Topological Vector Spaces and Distributions

John Horvarth, Mathematics, John Horvaath

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English

Dover Publications Inc.
17 July 2012

Mathematics & Sciences; Mathematics

Series: Dover Books on Mathema 1.4tics

""""The most readable introduction to the theory of vector spaces available in English and possibly any other language.""""-J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.

The precise exposition of the first three chapters-covering Banach spaces, locally convex spaces, and duality-provides an excellent summary of the modern theory of locally convex spaces. The fourth and final chapter develops the theory of distributions in relation to convolutions, tensor products, and Fourier transforms. Augmented with many examples and exercises, the text includes an extensive bibliography.

By: John Horvarth, Mathematics, John Horvaath
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 584g
ISBN: 9780486488509
ISBN 10: 0486488500
Series: Dover Books on Mathema 1.4tics
Pages: 464
Publication Date: 17 July 2012
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Unspecified

John Horvath is Professor Emeritus of Mathematics at the University of Maryland in College Park.