000 | 02762nam a22004455i 4500 | ||
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001 | 978-93-86279-42-2 | ||
003 | DE-He213 | ||
005 | 20210602114659.0 | ||
007 | cr nn 008mamaa | ||
008 | 170720s2009 ii | s |||| 0|eng d | ||
020 |
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024 | 7 |
_a10.1007/978-93-86279-42-2 _2doi |
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072 | 7 |
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100 | 1 |
_aKesavan, S. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aFunctional Analysis _h[electronic resource] / _cby S. Kesavan. |
250 | _a1st ed. 2009. | ||
264 | 1 |
_aGurgaon : _bHindustan Book Agency : _bImprint: Hindustan Book Agency, _c2009. |
|
300 |
_a282 p. _bonline resource. |
||
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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490 | 1 |
_aTexts and Readings in Mathematics ; _v52 |
|
520 | _aThe material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career in the applications of mathematics. The book includes a chapter on weak and weak topologies and their applications to the notions of reflexivity, separability and uniform convexity. The chapter on the Lebesgue spaces also presents the theory of one of the simplest classes of Sobolev spaces. The book includes a chapter on compact operators and the spectral theory for compact self-adjoint operators on a Hilbert space. Each chapter has large collection of exercises at the end. These illustrate the results of the text, show the optimality of the hypotheses of various theorems via examples or counterexamples, or develop simple versions of theories not elaborated upon in the text. | ||
650 | 0 | _aMathematics. | |
650 | 1 | 4 |
_aMathematics, general. _0https://scigraph.springernature.com/ontologies/product-market-codes/M00009 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9788185931876 |
830 | 0 |
_aTexts and Readings in Mathematics ; _v52 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-93-86279-42-2 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-SXMS | ||
999 |
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