Linear Functional Analysis

Bryan P. Rynne, Martin A. Youngson - Collection Springer Undergraduate Mathematics Series (SUMS)

283 pages, parution le 29/02/2000

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Résumé

Providing an introduction to the ideas and methods of linear functional analysis, this book shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. In the initial chapters, the theory of infinite-dimensional normed spaces (in particular Hilbert spaces) is developed, while in later chapters the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapter discusses the two particularly important areas of integral and differential equations. The reader is assumed to have a standard undergraduate knowledge of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration. An introductory chapter summarizes the requisite material. Many exercises are included with solutions provided for each.

Written for: Undergraduate students

Sommaire

Preliminaries
Normed Spaces
Inner Product Spaces, Hilbert Spaces
Linear Operators
Linear Operators on Hilbert Spaces
Compact Operators
Integral and Differential Equations
Solutions to Exercises
Further Reading
References
Notation Index

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Bryan P. Rynne, Martin A. Youngson
Collection	Springer Undergraduate Mathematics Series (SUMS)
Parution	29/02/2000
Nb. de pages	283
Format	17 x 23
Couverture	Broché
Poids	460g
Intérieur	Noir et Blanc
EAN13	9781852332570
ISBN13	978-1-85233-257-0