Differential and Integral Calculus: Spanish Language Astronomy Materials Education Center

Differential and Integral Calculus

Description:

This 386-page book was written as an introduction to differential and integral calculus. The book presents the most important theorems and the least complicated demonstrations of them so that it will be easier for students to learn. The book is divided into 23 chapters:

1. theory of sequences
2. functions of one variable
3. limit of a function
4. continuity of functions
5. derivative and differential of a function
6. Rolle’s theorem medium value and Taylor’s formula
7. maxima and minima points of inflection and indeterminate expressions
8. series
9. functions of two variables
10. Taylor’s formula maxima and minima and differentiala of functions of two variables
11. functions of several variables
12. the indefinite integral and methods of integration
13. integration of rational functions
14. integration of algebraic functions
15. integration of some non-algebraic functions
16. the definite integral
17. transformation of definite integrals and integration of sequences and series
18. improper integrals
19. applications of integral calculation
20. the double integral and applications of integratability
21. the curvilinear or line integral
22. Continuous transformations and changes of variables in double integrals
23. multiple integrals.

—Fragment taken from the back of the book.