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25 Remote Warehouse Mathematics- Functional Analysis

Constructive Real Analysis (Dover Books on Mathematics)

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Constructive Real Analysis (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This text introduces the methods of applied functional analysis and applied convexity. Suitable for advanced undergraduates and graduate students of mathematics, science, and technology, it focuses on the solutions to two closely related problems. The first concerns finding roots of systems of equations and operative equations in a given region. The second involves extremal problems of minimizing or maximizing functions defined on subsets of finite and infinite dimensional spaces. Rather than citing practical algorithms for solving problems, this treatment provides the tools for studying problem-related algorithms.

Topics include iterations and fixed points, metric spaces, nonlinear programming, polyhedral convex programming, and infinite convex programming. Additional subjects include linear spaces and convex sets and applications to integral equations. Students should be familiar with advanced calculus and linear algebra. As an introduction to elementary functional analysis motivated by application, this volume also constitutes a helpful reference for theoretically minded engineers, scientists, and applied mathematicians.

Synopsis:

This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. Topics include iterations and fixed points, metric spaces, nonlinear programming, applications to integral equations, and more. 1967 edition.

Table of Contents

Preface
I. Roots and Extremal Problems
A. Iterations and Fixed Points
B. Metric Spaces
C. Miscellany
D. Gradient Techniques
 
II. Constraints
A. Nonlinear Programming
B. Polyhedral Convex Programming
C. Infinite Convex Programming
 
III. Infinite Dimensional Problems
A. Linear Spaces and Convex Sets
B. Miscellany
C. Roots and Extremals
D. Applications to Integral Equations
E. An Application to Control Theory
 
Notes and Bibliographic Material
Index
 

Product Details

ISBN:
9780486488790
Author:
Goldstein, Allen A.
Publisher:
Dover Publications
Author:
Mathematics
Subject:
Functional Analysis
Subject:
Real analysis
Subject:
Applied Functional Analysis
Subject:
Applied Convexity
Subject:
Mathematics : Functional Analysis
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20120531
Binding:
TRADE PAPER
Language:
English
Pages:
192
Dimensions:
9.25 x 6.13 in

Related Subjects

Science and Mathematics » Chemistry » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Real Analysis

Constructive Real Analysis (Dover Books on Mathematics) New Trade Paper
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Product details 192 pages Dover Publications - English 9780486488790 Reviews:
"Synopsis" by ,
This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. Topics include iterations and fixed points, metric spaces, nonlinear programming, applications to integral equations, and more. 1967 edition.
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