The Language of Mathematics: Utilizing Math in Practice [NOOK Book]

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Overview

This book explains how to formulate a mathematical model from an English description of a problem. It views mathematical notation as a language and develops the implications of this view for translating English text into mathematical expressions and mathematical models, i.e. for applying mathematics to problems described in English. By presenting the language of mathematics explicitly and systematically, this book helps everyone from engineers, technicians, and managers to students and teachers to learn ...
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The Language of Mathematics: Utilizing Math in Practice

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More About This Book

Overview

This book explains how to formulate a mathematical model from an English description of a problem. It views mathematical notation as a language and develops the implications of this view for translating English text into mathematical expressions and mathematical models, i.e. for applying mathematics to problems described in English. By presenting the language of mathematics explicitly and systematically, this book helps everyone from engineers, technicians, and managers to students and teachers to learn mathematics and improve their ability to apply mathematics beneficially in their own work.
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Editorial Reviews

From the Publisher

“This text presents a new and original point of view on mathematics that will be useful for simplifying applications of mathematics to practical problems by translating English statements of a problem into the Language of Mathematics. The reviewer shares the author's opinion that \this book will improve and increase the reader's insight into mathematics and how to utilize it in practice.” (Zentralblatt MATH, 2012)

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Product Details

  • ISBN-13: 9781118061763
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 9/9/2011
  • Sold by: Barnes & Noble
  • Format: eBook
  • Edition number: 1
  • Pages: 352
  • File size: 5 MB

Meet the Author

ROBERT LAURENCE BABER is Professor Emeritus in the Department of Computing and Software at McMaster University, Canada. A Fellow of the BCS, The Chartered Institute for IT, he has published numerous journal articles in his areas of research interest, which include mathematical modeling and the conception, planning, and design of computer-based systems for technical and business applications.

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Table of Contents

Preface.

Acknowledgements.

Part A. Introductory overview.

1. Introduction.

2. Preview: Some Statements in English and the Language of Mathematics.

Part B. Mathematics and its language.

3. Elements of the Language of Mathematics.

4. Important Structures and Concepts in the Language of Mathematics.

5. Solving Problems Mathematically.

Part C. English, the Language of Mathematics and translating between them.

6. Linguistic Characteristics of English and the Language of Mathematics.

7. Translating English to Mathematics.

8. Examples of Translating English to Mathematics.

Part D. Conclusion.

9. Summary.

Appendices.

Appendix A. Representing numbers.

Appendix B. Symbols on the Language of Mathematics.

Appendix C. Sets of numbers.

Appendix D. Special structures in mathematics.

Appendix E. Mathematical logic.

Appendix F. Waves and the wave equation.

Appendix G. Glossary: English to the Language of Mathematics.

Appendix H. Programming languages and the Language of Mathematics.

Appendix I. Other literature.

Index.

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