An Introduction to Analytic Geometry and Calculus

A. C. Burdette

• Publisher: Academic Press
• Year: 2014
• Print ISBN: 9780121422523
• eBook ISBN: 9781483265223
• Topic: Mathematics
• Subtopic: Calculus
• Index: Mathematics

An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.

Table of contents

• Front Cover
• An Introduction to Analytic Geometry and Calculus
• Copyright Page
• Table of Contents
• Dedication
• Preface
• CHAPTER 1. THE COORDINATE SYSTEM—FUNDAMENTAL RELATIONS
• CHAPTER 2. THE STRAIGHT LINE
• CHAPTER 3. NONLINEAR EQUATIONS AND GRAPHS
• CHAPTER 4. FUNCTIONS AND LIMITS
• CHAPTER 5. THE DERIVATIVE
• CHAPTER 6. SOME APPLICATIONS
• CHAPTER 7. THE INTEGRAL
• CHAPTER 8. THE TRIGONOMETRIC FUNCTIONS
• CHAPTER 9. THE EXPONENTIAL AND LOGARITHM FUNCTIONS
• CHAPTER 10. METHODS OF INTEGRATION
• CHAPTER 11. MORE APPLICATIONS
• CHAPTER 12. PARAMETRIC EQUATIONS—POLAR COORDINATES
• CHAPTER 13. FUNCTIONS OF SEVERAL VARIABLES
• CHAPTER 14. INFINITE SERIES
• Appendix A: Table of Integrals
• Appendix B: Some Function Values
• Appendix C: Logarithm Tables
• Answers to Odd-Numbered Exercises
• Index