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007			cr |||||||||||
008			160618s2016 si |||| o |||| 0|eng
010			_a 2019767501
020			_a9789811092985 (Pbk)
024	7		_a10.1007/978-981-10-0972-3 _2doi
035			_a(DE-He213)978-981-10-0972-3
040			_aDLC _beng _epn _erda _cIISERB
072		7	_aMAT037000 _2bisacsh
072		7	_aPBKF _2bicssc
072		7	_aPBKF _2thema
082	0	4	_a515.7 L628L _223
100	1		_aLimaye, Balmohan V, _931756
245	1	0	_aLinear Functional Analysis for Scientists and Engineers / _cby Balmohan V. Limaye.
250			_a1st ed. 2016.
260			_aSingapore: _bSpringer Nature, _c2023.
300			_aXIV, 254 pages 15 illustrations
505	0		_aChapter 1. Preliminaries -- Chapter 2. Basic Framework -- Chapter 3. Bounded Linear Maps -- Chapter 4. Dual Spaces, Transposes and Adjoints -- Chapter 5. Spectral Theory.
520			_aThis book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. The purpose of the text is to present the basic aspects of functional analysis to this varied audience, keeping in mind the considerations of applicability. A novelty of this book is the inclusion of a result by Zabreiko, which states that every countably subadditive seminorm on a Banach space is continuous. Several major theorems in functional analysis are easy consequences of this result. The entire book can be used as a textbook for an introductory course in functional analysis without having to make any specific selection from the topics presented here. Basic notions in the setting of a metric space are defined in terms of sequences. These include total boundedness, compactness, continuity and uniform continuity. Offering concise and to-the-point treatment of each topic in the framework of a normed space and of an inner product space, the book represents a valuable resource for advanced undergraduate students in mathematics, and will also appeal to graduate students and faculty in the natural sciences and engineering. The book is accessible to anyone who is familiar with linear algebra and real analysis.
650		0	_aFunctional analysis. _931757
650		0	_aFunctions of real variables. _931758
650	1	4	_aFunctional Analysis. _931759
650	2	4	_aReal Functions. _931760
776	0	8	_iPrint version: _tLinear functional analysis for scientists and engineers. _z9789811009709 _w(DLC) 2016939047
776	0	8	_iPrinted edition: _z9789811009709
776	0	8	_iPrinted edition: _z9789811009716
776	0	8	_iPrinted edition: _z9789811092985
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c10724 _d10724