Real Analysis and Applications

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Real Analysis and Applications by Fabio Silva Botelho, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Fabio Silva Botelho ISBN: 9783319786315
Publisher: Springer International Publishing Publication: May 14, 2018
Imprint: Springer Language: English
Author: Fabio Silva Botelho
ISBN: 9783319786315
Publisher: Springer International Publishing
Publication: May 14, 2018
Imprint: Springer
Language: English

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 addresses the multi-variable aspects of real analysis. Further, the book presents detailed, rigorous proofs of the implicit theorem for the vectorial case by applying the Banach fixed-point theorem and the differential forms concept to surfaces in Rn. It also provides a brief introduction to Riemannian geometry. 

With its rigorous, elegant proofs, this self-contained work is easy to read, making it suitable for undergraduate and beginning graduate students seeking a deeper understanding of real analysis and applications, and for all those looking for a well-founded, detailed approach to real analysis.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 addresses the multi-variable aspects of real analysis. Further, the book presents detailed, rigorous proofs of the implicit theorem for the vectorial case by applying the Banach fixed-point theorem and the differential forms concept to surfaces in Rn. It also provides a brief introduction to Riemannian geometry. 

With its rigorous, elegant proofs, this self-contained work is easy to read, making it suitable for undergraduate and beginning graduate students seeking a deeper understanding of real analysis and applications, and for all those looking for a well-founded, detailed approach to real analysis.

More books from Springer International Publishing

Cover of the book Atlas of Head and Neck Robotic Surgery by Fabio Silva Botelho
Cover of the book Urban Planning and Water-related Disaster Management by Fabio Silva Botelho
Cover of the book Collective Plasmon-Modes in Gain Media by Fabio Silva Botelho
Cover of the book Soil in Criminal and Environmental Forensics by Fabio Silva Botelho
Cover of the book The Soybean Genome by Fabio Silva Botelho
Cover of the book Next-Generation Therapies and Technologies for Immune-Mediated Inflammatory Diseases by Fabio Silva Botelho
Cover of the book Pediatric Dermatopathology by Fabio Silva Botelho
Cover of the book Continuing Professional Development of Teachers in Finland by Fabio Silva Botelho
Cover of the book A Primer on the Geometry of Carbon Nanotubes and Their Modifications by Fabio Silva Botelho
Cover of the book Applied Computing and Information Technology by Fabio Silva Botelho
Cover of the book The Rise of Extreme Porn by Fabio Silva Botelho
Cover of the book Infrared Non-local Modifications of General Relativity by Fabio Silva Botelho
Cover of the book Managing Flood Risk by Fabio Silva Botelho
Cover of the book MultiMedia Modeling by Fabio Silva Botelho
Cover of the book Cyber Racism and Community Resilience by Fabio Silva Botelho
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy