Functional Analysis - Fundamentals and Applications (Paperback, Softcover reprint of the original 1st ed. 2013)

The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Polya-Szego and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Cornerstones
Release date:	August 2015
First published:	2013
Authors:	Michel Willem
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	213
Edition:	Softcover reprint of the original 1st ed. 2013
ISBN-13:	978-1-4899-8794-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	1-4899-8794-0
Barcode:	9781489987945

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