Introductory Calculus
eBook - PDF

Introductory Calculus

With Analytic Geometry and Linear Algebra

  1. 664 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introductory Calculus

With Analytic Geometry and Linear Algebra

Book details
Table of contents
Citations

About This Book

Introductory Calculus: Second Edition, with Analytic Geometry and Linear Algebra is an introductory text on calculus and includes topics related to analytic geometry and linear algebra. Functions and graphs are discussed, along with derivatives and antiderivatives, curves in the plane, infinite series, and differential equations. Comprised of 15 chapters, this book begins by considering vectors in the plane, the straight line, and conic sections. The next chapter presents some of the basic facts about functions, the formal definition of a function, and the notion of a graph of a function. Subsequent chapters examine the derivative as a linear transformation; higher derivatives and the mean value theorem; applications of graphs; and the definite integral. Transcendental functions and how to find an antiderivative are also discussed, together with the use of parametric equations to determine the curve in a plane; how to solve linear equations; functions of several variables and the derivative and integration of these functions; and problems that lead to differential equations. This monograph is intended for students taking a two- or three-semester course in introductory calculus.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483263953
Edition
2
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Introductory Calculus: With Analytic Geometry and Linear Algebra
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. PREFACE TO THE SECOND EDITION
  7. ACKNOWLEDGMENTS
  8. CHAPTER 1. SOME ANALYTIC GEOMETRY
  9. CHAPTER 2. FUNCTIONS
  10. CHAPTER 3. THE DERIVATIVE
  11. CHAPTER 4. MORE ABOUT THE DERIVATIVE
  12. CHAPTER 5. APPLICATIONS
  13. CHAPTER 6. THE DEFINITE INTEGRAL
  14. CHAPTER 7. TRANSCENDENTAL FUNCTIONS
  15. CHAPTER 8. FINDING ANTIDERIVATIVES
  16. CHAPTER 9. CURVES IN THE PLANE
  17. CHAPTER 10. LINEAR ALGEBRA
  18. CHAPTER 11. FUNCTIONS OF SEVERAL VARIABLES
  19. CHAPTER 12. THE DERIVATIVE OF FUNCTIONS OF SEVERAL VARIABLES
  20. CHAPTER 13. INTEGRATION OF FUNCTIONS OF SEVERAL VARIABLES
  21. CHAPTER 14. INFINITE SERIES
  22. CHAPTER 15. DIFFERENTIAL EQUATIONS
  23. WHAT NEXT?
  24. BIBLIOGRAPHY
  25. TABLE OF ANTIDERIVATIVES
  26. SOLUTIONS TO PROBLEMS
  27. ANSWERS TO ODD EXERCISES
  28. INDEX