Functional Analysis

Terry J. Morrison

ISBN 10: 0471372145 / ISBN 13: 9780471372141

Published by John Wiley and Sons Inc, US, 2001

About this Item

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.

Seller Inventory # LU-9780471372141

Bibliographic Details

• Title: Functional Analysis
• Publisher: John Wiley and Sons Inc, US
• Publication Date: 2001
• Language: English
• ISBN 10: 0471372145
• ISBN 13: 9780471372141
• Binding: Hardback
• Edition: 1st.
• Condition: New
• Dimensions: 16.3W x 2.34H x 24.55D centimeters 16.3 centimeters width by 2.34 centimeters height by 24.55 centimeters depth
• Weight: 710 grams

About this title

Synopsis

A powerful introduction to one of the most active areas of theoretical and applied mathematics

This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including:
* Weak topologies and applications
* Operators on Banach spaces
* Bases in Banach spaces
* Sequences, series, and geometry in Banach spaces


Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.

About the Author

TERRY J. MORRISON, PhD, is Associate Professor in the Department of Mathematics and Computer Science at Gustavus Adolphus College, St. Peter, Minnesota.