000 | 02274nam a2200385 a 4500 | ||
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001 | 00011680 | ||
003 | WSP | ||
007 | cr cnu|||unuuu | ||
008 | 201021s2020 si ob 001 0 eng | ||
040 |
_a WSPC _b eng _c WSPC |
||
010 | _z 2020037906 | ||
020 |
_a9789811214820 _q(ebook) |
||
020 |
_z9789811214813 _q(hbk.) |
||
020 |
_z9789811215957 _q(pbk.) |
||
050 | 0 | 4 |
_aQA649 _b.N53 2020 |
072 | 7 |
_aMAT _x012010 _2bisacsh |
|
072 | 7 |
_aMAT _x012030 _2bisacsh |
|
072 | 7 |
_aMAT _x034000 _2bisacsh |
|
082 | 0 | 4 |
_a516.362 _223 |
100 | 1 |
_aNicolaescu, Liviu I. _921244 |
|
245 | 1 | 0 |
_aLectures on the geometry of manifolds _h[electronic resource] / _cby Liviu I. Nicolaescu. |
250 | _a3rd. ed. | ||
260 |
_aSingapore : _bWorld Scientific, _c2020. |
||
300 | _a1 online resource (xviii, 682 p.) | ||
520 | _a"The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton formulas), characteristic classes, elliptic equations on manifolds and Dirac operators. The new edition contains a new chapter on spectral geometry presenting recent results which appear here for the first time in printed form"--Publisher's website. | ||
505 | 0 | _aManifolds -- Natural constructions on manifolds -- Calculus on manifolds -- Riemannian geometry -- Elements of the calculus of variations -- The fundamental group and covering spaces -- Cohomology -- Characteristic classes -- Classical integral geometry -- Elliptic equations on manifolds -- Spectral geometry -- Dirac operators. | |
504 | _aIncludes bibliographical references and index. | ||
538 | _aMode of access: World Wide Web. | ||
538 | _aSystem requirements: Adobe Acrobat Reader. | ||
650 | 0 |
_aGeometry, Differential. _921245 |
|
650 | 0 |
_aManifolds (Mathematics) _910955 |
|
655 | 0 |
_aElectronic books. _93294 |
|
856 | 4 | 0 |
_uhttps://www.worldscientific.com/worldscibooks/10.1142/11680#t=toc _zAccess to full text is restricted to subscribers. |
942 | _cEBK | ||
999 |
_c72794 _d72794 |