Authors:
- Presents results of analysis that can be applied to a wealth of concrete problems
- Starts from the foundations and leads to powerful results
- Treats less traditional topics such as convex analysis, monotone operators, and the Laplace and Radon transforms
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems.
In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena.
Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.
Reviews
“This textbook is mainly intended for advanced undergraduate and graduate students, engineers as well as practitioners who want to be familiar with concepts and applications of analysis. … The book it suitable for use in several courses, and its self-contained character make it appropriate for self-study.” (Petr Gurka, zbMATH, Vol. 1366.26002, 2017)
Authors and Affiliations
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Université Pierre et Marie Curie, Paris, France
Jean-Paul Penot
About the author
Bibliographic Information
Book Title: Analysis
Book Subtitle: From Concepts to Applications
Authors: Jean-Paul Penot
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-319-32411-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-32409-8Published: 27 December 2016
eBook ISBN: 978-3-319-32411-1Published: 18 December 2016
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XXIII, 669
Number of Illustrations: 26 b/w illustrations
Topics: Functional Analysis, Measure and Integration, Partial Differential Equations