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Real Analysis and Applications by Fabio Silva Botelho at Abbey's Bookshop,
Real Analysis and Applications
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Fabio Silva Botelho

Real Analysis and Applications

Fabio Silva Botelho

$152.95   $122.40

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English
Springer Nature Switzerland AG
26 December 2018
Calculus & mathematical analysis; Real analysis, real variables; Integral calculus & equations
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.
By:  
Imprint:   Springer Nature Switzerland AG
Country of Publication:   Switzerland
Edition:   Softcover reprint of the original 1st ed. 2018
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 30mm
Weight:   884g
ISBN:   9783030087500
ISBN 10:   3030087506
Pages:   567
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

"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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