A01=Terry J. Morrison
active
areas
Author_Terry J. Morrison
bases
book
Category=PBKF
Category=PBPD
convex
distinctive
eq_isMigrated=1
eq_nobargain
exploration
functional
general
introduction
mathematical
mathematics
maturity
occasionally
powerful
range
readers
space
strong springboard
theoretical
topics
topological
vector
wide
Product details
- ISBN 9780471372141
- Weight: 710g
- Dimensions: 163 x 246mm
- Publication Date: 16 Jan 2001
- Publisher: John Wiley & Sons Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
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.
TERRY J. MORRISON, PhD, is Associate Professor in the Department of Mathematics and Computer Science at Gustavus Adolphus College, St. Peter, Minnesota.
