Calculus
eBook - ePub

Calculus

An Intuitive and Physical Approach (Second Edition)

  1. 960 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Calculus

An Intuitive and Physical Approach (Second Edition)

About this book

Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.

Information

Year
2013
Print ISBN
9780486404530
eBook ISBN
9780486134765

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. Preface
  6. Contents
  7. Chapter 1 - Why Calculus?
  8. Chapter 2 - The Derivative
  9. Chapter 3 - The Antiderived Function or The Integral
  10. Chapter 4 - The Geometrical Significance of The Derivative
  11. Chapter 5 - The Differentiation and Integration of Powers of x
  12. Chapter 6 - Some Theorems on Differentiation and Antidifferentiation
  13. Chapter 7 - The Chain Rule
  14. Chapter 8 - Maxima and Minima
  15. Chapter 9 - The Definite Integral
  16. Chapter 10 - The Trigonometric Functions
  17. Chapter 11 - The Inverse Trigonometric Functions
  18. Chapter 12 - Logarithmic and Exponential Functions
  19. Chapter 13 - Differentials and The Law of The Mean
  20. Chapter 14 - Further Techniques of Integration
  21. Chapter 15 - Some Geometric Uses of The Definite Integral
  22. Chapter 16 - Some Physical Applications of The Definite Integral
  23. Chapter 17 - Polar Coordinates
  24. Chapter 18 - Rectangular Parametric Equations and Curvilinear Motion
  25. Chapter 19 - Polar Parametric Equations and Curvilinear Motion
  26. Chapter 20 - Taylor’s Theorem and Infinite Series
  27. Chapter 21 - Functions of Two or More Variables and Their Geometric Representation
  28. Chapter 22 - Partial Differentiation
  29. Chapter 23 - Multiple Integrals
  30. Chapter 24 - An Introduction to Differential Equations
  31. Chapter 25 - A Reconsideration of The Foundations
  32. Tables
  33. Index

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