Functional Analysis (Paperback)

The material presented in this book is suited for a first course in Functional Analysis which can be followed by masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career in the applications of mathematics. The book includes a chapter on weak and weak*topologies and their applications to the notions of reflexivity, separability and uniform convexity. The chapter on the Lebesgue spaces also presents the theory of one of the simplest classes of Sobolev spaces. The book includes a chapter on compact operators and the spectral theory for compact self-adjoint operators on a Hilbert space. Each chapter has large collection of exercises at the end. These illustrate the results of the text, show the optimality of the hypotheses of various theorems via examples or counterexamples, or develop simple versions of theories not elaborated upon in the text.

General

Imprint:	Hindustan Book Agency,IN
Country of origin:	India
Series:	Texts and readings in Mathematics
Release date:	December 2014
First published:	2009
Authors:	S. Kesavan
Dimensions:	229 x 152mm (L x W)
Format:	Paperback
Pages:	281
ISBN-13:	978-93-80-25062-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General Promotions
LSN:	93-80-25062-2
Barcode:	9789380250625

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