Real Analysis and Applications - Brossura

Botelho, Fabio Silva

 
9783030087500: Real Analysis and Applications
Brossura
ISBN 10: 3030087506 ISBN 13: 9783030087500
Casa editrice: Springer, 2018

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

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.


Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2018
Lingua
Inglese
ISBN 10 
3030087506
ISBN 13 
9783030087500
Rilegatura
Copertina flessibile
Numero di pagine
584
Contatto del produttore
non disponibile
Persona responsabile
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

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Heidelberg
69115
Germania

Altre edizioni note dello stesso titolo

9783319786308: Real Analysis and Applications

Edizione in evidenza

ISBN 10:  331978630X ISBN 13:  9783319786308
Casa editrice: Springer Nature, 2018
Rilegato