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Analysisfrom concepts to applications /

Penot, Jean-Paul.

Analysisfrom concepts to applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysisby Jean-Paul Penot.
Reminder of title:	from concepts to applications /
Author:	Penot, Jean-Paul.
Published:	Cham :Springer International Publishing :2016.
Description:	xxiii, 669 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-32411-1
ISBN:	9783319324111$q(electronic bk.)

Analysisfrom concepts to applications /
Penot, Jean-Paul.

Analysisfrom concepts to applications /[electronic resource] :by Jean-Paul Penot. - Cham :Springer International Publishing :2016. - xxiii, 669 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

Sets, Orders, Relations and Measures -- Encounters With Limits -- Elements of Functional Analysis -- Hilbert Spaces -- The Power of Differential Calculus -- A Touch of Convex Analysis -- Integration -- Differentiation and Integration -- Partial Differential Equations -- Evolution Problems -- References -- Index.

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 make it appropriate for self-study.

ISBN: 9783319324111$q(electronic bk.)

Standard No.: 10.1007/978-3-319-32411-1doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515.7

Analysisfrom concepts to applications /
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520 $a 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 make it appropriate for self-study.
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