Calculus with Analytic Geometry – Earl Swokowski – 2 edition

Description

The infinitesimal calculus is the of mathematics whose main objective is the study of movement and change. It is an indispensable tool of thought in almost all of pure and applied : in physics, chemistry, , , geology, and even in some of the . It also has many important uses in other parts of mathematics, especially geometry.

Table of Contents

1. The functions and their graphs
2. Limits of functions
3. The derivative
4. Extreme values and antiderivatives
5. The definite integral
6. The application of the definite integral
7. Exponential and Logarithmic Functions
8. Other important functions
9. Methods of integration
10. Unspecified forms, improper integrals and Taylor formulas
11. Infinite Series
12. Selected themes of analytical geometry
13. Flat curves and polar coordinates
14. Vectors and Surfaces
15. Vector Functions
16. Partial Derivatives
17. Multiple Integrals
18. Vector calculus
19. Differential Equations

Appendices.

I. Mathematical induction
II. Theorems on limits
III. Boards
IV. Tables of integrals
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