Solving Mathematical Problems

With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Solving Mathematical Problems

Author: Terence Tao

Publisher: OUP Oxford

ISBN: 0191568694

Page: 116

View: 908

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Principles of Mathematical Problem Solving

This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems.

Principles of Mathematical Problem Solving

Author: Martin J. Erickson

Publisher: Pearson College Division

ISBN: 9780130964458

Page: 252

View: 699

This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by numerous exercises and their solutions. Principles of Mathematical Problem Solving introduces and explains specific problem-solving methods (with examples), and gives a set of exercises and complete solutions for each method. The idea is that by studying the principles and applying them to the exercises, the reader will gain problem-solving ability as well as general mathematical insight. Eventually, the reader should be able to produce results that have "the whole air of intuition." Organized according to specific techniques in separate chapters, techniques include induction and the pigeonhole principle, among others. Arranged in order of increasing difficulty, the book presents a wide variety of problem sets designed to illustrate significant mathematical ideas. Each chapter also includes a moderate amount of the "theory" behind each problem-solving principle it presents. An essential resource for every student of mathematics and every professional who needs to solve mathematical problems.

Problem Solving Strategies

Equally, this is a must-have for individuals interested in solving difficult and challenging problems.

Problem Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

ISBN: 0387226419

Page: 403

View: 699

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.

Methods for Solving Mathematical Physics Problems

The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case.

Methods for Solving Mathematical Physics Problems

Author: V. I. Agoshkov

Publisher: Cambridge Int Science Publishing

ISBN: 1904602053

Page: 320

View: 613

The book examines the classic and generally accepted methods for solving mathematical physics problems (method of the potential theory, the eigenfunction method, integral transformation methods, discretisation characterisation methods, splitting methods). A separate chapter is devoted to methods for solving nonlinear equations. The book offers a large number of examples of how these methods are applied to the solution of specific mathematical physics problems, applied in the areas of science and social activities, such as energy, environmental protection, hydrodynamics, theory of elasticity, etc.

Problem Solving

Presents fifty mathematical puzzles and problems, encouraging readers to think analytically about mathematical problems.

Problem Solving

Author: Thomas Canavan

Publisher: The Rosen Publishing Group, Inc

ISBN: 1448866758

Page: 48

View: 289

Presents fifty mathematical puzzles and problems, encouraging readers to think analytically about mathematical problems.

Solving Applied Mathematical Problems with MATLAB

The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experi

Solving Applied Mathematical Problems with MATLAB

Author:

Publisher: CRC Press

ISBN: 9781420082517

Page: 446

View: 616

This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB®. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experience. They explain how to generate code suitable for various applications so that readers can apply the techniques to problems not covered in the book. Examples, figures, and MATLAB scripts enable readers with basic mathematics knowledge to solve various applied math problems in their fields while avoiding unnecessary technical details.

Posing and Solving Mathematical Problems

The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively. This book collects recent research on posing and solving mathematical problems.

Posing and Solving Mathematical Problems

Author: Patricio Felmer

Publisher: Springer

ISBN: 9783319280219

Page: 402

View: 178

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Youngsters Solving Mathematical Problems with Technology

Abstract Given that solving mathematical problems entails developing ways of
thinking and expressing thoughts about challenging situations where a
mathematical approach is appropriate, this chapter unveils a theoretical
framework that ...

Youngsters Solving Mathematical Problems with Technology

Author: Susana Carreira

Publisher: Springer

ISBN: 331924910X

Page: 255

View: 825

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the [email protected] project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.

Solving Problems in Mathematical Analysis Part I

Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems.

Solving Problems in Mathematical Analysis  Part I

Author: Tomasz Radożycki

Publisher: Springer Nature

ISBN: 3030358445

Page: 369

View: 645

This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.

Making Mathematics Practical

This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book.

Making Mathematics Practical

Author: Tin Lam Toh

Publisher: World Scientific

ISBN: 9814355003

Page: 155

View: 950

This book is the first of its kind, as it includes both mathematics content and pedagogy. It is a professional instructional manual on how mathematical problem solving curriculum can be implemented in the classrooms. The book develops from the theoretical work of Polya and Schoenfeld, and explicates how these can be translated to the actual implementation in schools. It represents the work of a group of researchers from the Singapore National Institute of Education, after experimenting with it in the Singapore school classrooms. This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book. In addition, the book includes an assessment framework on how mathematical problem solving can be assessed.

