000 02471cam a22003378i 4500
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008 230608s2023 enk b 001 0 eng
010 _a 2023022479
020 _a9781009243902
_q(paperback)
040 _aDLC
_beng
_erda
_cIISERB
042 _apcc
050 0 0 _aQA320
_b.V35 2023
082 _223
_a515.7 V19F
084 _aMAT034000
_2bisacsh
100 1 _aVaidyanathan, Prahlad.
_929646
245 1 0 _aFunctional analysis
_cPrahlad Vaidyanathan.
260 _aNew Delhi:
_bCambridge University Press,
_c2023.
263 _a2309
300 _axii, 543p.
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"--
650 0 _aFunctional analysis.
_929647
650 0 _aFunctional analysis
_vProblems, exercises, etc.
_929648
650 7 _aMATHEMATICS / Mathematical Analysis
_2bisacsh
_929649
776 0 8 _iOnline version:
_aVaidyanathan, Prahlad.
_tFunctional analysis
_dCambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023
_z9781009243926
_w(DLC) 2023022480
906 _a0
_bibc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c10122
_d10122