Constructive Real Analysis (Paperback)

Allen A. Goldstein

ISBN 10: 0486488799 / ISBN 13: 9780486488790

Published by Dover Publications, New York, 2012

About this Item

Paperback. This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. The three-part treatment consists of roots and extremal problems, constraints, and infinite dimensional problems. Topics include iterations and fixed points, metric spaces, nonlinear programming, polyhedral convex programming, linear spaces and convex sets, and applications to integral equations. 1967 edition. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780486488790

Bibliographic Details

• Title: Constructive Real Analysis (Paperback)
• Publisher: Dover Publications, New York
• Publication Date: 2012
• Language: English
• ISBN 10: 0486488799
• ISBN 13: 9780486488790
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.