Applied Functional Analysis
Aus der Reihe
Wiley Series in Pure and Applied Mathematics
187,99 €
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
Kopierschutz
Ja
Family Sharing
Nein
Text-to-Speech
Nein
Erscheinungsdatum
30.09.2011
Verlag
John Wiley & SonsSeitenzahl
520 (Printausgabe)
Dateigröße
18338 KB
Auflage
2. Auflage
Sprache
Englisch
EAN
9781118030974
A novel, practical introduction to functional analysis
In the twenty years since the first edition of Applied Functional
Analysis was published, there has been an explosion in the number
of books on functional analysis. Yet none of these offers the
unique perspective of this new edition. Jean-Pierre Aubin updates
his popular reference on functional analysis with new insights and
recent discoveries-adding three new chapters on set-valued analysis
and convex analysis, viability kernels and capture basins, and
first-order partial differential equations. He presents, for the
first time at an introductory level, the extension of differential
calculus in the framework of both the theory of distributions and
set-valued analysis, and discusses their application for studying
boundary-value problems for elliptic and parabolic partial
differential equations and for systems of first-order partial
differential equations.
To keep the presentation concise and accessible, Jean-Pierre Aubin
introduces functional analysis through the simple Hilbertian
structure. He seamlessly blends pure mathematics with applied areas
that illustrate the theory, incorporating a broad range of examples
from numerical analysis, systems theory, calculus of variations,
control and optimization theory, convex and nonsmooth analysis, and
more. Finally, a summary of the essential theorems as well as
exercises reinforcing key concepts are provided. Applied Functional
Analysis, Second Edition is an excellent and timely resource for
both pure and applied mathematicians.
In the twenty years since the first edition of Applied Functional
Analysis was published, there has been an explosion in the number
of books on functional analysis. Yet none of these offers the
unique perspective of this new edition. Jean-Pierre Aubin updates
his popular reference on functional analysis with new insights and
recent discoveries-adding three new chapters on set-valued analysis
and convex analysis, viability kernels and capture basins, and
first-order partial differential equations. He presents, for the
first time at an introductory level, the extension of differential
calculus in the framework of both the theory of distributions and
set-valued analysis, and discusses their application for studying
boundary-value problems for elliptic and parabolic partial
differential equations and for systems of first-order partial
differential equations.
To keep the presentation concise and accessible, Jean-Pierre Aubin
introduces functional analysis through the simple Hilbertian
structure. He seamlessly blends pure mathematics with applied areas
that illustrate the theory, incorporating a broad range of examples
from numerical analysis, systems theory, calculus of variations,
control and optimization theory, convex and nonsmooth analysis, and
more. Finally, a summary of the essential theorems as well as
exercises reinforcing key concepts are provided. Applied Functional
Analysis, Second Edition is an excellent and timely resource for
both pure and applied mathematicians.
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