عنوان

Applied functional analysis :

شابک

0387944427

شابک

9780387944425

شماره

dltt

عنوان اصلي

Applied functional analysis :

نام عام مواد

[Book]

ساير اطلاعات عنواني

applications to mathematical physics /

نام نخستين پديدآور

Eberhard Zeidler

نام خاص و کميت اثر

xxix, 479 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

عنوان فروست

Applied mathematical sciences ;

مشخصه جلد

108

متن يادداشت

Includes bibliographical references (pages 443-455) and index

متن يادداشت

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

بدون عنوان

0

متن يادداشت

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

موضوع مستند نشده

Functional analysis

موضوع مستند نشده

Mathematical physics

موضوع مستند نشده

Analyse fonctionnelle

موضوع مستند نشده

EDP

موضوع مستند نشده

Espace Banach

موضوع مستند نشده

espace Hilbert

موضوع مستند نشده

orthogonalité

موضوع مستند نشده

physique mathématique

موضوع مستند نشده

problème valeur propre

موضوع مستند نشده

Série Fourier

موضوع مستند نشده

théorème point fixe

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Zeidler, Eberhard

تاريخ عمليات

20160712060945.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y