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| 001 | 00011078 | ||
| 003 | WSP | ||
| 005 | 20220711214153.0 | ||
| 007 | cr |uu|||uu||| | ||
| 008 | 181207s2018 si a ob 001 0 eng d | ||
| 010 |
_z 2015029065 _z 2016013681 |
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| 040 |
_aWSPC _beng _cWSPC |
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| 020 |
_a9789813273528 _q(ebook) |
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| 020 |
_z9789813273511 _q(hbk.) |
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| 020 |
_z9813273518 _q(hbk.) |
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| 020 |
_z9789813274525 _q(pbk.) |
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| 072 | 7 |
_aMAT _x034000 _2bisacsh |
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| 072 | 7 |
_aMAT _x007010 _2bisacsh |
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| 072 | 7 |
_aMAT _x032000 _2bisacsh |
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| 050 | 0 | 4 |
_aQA300 _b.J27 2018 |
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aJacob, Niels. _920859 |
|
| 245 | 1 | 2 |
_aA course in analysis. _nV. IV, _pFourier analysis, ordinary differential equations, calculus of variations _h[electronic resource] / _cNiels Jacob, Kristian P. Evans. |
| 246 | 3 | 0 | _aFourier analysis, ordinary differential equations, calculus of variations |
| 260 |
_aSingapore : _bWorld Scientific Publishing Co. Pte Ltd., _c©2018. |
||
| 300 |
_a1 online resource (768 p.) : _bill. |
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| 538 | _aMode of access: World Wide Web. | ||
| 538 | _aSystem requirements: Adobe Acrobat Reader. | ||
| 588 | _aTitle from web page (viewed December 7, 2018). | ||
| 504 | _aIncludes bibliographical references and index. | ||
| 520 |
_a"In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic mean of Fourier series. More advanced topics include a first discussion of Hardy spaces. We also spend some time handling general orthogonal series expansions, in particular, related to orthogonal polynomials. Then we switch to the Fourier integral, i.e. the Fourier transform in Schwartz space, as well as in some Lebesgue spaces or of measures. Our treatment of ordinary differential equations starts with a discussion of some classical methods to obtain explicit integrals, followed by the existence theorems of Picard-Lindelöf and Peano which are proved by fixed point arguments. Linear systems are treated in great detail and we start a first discussion on boundary value problems. In particular, we look at Sturm-Liouville problems and orthogonal expansions. We also handle the hypergeometric differential equations (using complex methods) and their relations to special functions in mathematical physics. Some qualitative aspects are treated too, e.g. stability results (Ljapunov functions), phase diagrams, or flows. Our introduction to the calculus of variations includes a discussion of the Euler-Lagrange equations, the Legendre theory of necessary and sufficient conditions, and aspects of the Hamilton-Jacobi theory. Related first order partial differential equations are treated in more detail."-- _cPublisher's website. |
||
| 650 | 0 |
_aMathematical analysis _vTextbooks. _912177 |
|
| 650 | 0 |
_aMathematics _xStudy and teaching (Higher) _920860 |
|
| 650 | 0 |
_aCalculus _vTextbooks. _920861 |
|
| 650 | 0 |
_aElectronic books. _920862 |
|
| 700 | 1 |
_aEvans, Kristian P. _920863 |
|
| 856 | 4 | 0 |
_uhttps://www.worldscientific.com/worldscibooks/10.1142/11078#t=toc _zAccess to full text is restricted to subscribers. |
| 942 | _cEBK | ||
| 999 |
_c72659 _d72659 |
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