An Introduction to Analytic Geometry and Calculus
eBook - PDF

An Introduction to Analytic Geometry and Calculus

  1. 448 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

An Introduction to Analytic Geometry and Calculus

Book details
Table of contents
Citations

About This Book

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.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483265223
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

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