Real Analysis and Applications

Authors: Silva Botelho, Fabio

  • Starts from basic concepts and extends to n-dimensional, multi-variable real analysis
  • Self-contained, with easy-to-follow proofs
  • Provides elegant proofs of the implicit theorem for the vectorial case by applying the Banach fixed-point theorem
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eBook $44.99
price for Brazil (gross)
  • ISBN 978-3-319-78631-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for Brazil
  • ISBN 978-3-319-78630-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Fabio Botelho holds a PhD in Mathematics from Virginia Tech, USA, and a Master in Aeronautics and Mechanics Engineering from the Aeronautics Institute of Technology, Brazil. He is the author of the book "Functional Analysis and Applied Optimization in Banach Spaces," also published with Springer. His main research fields are calculus of variations, convex analysis and duality applied to problems in physics and engineering.

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Table of contents (10 chapters)

Buy this book

eBook $44.99
price for Brazil (gross)
  • ISBN 978-3-319-78631-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for Brazil
  • ISBN 978-3-319-78630-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Real Analysis and Applications
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-78631-5
DOI
10.1007/978-3-319-78631-5
Hardcover ISBN
978-3-319-78630-8
Edition Number
1
Number of Pages
XIII, 567
Topics