Analysis - From Concepts to Applications (Paperback, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Universitext
Release date:	December 2016
First published:	2016
Authors:	Jean-Paul Penot
Dimensions:	235 x 155 x 42mm (L x W x T)
Format:	Paperback
Pages:	669
Edition:	1st ed. 2016
ISBN-13:	978-3-319-32409-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
LSN:	3-319-32409-8
Barcode:	9783319324098

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