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Informationen zum Autor 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. Klappentext A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process?not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics?and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems. Zusammenfassung A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. Inhaltsverzeichnis List of Tables xii Preface xv Part A Introductory Overview 1 Introduction 3 1.1 What Is Language? 4 1.2 What Is Mathematics? 5 1.3 Why Use Mathematics? 7 1.4 Mathematics and Its Language 8 1.5 The Role of Translating English to Mathematics in Applying Mathematics 9 1.6 The Language of Mathematics vs. Mathematics vs. Mathematical Models 11 1.7 Goals and Intended Readership 12 1.8 Structure of the Book 14 1.9 Guidelines for the Reader 15 2 Preview: Some Statements in English and the Language of Mathematics 19 2.1 An Ancient Problem: Planning the Digging of a Canal 20 2.2 The Wall Around the Ancient City of Uruk 21 2.3 A Numerical Thought Puzzle 23 2.4 A Nursery Rhyme 24 2.5 Making a Pot of Tea 25 2.6 Combining Data Files 26 2.7 Selecting a Telephone Tariff 27 2.8 Interest on Savings Accounts, Bonds, etc. 28 2.9 Sales and Value-Added Tax on Sales of Goods and Services 28 2.10 A Hand of Cards 30 2.11 Shear and Moment in a Beam 30 2.12 Forming Abbreviations of Names 32 2.13 The Energy...
