A First Look at Numerical Functional Analysis (Dover Books on Mathematics)

Book Details

• Author: W W Sawyer

• Brand: Dover

• Edition: Illustrated

• Binding: Paperback

• Number of Pages: 208

• Release Date: 25-02-2011

• ISBN: 9780486478821

• Languages: English

• Package Dimensions: 8.4 x 5.4 x 0.7 inches

About The Book

Functional Analysis by W.W. Sawyer is an accessible and insightful introduction to the field of functional analysis, designed for advanced undergraduates and graduate students. The text demonstrates how problems in numerical analysis naturally lead to the concepts of functional analysis, making it a practical guide for those looking to bridge their knowledge of calculus and integral equations with more advanced topics.

Sawyer provides clear and coherent explanations for complex concepts such as Banach and Hilbert spaces, contraction mappings, convergence criteria, and differentiation and integration in Banach spaces. The book also covers the Kantorovich test for convergence of iterations and Rall's ideas on polynomial and quadratic operators.

Illustrated with numerous examples and practical applications, the book guides readers through these advanced mathematical concepts in a way that is engaging and easy to follow. Whether you're delving into the theory of functional analysis for the first time or expanding your knowledge, this textbook offers a structured approach to mastering the subject.