The Hard Mathematical Olympiad Problems and Their Solutions

The approaches in the book build understanding and not just methods in solving problems. This book is a must read for many math students and is useful for many teachers around the world.

The Hard Mathematical Olympiad Problems and Their Solutions

Author: Steve Dinh

Publisher:

ISBN: 9781463444907

Page: 320

View: 808

This book shows the approaches to solving many difficult Mathematical Olympiad and other international problems posted at the www.mathlinks.ro, the largest mathematical webpage that has most of the problems used to select the talented students of the world. At the time of this book's publication, the solutions to many of these problems are not yet available. This book is not only as much about methods of solving mathematical problems as it is about various approaches to solving the difficult problems in general. It is a first step in examining the creativity that goes into problem-solving. The real points of the book are the enumeration of problem-solving strategies and the tricks applied to solve the problems. The approaches in the book build understanding and not just methods in solving problems. This book is a must read for many math students and is useful for many teachers around the world.

Affect and Mathematical Problem Solving

The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving.

Affect and Mathematical Problem Solving

Author: Douglas B. McLeod

Publisher: Springer Science & Business Media

ISBN: 1461236142

Page: 268

View: 629

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.

Teaching and Learning Mathematical Problem Solving

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study.

Teaching and Learning Mathematical Problem Solving

Author: Edward A. Silver

Publisher: Routledge

ISBN: 1136561234

Page: 484

View: 239

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

The Green Book of Mathematical Problems

This handy volume offers a rich selection of 100 problems--with hints and solutions-- specially chosen to aid students preparing for the William Lowell Putnam and other undergraduate mathematical competitions.

The Green Book of Mathematical Problems

Author: Kenneth Hardy

Publisher: Courier Corporation

ISBN: 0486695735

Page: 173

View: 890

Popular selection of 100 practice problems — with hints and solutions — for students preparing for undergraduate-level math competitions. Subjects range from multivariate integration to finite series to infinite sums and classical analysis. Includes questions drawn from geometry, group theory, and linear algebra, plus brainteasers dealing with real numbers, differential equations, integrals, polynomials, sets, and more.

The Stanford Mathematics Problem Book

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 Stanford Mathematics Problem Book

Author: George Pólya

Publisher: Courier Corporation

ISBN: 0486469247

Page: 68

View: 757

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

Problems suggested by a variety of sources: Crux Mathematicorum, Mathematics Magazine, The American Mathematical Monthly and others. Preface to the First Edition. Sources. 1988 edition.

The Red Book of Mathematical Problems

Author: Kenneth S. Williams

Publisher: Courier Corporation

ISBN: 9780486694153

Page: 174

View: 277

Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Problems suggested by a variety of sources: Crux Mathematicorum, Mathematics Magazine, The American Mathematical Monthly and others. Preface to the First Edition. Sources. 1988 edition.

Challenging Problems in Algebra

Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more.

Challenging Problems in Algebra

Author: Alfred S. Posamentier

Publisher: Courier Corporation

ISBN: 9780486691480

Page: 262

View: 283

Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided.

Conversational Problem Solving

This book features mathematical problems and results that would be of interest to all mathematicians, but especially undergraduates (and even high school students) who participate in mathematical competitions such as the International Math ...

Conversational Problem Solving

Author: Richard P. Stanley

Publisher: American Mathematical Soc.

ISBN: 1470456354

Page: 178

View: 289

This book features mathematical problems and results that would be of interest to all mathematicians, but especially undergraduates (and even high school students) who participate in mathematical competitions such as the International Math Olympiads and Putnam Competition. The format is a dialogue between a professor and eight students in a summer problem solving camp and allows for a conversational approach to the problems as well as some mathematical humor and a few nonmathematical digressions. The problems have been selected for their entertainment value, elegance, trickiness, and unexpectedness, and have a wide range of difficulty, from trivial to horrendous. They range over a wide variety of topics including combinatorics, algebra, probability, geometry, and set theory. Most of the problems have not appeared before in a problem or expository format. A Notes section at the end of the book gives historical information and references.