000 | 03338nam a22004695i 4500 | ||
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001 | 978-981-10-0972-3 | ||
003 | DE-He213 | ||
005 | 20181204134227.0 | ||
007 | cr nn 008mamaa | ||
008 | 160618s2016 si | s |||| 0|eng d | ||
020 |
_a9789811009723 _9978-981-10-0972-3 |
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024 | 7 |
_a10.1007/978-981-10-0972-3 _2doi |
|
040 | _aISI Library, Kolkata | ||
050 | 4 | _aQA319-329.9 | |
072 | 7 |
_aPBKF _2bicssc |
|
072 | 7 |
_aMAT037000 _2bisacsh |
|
072 | 7 |
_aPBKF _2thema |
|
082 | 0 | 4 |
_a515.7 _223 |
100 | 1 |
_aLimaye, Balmohan V. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aLinear Functional Analysis for Scientists and Engineers _h[electronic resource] / _cby Balmohan V. Limaye. |
264 | 1 |
_aSingapore : _bSpringer Singapore : _bImprint: Springer, _c2016. |
|
300 |
_aXIV, 254 p. 15 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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. | |
650 | 0 | _aMathematics. | |
650 | 1 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9789811009709 |
776 | 0 | 8 |
_iPrinted edition: _z9789811009716 |
776 | 0 | 8 |
_iPrinted edition: _z9789811092985 |
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-10-0972-3 |
912 | _aZDB-2-SMA | ||
942 | _cEB | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c426472 _d426472 |