| 000 | 02456nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781107324893 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160305.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 141103s2014||||enk o ||1 0|eng|d | ||
| 020 | _a9781107324893 (ebook) | ||
| 020 | _z9781107042193 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA641 _b.R46 2014 |
| 082 | 0 | 0 |
_a516.3/6 _223 |
| 100 | 1 |
_aRenteln, Paul, _d1959- _eauthor. |
|
| 245 | 1 | 0 |
_aManifolds, tensors, and forms : _ban introduction for mathematicians and physicists / _cPaul Renteln, California State University, San Bernardino, and California Institute of Technology. |
| 246 | 3 | _aManifolds, Tensors, & Forms | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2014. |
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| 300 |
_a1 online resource (xii, 329 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aLinear algebra -- Multilinear algebra -- Differentiation on manifolds -- Homotopy and de Rham cohomology -- Elementary homology theory -- Integration on manifolds -- Vector bundles -- Geometric manifolds -- The degree of a smooth map. | |
| 520 | _aProviding a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193. | ||
| 650 | 0 |
_aGeometry, Differential _vTextbooks. |
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| 650 | 0 |
_aManifolds (Mathematics) _vTextbooks. |
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| 650 | 0 |
_aCalculus of tensors _vTextbooks. |
|
| 650 | 0 |
_aForms (Mathematics) _vTextbooks. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107042193 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781107324893 |
| 999 |
_c520691 _d520689 |
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