Differential and Integral Calculus: Spanish Language Astronomy Materials Education Center

Title: Differential and Integral Calculus

Author: Stefan Banach Translation: Alvar Noé Barra Zenil y Guillermos García Talavera

Publisher: Niriega Limusa

Year: 1996

ISBN: 968-18-3949-8

Suggested reader’s academic level: College

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...

—Fragment taken from the back of the book.

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.

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