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Functional analysis for the applied ...

Morosanu, Gheorghe.

Functional analysis for the applied sciences

Record Type:	Electronic resources : Monograph/item
Title/Author:	Functional analysis for the applied sciencesby Gheorghe Morosanu.
Author:	Morosanu, Gheorghe.
Published:	Cham :Springer International Publishing :2019.
Description:	xii, 432 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functional analysis.
Online resource:	https://doi.org/10.1007/978-3-030-27153-4
ISBN:	9783030271534$q(electronic bk.)

Functional analysis for the applied sciences
Morosanu, Gheorghe.

Functional analysis for the applied sciences[electronic resource] /by Gheorghe Morosanu. - Cham :Springer International Publishing :2019. - xii, 432 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

1. Introduction -- 2. Metric Spaces -- 3. The Lebesgue Integral and Lp Spaces -- 4. Continuous Linear Operators and Functionals -- 5. Distributions, Sobolev Spaces -- 6. Hilbert Spaces -- 7. Adjoint, Symmetric and Self-adjoint Linear Operators -- 8. Eigenvalues and Eigenvectors -- 9. Semigroups of Linear Operators -- 10. Solving Linear Evolution Equations by the Fourier Method -- 11. Integral Equations -- 12. Answers to Exercises -- Bibliography.

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving diﬀerential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and methods offered by Functional Analysis. Some of the exercises supplement theoretical material, while others relate to the real world. This textbook, with its friendly exposition, focuses on different problems in physics and other applied sciences and uniquely provides solutions to most of the exercises. The text is aimed toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science.

ISBN: 9783030271534$q(electronic bk.)

Standard No.: 10.1007/978-3-030-27153-4doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .M67 2019

Dewey Class. No.: 515.7

Functional analysis for the applied sciences
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245 1 0 $a Functional analysis for the applied sciences $h [electronic resource] / $c by Gheorghe Morosanu.
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490 1 $a Universitext, $x 0172-5939
505 0 $a 1. Introduction -- 2. Metric Spaces -- 3. The Lebesgue Integral and Lp Spaces -- 4. Continuous Linear Operators and Functionals -- 5. Distributions, Sobolev Spaces -- 6. Hilbert Spaces -- 7. Adjoint, Symmetric and Self-adjoint Linear Operators -- 8. Eigenvalues and Eigenvectors -- 9. Semigroups of Linear Operators -- 10. Solving Linear Evolution Equations by the Fourier Method -- 11. Integral Equations -- 12. Answers to Exercises -- Bibliography.
520 $a This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving diﬀerential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and methods offered by Functional Analysis. Some of the exercises supplement theoretical material, while others relate to the real world. This textbook, with its friendly exposition, focuses on different problems in physics and other applied sciences and uniquely provides solutions to most of the exercises. The text is aimed toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science.
650 0 $a Functional analysis. $3 200585
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Integral Equations. $3 274836
650 2 4 $a Linear Algebra. $3 821215
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950 $a Mathematics and Statistics (Springer-11649)