000			01983cam a22002418i 4500
003			RNL
005			20260309100628.0
008			230608s2023 enk ob 001 0 eng
020			_a9781009243926
040			_aRCL
082	0	0	_a517.5 V14F
100	1		_aVaidyanathan, Prahlad, _930573
245	1	0	_aFunctional Analysis / _cPrahlad Vaidyanathan.
260			_aNew Delhi: _bCambridge University press, _c2023.
300			_axii, 543p. ; 21cm.
504			_aIncludes bibliographical references and index.
520			_a"Functional Analysis is a part of mathematics that deals with linear spaces equipped with a topology. The subject began with the work of Fredholm, Hilbert, Banach and others in the early 20th century. They developed an algebraic/topological framework which could be used to address a variety of questions in analysis. The subject immediately saw connections to abstract algebra, partial differential equations, geometry and much more. This book is meant to introduce the reader to functional analysis. The first half of the book will cover the basic material that is taught in Masters programs across the world and prove all the major theorems in great detail. The second half of the book will focus on operators on a Hilbert space and is built around the proof of the spectral theorem - a central result in the subject that ties together traditional functional analysis with the modern theory of operator algebras. The book aims to provide an accessible, interesting and readable introduction to the subject. It will also take the reader a little further than most courses do by introducing them to the language of operator algebras. This will help future researchers by giving them a jumping off point as they dive into deeper books on the subject"--
546			_aEnglish
650		0	_aFunctional analysis. _925653
650		0	_aFunctional analysis _vProblems, exercises, etc. _930574
650		7	_aMATHEMATICS / Mathematical Analysis _930137
942			_cBK
999			_c47867 _d47867