**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.

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:

- theory of sequences
- functions of one variable
- limit of a function
- continuity of functions
- derivative and differential of a function
- Rolle’s theorem medium value and Taylor’s formula
- maxima and minima points of inflection and indeterminate expressions
- series
- functions of two variables
- Taylor’s formula maxima and minima and differentiala of functions of two variables
- functions of several variables
- the indefinite integral and methods of integration
- integration of rational functions
- integration of algebraic functions
- integration of some non-algebraic functions
- the definite integral
- transformation of definite integrals and integration of sequences and series
- improper integrals
- applications of integral calculation
- the double integral and applications of integratability
- the curvilinear or line integral
- Continuous transformations and changes of variables in double integrals
- multiple integrals.

—Fragment taken from the back of the book.

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