Description 
1 online resource (xx, 416 pages) : illustrations 
Contents 
Frontmatter  Introductory Overview. Introduction  Preview: Some Statements in English and the Language of Mathematics  Mathematics and its Language. Elements of the Language of Mathematics  Important Structures and Concepts in the Language of Mathematics  Solving Problems Mathematically  English, the Language of Mathematics, and Translating between them. Linguistic Characteristics of English and the Language of Mathematics  Translating English to Mathematics  Examples of Translating English to Mathematics  Conclusion. Summary  Appendix A: Representing Numbers  Appendix B: Symbols in 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 
Summary 
"The subject of this book is how to formulate a mathematical model from an English description of a problem. This book 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. In order to apply mathematics to a practical problem, one must first transform an English statement of the problem and the requirements for its solution into mathematical expressions. This book examines this process in detail, presents new insight into it, and develops explicit guidelines for this important step. This book identifies the basic elements (values, variables, and functions) of the language of mathematics and presents the grammatical rules for combining them into expressions and other structures. Different notational forms for expressions are described and defined. Correspondences between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics are identified. These lead to useful guidelines for translating English into the language of mathematics. In addition, the book contains many examples of translating English into mathematics. The approach presented in this book makes mathematics accessible to many people who have been turned off from mathematics by their early exposure to it" Provided by publisher 
Notes 
Includes index 
Subject 
English language  Machine translating.


Mathematical notation.

Form 
Electronic book

LC no. 
2010054063 
ISBN 
1118061713 (electronic bk.) 

1118061772 (electronic bk.) 

9781118061718 (electronic bk.) 

9781118061770 (electronic bk.) 
