000			02351nam a22002777a 4500
003			OSt
005			20250729163522.0
008			250729b |||||||| |||| 00| 0 eng d
020			_a9789811092985
020			_a9789819706044 (pbk.) _c€ 54.99
040			_bENG _cIISER-BPR _dIISER-BPR
082			_a515.7246 _bLIM _223rd
100			_aLimaye, Balmohan V. _93451
222			_aMathematics
245			_aLinear functional analysis for scientists and engineers
250			_a1st corrected ed.
260			_aCham; Singapore : _bSpringer Nature, _cc2023.
300			_axiv, 254 p. : _bill. ; _c23cm.
504			_aIncludes illustrations, solution to exercises, bibliographic references and subject index.
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 interms 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			_aMathematics
650			_aAnalysis
650			_aFunctional analysis
650			_aLinear functional analysis _95520
942			_2ddc _cBK
999			_c4277 _d4277