| 000 | 02566nam a22004335i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-49510-1 | ||
| 003 | DE-He213 | ||
| 005 | 20250710084004.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387495101 _a99780387495101 |
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| 024 | 7 |
_a10.1007/978-0-387-49510-1 _2doi |
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| 082 | 0 | 4 |
_a514.74 _223 |
| 100 | 1 |
_aNicolaescu, Liviu. _eauthor. |
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| 245 | 1 | 3 |
_aAn Invitation to Morse Theory _h[recurso electrónico] / _cby Liviu Nicolaescu. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2007. |
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| 300 |
_aXIV, 241 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_arecurso en línea _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 | _aUniversitext | |
| 505 | 0 | _aMorse Functions -- The Topology of Morse Functions -- Applications -- Basics of Complex Morse Theory -- Exercises and Solutions. | |
| 520 | _aThis self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory (over the reals). The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a. Picard-Lefschetz theory. This is the first textbook to include topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The exposition is enhanced with examples, problems, and illustrations, and will be of interest to graduate students as well as researchers. The reader is expected to have some familiarity with cohomology theory and with the differential and integral calculus on smooth manifolds. Liviu Nicolaescu is Associate Professor of Mathematics at University of Notre Dame. | ||
| 650 | 0 | _aMATHEMATICS. | |
| 650 | 0 | _aGLOBAL ANALYSIS. | |
| 650 | 0 |
_aCELL AGGREGATION _xMATHEMATICS. |
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| 650 | 1 | 4 | _aMATHEMATICS. |
| 650 | 2 | 4 | _aGLOBAL ANALYSIS AND ANALYSIS ON MANIFOLDS. |
| 650 | 2 | 4 | _aMANIFOLDS AND CELL COMPLEXES (INCL. DIFF.TOPOLOGY). |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387495095 |
| 830 | 0 | _aUniversitext | |
| 856 | 4 | 0 |
_uhttp://dx.doi.org/10.1007/978-0-387-49510-1 _zVer el texto completo en las instalaciones del CICY |
| 912 | _aZDB-2-SMA | ||
| 942 |
_2ddc _cER |
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_c57855 _d57855 |
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