Topological Vector Spaces, Distributions and Kernels (Dover Books on Mathematics)

Author: Treves, Francois

Brand: Dover Publications

Edition: Illustrated

Number Of Pages: 592

Details: 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.

UPC: 800759453528

EAN: 9780486453521

Release Date: 15-12-2006

Languages: English

Item Note: This is a lightly used copy! There is minimal wear from use. The pages are clean with no marks.

Item Condition: UsedVeryGood

Binding: Paperback