Linear Functional Analysis

Name: Linear Functional Analysis
Author: Bryan Rynne

Auteur: Bryan Rynne

Taal: Engels

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Auteur: Bryan Rynne M.A. Youngson

Co-auteur: M. a. Youngson Bryan P. Rynne Martyn A. Youngson

Engels
Paperback
9781848000049
21 december 2007
324 pagina's

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Samenvatting

This leads to di?culties in that, although many of the elementary properties of ?nite-dimensional vector spaces hold in in?nite-dimensional vector spaces, many others do not. Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space.

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material.

The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations.

Further highlights of the second edition include:

a new chapter on the Hahn–Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis;

extended coverage of the uniform boundedness theorem;

plenty of exercises, with solutions provided at the back of the book.

Praise for the first edition:

"The authors write with a strong narrative thrust and a sensitive appreciation of the needs of the average student so that, by the final chapter, there is a real feeling of having 'gotten somewhere worth getting' by a sensibly paced, clearly signposted route." Mathematical Gazette

"It is a fine book, with material well-organized and well-presented. A particularly useful feature is the material on compact operators and applications to differential equations." CHOICE

Productspecificaties

Inhoud

Taal: en
Bindwijze: Paperback
Oorspronkelijke releasedatum: 21 december 2007
Aantal pagina's: 324
Illustraties: Nee

Betrokkenen

Hoofdauteur: Bryan Rynne
Tweede Auteur: M.A. Youngson
Co Auteur: Martyn A. Youngson
Hoofduitgeverij: Springer London Ltd

Overige kenmerken

Editie: 2
Extra groot lettertype: Nee
Product breedte: 178 mm
Product hoogte: 19 mm
Product lengte: 235 mm
Studieboek: Ja
Verpakking breedte: 178 mm
Verpakking hoogte: 19 mm
Verpakking lengte: 235 mm
Verpakkingsgewicht: 585 g

EAN

EAN: 9781848000049

Je vindt dit artikel in

Categorieën: Wetenschap & Natuur

Natuurkunde

Wiskunde

Wiskundige fysica

Calculus & Wiskundige analyse

Functionele calculus

Boeken
Taal: Engels
Beschikbaarheid: Leverbaar
Boek, ebook of luisterboek?: Boek
Studieboek of algemeen: Algemene boeken

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