Topological Vector Spaces, Distributions and Kernels (Paperback) (ISBN-13: 9780486453521)

This text for upper-level undergraduates and graduate students focuses on key notions and results in functional analysis. Extending beyond the boundaries of Hilbert and Banach space theory, it explores aspects of analysis relevant to the solution of partial differential equations.
The three-part treatment begins with topological vector spaces and spaces of functions, progressing to duality and spaces of distribution, and concluding with tensor products and kernels. The archetypes of linear partial differential equations (Laplace's, the wave, and the heat equations) and the traditional problems (Dirichlet's and Cauchy's) are this volume's main focus. Most of the basic classical results appear here. There are 390 exercises, several of which contain detailed information that will enable readers to reconstruct the proofs of some important results.

Author: Francois Treves
ISBN-10: 0486453529
ISBN-13: 9780486453521
Publisher: Dover Publications
Language: English
Published: 12/15/2006
Pages: 592
Format: Paperback
Weight: 1.31lbs
Size: 8.46h x 5.40w x 1.15d

Review Citation(s):
Scitech Book News 09/01/2007 pg. 37