How to Solve Mathematical Problems

Author: Wayne A. Wickelgren

Publisher: Courier Corporation

ISBN: 0486152685

Category: Science

Page: 288

View: 3880

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

With Hints and Solutions

Author: George Polya,Jeremy Kilpatrick

Publisher: Courier Corporation

ISBN: 048631832X

Category: Mathematics

Page: 80

View: 9048

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.

An Introduction to Mathematical Modeling

Author: Edward A. Bender

Publisher: Courier Corporation

ISBN: 0486137120

Category: Mathematics

Page: 272

View: 6248

Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

The Nuts and Bolts of Proofs

An Introduction to Mathematical Proofs

Author: Antonella Cupillari

Publisher: Academic Press

ISBN: 0123822181

Category: Mathematics

Page: 296

View: 7184

The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and only-if, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book invaluable. Jumps right in with the needed vocabulary—gets students thinking like mathematicians from the beginning Offers a large variety of examples and problems with solutions for students to work through on their own Includes a collection of exercises without solutions to help instructors prepare assignments Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics

Recreations in the Theory of Numbers

The Queen of Mathematics Entertains

Author: Albert H. Beiler

Publisher: Courier Corporation

ISBN: 0486210960

Category: Games

Page: 349

View: 7684

Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.

Problem Solving Through Recreational Mathematics

Author: Bonnie Averbach,Orin Chein

Publisher: Courier Corporation

ISBN: 0486131742

Category: Mathematics

Page: 480

View: 3672

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.

Famous Problems of Geometry and How to Solve Them

Author: Benjamin Bold

Publisher: Courier Corporation

ISBN: 0486137635

Category: Science

Page: 144

View: 8607

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.

Ingenious Mathematical Problems and Methods

Author: Louis A. Graham

Publisher: Courier Corporation

ISBN: 0486282937

Category: Mathematics

Page: 246

View: 5613

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.

Counting and Configurations

Problems in Combinatorics, Arithmetic, and Geometry

Author: Jiri Herman,Radan Kucera,Jaromir Simsa

Publisher: Springer Science & Business Media

ISBN: 9780387955520

Category: Mathematics

Page: 392

View: 7593

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

Mathematical Quickies

270 Stimulating Problems with Solutions

Author: Charles W. Trigg

Publisher: Courier Corporation

ISBN: 9780486249490

Category: Games

Page: 210

View: 7807

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 Problems in Algebra

Author: Alfred S. Posamentier,Charles T. Salkind

Publisher: Courier Corporation

ISBN: 0486131548

Category: Mathematics

Page: 288

View: 4597

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.

How to Solve Applied Mathematics Problems

Author: B. L. Moiseiwitsch

Publisher: Courier Corporation

ISBN: 0486285227

Category: Mathematics

Page: 336

View: 7249

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.

Challenging Problems in Geometry

Author: Alfred S. Posamentier,Charles T. Salkind

Publisher: Courier Corporation

ISBN: 0486134865

Category: Mathematics

Page: 256

View: 6195

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 Mathematical Problems with Elementary Solutions

Author: A. M. Yaglom,I. M. Yaglom

Publisher: Courier Corporation

ISBN: 0486318575

Category: Mathematics

Page: 239

View: 1141

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.

Mathematical Puzzles

Author: Samuel Loyd,Martin Gardner

Publisher: Courier Corporation

ISBN: 9780486204987

Category: Games

Page: 167

View: 6928

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

Modern Mathematics for the Engineer: First Series

Author: Edwin F. Beckenbach,Royal Weller

Publisher: Courier Corporation

ISBN: 0486497461

Category: Technology & Engineering

Page: 514

View: 3342

This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.

Intriguing Mathematical Problems

Author: Oswald Jacoby,William H. Benson

Publisher: Courier Corporation

ISBN: 0486168360

Category: Science

Page: 208

View: 8296

Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

My Best Mathematical and Logic Puzzles

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486320324

Category: Games & Activities

Page: 96

View: 3375

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.

One Hundred Problems in Elementary Mathematics

Author: Hugo Steinhaus

Publisher: Courier Corporation

ISBN: 9780486238753

Category: Science

Page: 174

View: 8776

100 problems—with instructive solutions—on numbers, equations, polygons, polyhedra, and many other topics. Very challenging. Additional 13 problems without solutions.

First Steps for Math Olympians

Using the American Mathematics Competitions

Author: J. Douglas Faires

Publisher: MAA

ISBN: 9780883858240

Category: Mathematics

Page: 307

View: 4575

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