Topological Vector Spaces and Distributions (Dover Books on Mathematics)

Book Details

• Author: John Horvath

• Publisher: Dover

• Edition: Reprint

• Binding: Paperback

• ISBN: 9780486488509

• Languages: English

• Package Dimensions: 9.2 x 6.1 x 1.1 inches

• Number of Pages: 464

About the Book

"Topological Vector Spaces" by John Horvath offers one of the most readable and rigorous introductions to the theory of vector spaces. Widely recognized as an exceptional work, this classic treatise delves deeply into modern contributions to the field of topological vector spaces while remaining accessible to readers.

With a self-contained structure, the book presents complete proofs for all essential results from algebra and topology, making it a perfect choice for undergraduate mathematics majors with a background in advanced calculus. It is also a valuable resource for professional mathematicians, physicists, and engineers.

The first three chapters provide a precise exposition on Banach spaces, locally convex spaces, and duality, offering a comprehensive summary of the modern theory of locally convex spaces. The fourth chapter extends the discussion to distributions, exploring their connections to convolutions, tensor products, and Fourier transforms.

The book is complemented with many practical examples and exercises, aiding readers in grasping complex concepts. It also includes an extensive bibliography, making it a crucial reference work in the study of topological vector spaces.