Real Analysis and Applications

• Main Author: Botelho, Fabio Silva (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Functions of real variables.; Measure theory.; Sequences (Mathematics).; Real Functions.; Measure and Integration.; Sequences, Series, Summability.

This textbook introduces readers to real analysis in one and n dimensions. It is divided into two parts: Part I explores real analysis in one variable, starting with key concepts such as the construction of the real number system, metric spaces, and real sequences and series. In turn, Part II addres...

Table of Contents:

• Chapter 01- Real Numbers
• Chapter 02- Metric Spaces
• Chapter 03- Real Sequences and Series
• Chapter 04- Real Function Limits
• Chapter 05- Continuous Functions
• Chapter 06- Derivatives
• Chapter 07- The Riemann Integral
• Chapter 08- Differential Analysis in Rn
• Chapter 09- Integration in Rn
• Chapter 10- Topics on Vector Calculus and Vector Analysis.