Problem-Solving Strategies

Problem-Solving Strategies
Title Problem-Solving Strategies PDF eBook
Author Arthur Engel
Publisher Springer Science & Business Media
Pages 404
Release 2008-01-19
Genre Mathematics
ISBN 0387226419

Download Problem-Solving Strategies Book in PDF, Epub and Kindle

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.




Problem-Solving Through Problems

Problem-Solving Through Problems
Title Problem-Solving Through Problems PDF eBook
Author Loren C. Larson
Publisher Springer Science & Business Media
Pages 322
Release 2012-12-06
Genre Mathematics
ISBN 1461254981

Download Problem-Solving Through Problems Book in PDF, Epub and Kindle

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.




Problem-Solving Strategies in Mathematics

Problem-Solving Strategies in Mathematics
Title Problem-Solving Strategies in Mathematics PDF eBook
Author Alfred S Posamentier
Publisher World Scientific Publishing Company
Pages 188
Release 2015-03-05
Genre Mathematics
ISBN 9814651656

Download Problem-Solving Strategies in Mathematics Book in PDF, Epub and Kindle

This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.




Winning Solutions

Winning Solutions
Title Winning Solutions PDF eBook
Author Edward Lozansky
Publisher Springer Science & Business Media
Pages 253
Release 2012-12-06
Genre Mathematics
ISBN 1461240344

Download Winning Solutions Book in PDF, Epub and Kindle

This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.




Strategy Games to Enhance Problem-Solving Ability in Mathematics

Strategy Games to Enhance Problem-Solving Ability in Mathematics
Title Strategy Games to Enhance Problem-Solving Ability in Mathematics PDF eBook
Author Alfred S Posamentier
Publisher World Scientific
Pages 136
Release 2016-11-11
Genre Mathematics
ISBN 9813146362

Download Strategy Games to Enhance Problem-Solving Ability in Mathematics Book in PDF, Epub and Kindle

Games are seen only for recreation. However, this book shows that games can be used to strengthen problem-solving skills and beyond. This book presents strategy games and discusses for each one solutions towards a winning position in the game. In most cases, these strategies are analogous to problem-solving strategies in mathematics. Readers are also exposed to a wide variety of games from several different cultures, which will broaden the perspective of the readers.




A Problem Seminar

A Problem Seminar
Title A Problem Seminar PDF eBook
Author D.J. Newman
Publisher Springer Science & Business Media
Pages 118
Release 2012-12-06
Genre Mathematics
ISBN 1461382149

Download A Problem Seminar Book in PDF, Epub and Kindle

There was once a bumper sticker that read, "Remember the good old days when air was clean and sex was dirty?" Indeed, some of us are old enough to remember not only those good old days, but even the days when Math was/un(!), not the ponderous THEOREM, PROOF, THEOREM, PROOF, . . . , but the whimsical, "I've got a good prob lem. " Why did the mood change? What misguided educational philoso phy transformed graduate mathematics from a passionate activity to a form of passive scholarship? In less sentimental terms, why have the graduate schools dropped the Problem Seminar? We therefore offer "A Problem Seminar" to those students who haven't enjoyed the fun and games of problem solving. CONTENTS Preface v Format I Problems 3 Estimation Theory 11 Generating Functions 17 Limits of Integrals 19 Expectations 21 Prime Factors 23 Category Arguments 25 Convexity 27 Hints 29 Solutions 41 FORMAT This book has three parts: first, the list of problems, briefly punctuated by some descriptive pages; second, a list of hints, which are merely meant as words to the (very) wise; and third, the (almost) complete solutions. Thus, the problems can be viewed on any of three levels: as somewhat difficult challenges (without the hints), as more routine problems (with the hints), or as a textbook on "how to solve it" (when the solutions are read). Of course it is our hope that the book can be enjoyed on any of these three levels.




Pell’s Equation

Pell’s Equation
Title Pell’s Equation PDF eBook
Author Edward J. Barbeau
Publisher Springer Science & Business Media
Pages 220
Release 2006-05-04
Genre Mathematics
ISBN 0387226028

Download Pell’s Equation Book in PDF, Epub and Kindle

Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject.