Solving Mathematical Problems

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.

Author: Terence Tao

Publisher: OUP Oxford

ISBN: 9780199205615

Category: Mathematics

Page: 103

View: 481

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 of14 years and above in pure mathematics.
Categories: Mathematics

Mathematical Problem Solving

Mathematical Problem Solving

Author: Berinderjeet Kaur

Publisher: World Scientific

ISBN: 9789814277211

Category: Mathematics

Page: 278

View: 811

Categories: Mathematics

Principles of Mathematical Problem Solving

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.

Author: Martin J. Erickson

Publisher: Pearson College Division

ISBN: 013096445X

Category: Mathematics

Page: 252

View: 196

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.
Categories: Mathematics

What s Your Problem

What s Your Problem

This book contains material that will help any primary-grade teacher improve the problem-solving section of the mathematics program.

Author: Penny Skinner

Publisher: Heinemann

ISBN: UOM:49015001275214

Category: Education

Page: 128

View: 427

This book contains material that will help any primary-grade teacher improve the problem-solving section of the mathematics program.
Categories: Education

Posing and Solving Mathematical Problems

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.

Author: Patricio Felmer

Publisher: Springer

ISBN: 9783319280233

Category: Education

Page: 402

View: 547

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.
Categories: Education

Methods for Solving Mathematical Physics Problems

Methods for Solving Mathematical Physics Problems

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, ...

Author: V. I. Agoshkov

Publisher: Cambridge Int Science Publishing

ISBN: 9781904602057

Category: Science

Page: 320

View: 127

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.
Categories: Science

Problem Solving Strategies

Problem Solving Strategies

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

Author: Arthur Engel

Publisher: Springer Science & Business Media

ISBN: 9780387226415

Category: Mathematics

Page: 403

View: 356

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.
Categories: Mathematics

Famous Problems of Mathematics

Famous Problems of Mathematics

An examination of the problems which have perplexed mathematicians from antiquity surveys the development of this discipline

Author: Heinrich Tietze

Publisher:

ISBN: PSU:000029627370

Category: Mathematics

Page: 367

View: 753

An examination of the problems which have perplexed mathematicians from antiquity surveys the development of this discipline
Categories: Mathematics

Mathematics Problem Solving Challenges for Secondary School Students and Beyond

Mathematics Problem Solving Challenges for Secondary School Students and Beyond

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world.

Author: David Linker

Publisher: World Scientific

ISBN: 9789814730051

Category: Mathematics

Page: 196

View: 600

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels. Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond. Contents:Arithmetic and LogicAlgebraGeometryTrigonometryLogarithmsCountingNumber TheoryProbabilityFunctional Equations Readership: High school students, teachers and general public interested in exciting mathematics problems.
Categories: Mathematics

Youngsters Solving Mathematical Problems with Technology

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 ...

Author: Susana Carreira

Publisher: Springer

ISBN: 9783319249100

Category: Education

Page: 255

View: 985

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.
Categories: Education

The Art of Mathematical Problem Solving

The Art of Mathematical Problem Solving

Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems.

Author: Richard M. Beekman

Publisher: Lulu.com

ISBN: 9781329428904

Category:

Page: 266

View: 772

Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.
Categories:

Understanding Mathematics Through Problem Solving

Understanding Mathematics Through Problem Solving

This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership.

Author: Posamentier Alfred S

Publisher: World Scientific

ISBN: 9789814663694

Category: Mathematics

Page: 532

View: 853

This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.
Categories: Mathematics

Mathematics as Problem Solving

Mathematics as Problem Solving

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving.

Author: Alexander Soifer

Publisher: Springer Science & Business Media

ISBN: 9780387746463

Category: Mathematics

Page: 106

View: 944

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.
Categories: Mathematics

Solving Problems in Mathematical Analysis Part I

Solving Problems in Mathematical Analysis  Part I

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

Author: Tomasz Radożycki

Publisher: Springer Nature

ISBN: 9783030358440

Category:

Page:

View: 492

Categories:

How to Solve Mathematical Problems

How to Solve Mathematical Problems

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation.

Author: Wayne A. Wickelgren

Publisher: Courier Corporation

ISBN: 9780486152684

Category: Science

Page: 288

View: 885

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.
Categories: Science

Solving Applied Mathematical Problems with MATLAB

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

Author:

Publisher: CRC Press

ISBN: 1420082515

Category: Mathematics

Page: 446

View: 719

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.
Categories: Mathematics

The Hard Mathematical Olympiad Problems and Their Solutions

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.

Author: Steve Dinh

Publisher:

ISBN: 1463444907

Category: Mathematics

Page: 320

View: 161

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.
Categories: Mathematics

Exploring Mathematics

Exploring Mathematics

Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics.

Author: Daniel Grieser

Publisher: Springer

ISBN: 9783319903217

Category: Mathematics

Page: 298

View: 802

Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
Categories: Mathematics