LEADER 03208nam 22005055 450 001 9910768190403321 005 20230822012008.0 010 $a981-10-0972-4 024 7 $a10.1007/978-981-10-0972-3 035 $a(CKB)3710000000734718 035 $a(DE-He213)978-981-10-0972-3 035 $a(MiAaPQ)EBC5578858 035 $a(PPN)194377040 035 $a(EXLCZ)993710000000734718 100 $a20160618d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLinear Functional Analysis for Scientists and Engineers /$fby Balmohan V. Limaye 205 $a1st ed. 2016. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2016. 215 $a1 online resource (XIV, 254 p. 15 illus.) 311 $a981-10-0970-8 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Preliminaries -- Chapter 2. Basic Framework -- Chapter 3. Bounded Linear Maps -- Chapter 4. Dual Spaces, Transposes and Adjoints -- Chapter 5. Spectral Theory. 330 $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. 606 $aFunctional analysis 606 $aFunctions of real variables 606 $aFunctional Analysis 606 $aReal Functions 615 0$aFunctional analysis. 615 0$aFunctions of real variables. 615 14$aFunctional Analysis. 615 24$aReal Functions. 676 $a515.7 700 $aLimaye$b Balmohan V$4aut$4http://id.loc.gov/vocabulary/relators/aut$056151 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910768190403321 996 $aLinear functional analysis for scientists and engineers$91523427 997 $aUNINA