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Applied functional analysis : applications to mathematical physics / Eberhard Zeidler.

By: Zeidler, Eberhard.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.): v. 108.Publisher: New York : Springer-Verlag, c1995Description: xxix, 479 p. : ill. ; 25 cm.ISBN: 0387944427 (acidfree paper); 9780387944425 (acidfree paper).Subject(s): Functional analysis | Mathematical physics | Analise funcional | Functionaalanalyse | Mathematische fysica | Funktionalanalysis | Physik | Physique math�ematique | Analyse fonctionnelle | EDP | probl�eme valeur propre | s�erie Fourier | orthogonalit�e | espace Hilbert | th�eor�eme point fixe | espace Banach | physique math�ematique | analyse fonctionnelleDDC classification: 510 s | 515/.7 Other classification: 31.46 Online resources: Publisher description | Table of contents only
Contents:
1. Banach Spaces and Fixed-Point Theorems -- 2. Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 3. Hilbert Spaces and Generalized Fourier Series -- 4. Eigenvalue Problems for Linear Compact Symmetric Operators -- 5. Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics.
Summary: This is the first part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, numerical functional analysis and their substantial applications with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question. The applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schrodinger approach and the Feynman approach to quantum physics, and quantum statistics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.
Item type Home library Collection Call number Status Date due Barcode Item holds
Books Masdar City Campus
Masdar Institute Library
General Collection QA1 .A647 V.108 (Browse shelf) Available 004174
Total holds: 0

Includes bibliographical references (p. [443]-455) and index.

1. Banach Spaces and Fixed-Point Theorems -- 2. Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 3. Hilbert Spaces and Generalized Fourier Series -- 4. Eigenvalue Problems for Linear Compact Symmetric Operators -- 5. Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics.

This is the first part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, numerical functional analysis and their substantial applications with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question. The applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schrodinger approach and the Feynman approach to quantum physics, and quantum statistics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.

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Applied functional analysis : by Zeidler, Eberhard. ©1995
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