren
Publisher: Courier Corporation
ISBN: 9780486152684
Release Date: 2012-04-19
Genre: Science

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.

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.

The Red Book of Mathematical Problems

Author: Kenneth S. Williams
Publisher: Courier Corporation
ISBN: 9780486151823
Release Date: 2012-06-29
Genre: Mathematics

Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition.

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.

Problem Solving Through Recreational Mathematics

Author: Bonnie Averbach
Publisher: Courier Corporation
ISBN: 9780486131740
Release Date: 2012-03-15
Genre: Mathematics

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.

Mathematical Quickies

Author: Charles W. Trigg
Publisher: Courier Corporation
ISBN: 0486249492
Release Date: 1985
Genre: Games

For the mathematics enthusiast of any age or level of sophisitcation, this stimulating treasury of unusual math problems offers unlimited opportunity for mind-biggling recreation. Carles W. Trigg, Dean Emeritus and Professor Emeritus at Los Angeles City College and one of the country's best-known problemists, has compiled nearly 300 mathematical brainteasers from the field of of arithmetic, algebra, plane and solid geometry, trigonometry, number theory, and such general recreational mathematics and dissections, cryptarithms and magic squares. The object of each problem is to find the quickest, most elegant solution - they are often unorthodox and there is usually and element of surprise in each. Ranging from the simple to complex, problems are both original with the author and the work of over 100 other qualified mathematicians. Most are rarely seen or entirely new; all challenge the reader to devise solutions more elegant than the ones provided.

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.

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.

The Nuts and Bolts of Proofs

Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 9780123822178
Release Date: 2012
Genre: Mathematics

The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. New chapter on proof by contradiction New updated proofs A full range of accessible proofs Symbols indicating level of difficulty help students understand whether a problem is based on calculus or linear algebra Basic terminology list with definitions at the beginning of the text

Space Mathematics

Author: Bernice Kastner
Publisher: Courier Corporation
ISBN: 9780486320830
Release Date: 2013-10-17
Genre: Science

Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.

Mathematical Puzzles

Author: Samuel Loyd
Publisher: Courier Corporation
ISBN: 0486204987
Release Date: 1959
Genre: Games

Choice puzzles by one of America's most ingenious creators of mathematical entertainments, ranging from simple exercises in arithmetic to complex calculus problems

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.

First Steps for Math Olympians

Author: J. Douglas Faires
Publisher: MAA
ISBN: 088385824X
Release Date: 2006-12-21
Genre: Mathematics

Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

How to Solve Applied Mathematics Problems

Author: B. L. Moiseiwitsch
Publisher: Courier Corporation
ISBN: 9780486285221
Release Date: 2013-04-10
Genre: Mathematics

This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 edition.

100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie
Publisher: Courier Corporation
ISBN: 9780486318479
Release Date: 2013-04-09
Genre: Mathematics

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.