Functional Analysis and Numerical Mathematics

Collatz, Lothar

ISBN 10: 012180450X / ISBN 13: 9780121804503

Published by Academic Press, 1967

About this Item

473 pp., hardcover, fine (lacks dust jacket). - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Seller Inventory # ZB1338872

Bibliographic Details

• Title: Functional Analysis and Numerical Mathematics
• Publisher: Academic Press
• Publication Date: 1967
• Language: English
• ISBN 10: 012180450X
• ISBN 13: 9780121804503
• Binding: Hardcover
• Condition: Fine

About this title

Synopsis

Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method in pseudometric spaces; special cases of the fixed-point theorem and change of operator; iterative methods for differential and integral equations; and systems of equations and difference methods. The manuscript takes a look at monotonicity, inequalities, and other topics, including monotone operators, applications of Schauder's theorem, matrices and boundary value problems of monotone kind, discrete Chebyshev approximation and exchange methods, and approximation of functions. The publication is a valuable source of data for mathematicians and researchers interested in functional analysis and numerical mathematics.