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 Advances in Knowledge Management by Fabio Silva Botelho
Cover of the book The Informal Economy in Global Perspective by Fabio Silva Botelho
Cover of the book Reverse Shoulder Arthroplasty by Fabio Silva Botelho
Cover of the book The Cosmic Microwave Background by Fabio Silva Botelho
Cover of the book Damage Tolerance of Metallic Aircraft Structures by Fabio Silva Botelho
Cover of the book 9-12Cr Heat-Resistant Steels by Fabio Silva Botelho
Cover of the book Education and Working-Class Youth by Fabio Silva Botelho
Cover of the book Narcissism, Melancholia and the Subject of Community by Fabio Silva Botelho
Cover of the book Synergetics of Molecular Systems by Fabio Silva Botelho
Cover of the book Advances in Human Factors in Cybersecurity by Fabio Silva Botelho
Cover of the book Ambient Assisted Living by Fabio Silva Botelho
Cover of the book Gendering Israel's Outsourcing by Fabio Silva Botelho
Cover of the book Recent Advances in Celestial and Space Mechanics by Fabio Silva Botelho
Cover of the book The Archaean: Geological and Geochemical Windows into the Early Earth by Fabio Silva Botelho
Cover of the book Portfolio Analytics 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