عنوان

Applied functional analysis :

(Number (ISBN

0387944427

(Number (ISBN

9780387944425

Number

dltt

Title Proper

Applied functional analysis :

General Material Designation

[Book]

Other Title Information

applications to mathematical physics /

First Statement of Responsibility

Eberhard Zeidler

Specific Material Designation and Extent of Item

xxix, 479 pages :

Other Physical Details

illustrations ;

Dimensions

25 cm

Series Title

Applied mathematical sciences ;

Volume Designation

108

Text of Note

Includes bibliographical references (pages 443-455) and index

Text of Note

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

0

Text of Note

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

Functional analysis

Mathematical physics

Analyse fonctionnelle

EDP

Espace Banach

espace Hilbert

orthogonalité

physique mathématique

problème valeur propre

Série Fourier

théorème point fixe

Number

Edition

Class number

Book number

Zeidler, Eberhard

Date of Transaction

20160712060945.0

Electronic name

[Book]

Y