- 440 pages
- English
- PDF
- Only available on web
Fundamentals of Elementary Mathematics
About This Book
Fundamentals of Elementary Mathematics provides an understanding of the fundamental aspects of elementary mathematics. This book presents the relevance of the mathematical concepts, which are also demonstrated in numerous exercises. Organized into 10 chapters, this book begins with an overview of the study of logic to understand the nature of mathematics. This text then discusses mathematics as a system of structure or as a collection of substructures. Other chapters consider the four essential components in a mathematical or logical system or structure, namely, undefined terms, defined terms, postulates, and theorems. This book discusses as well several principles used in numeration systems and provides examples of some numeration systems that are in use to illustrate these principles. The final chapter deals with the classification of certain mathematical systems as groups, fields, or rings to demonstrate some abstract mathematics. This book is a valuable resource for students and teachers in elementary mathematics.
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Table of contents
- Front Cover
- Fundamentals of Elementary Mathematics
- Copyright Page
- Table of Contents
- Dedication
- PREFACE
- ACKNOWLEDGMENTS
- GLOSSARY OF SYMBOLS
- CHAPTER 1. AN INTRODUCTION TO LOGIC AND MATHEMATICAL REASONING
- CHAPTER 2. SETS, RELATIONS, FUNCTIONS AND OPERATIONS
- CHAPTER 3. THE SYSTEM OF WHOLE NUMBERS
- CHAPTER 4. NUMERATION SYSTEMS
- CHAPTER 5. ALGORITHMS FOR COMPUTATION WITH WHOLE NUMBERS
- CHAPTER 6. THE SYSTEM OF FRACTIONAL NUMBERS
- CHAPTER 7. THE SYSTEM OF INTEGERS
- CHAPTER 8. THE SYSTEM OF RATIONAL NUMBERS
- CHAPTER 9. DECIMAL NUMERALS, INTRODUCTION: REAL NUMBERS
- CHAPTER 10. ABSTRACT SYSTEMS
- Answers and Suggestions for Selected Exercises
- INDEX