| 000 | 02331nam a22003257a 4500 | ||
|---|---|---|---|
| 001 | sulb-eb0016654 | ||
| 003 | BD-SySUS | ||
| 005 | 20160405140617.0 | ||
| 008 | 110217s2012||||enk o ||1 0|eng|d | ||
| 020 | _a9781139022248 (ebook) | ||
| 020 | _z9780521116077 (hardback) | ||
| 020 | _z9780521133111 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP _dBD-SySUS. |
||
| 050 | 0 | 0 |
_aQA641 _b.M38 2013 |
| 082 | 0 | 0 |
_a516.3/6 _223 |
| 100 | 1 |
_aMcCleary, John, _eauthor. |
|
| 245 | 1 | 0 |
_aGeometry from a Differentiable Viewpoint / _cJohn McCleary. |
| 250 | _a2nd ed. | ||
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2012. |
|
| 300 |
_a1 online resource (368 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 500 | _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016). | ||
| 520 | _aThe development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics and the use of transformations such as the reflections of the Beltrami disk. | ||
| 650 | 0 | _aGeometry, Differential | |
| 776 | 0 | 8 |
_iPrint version: _z9780521116077 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9781139022248 |
| 942 |
_2Dewey Decimal Classification _ceBooks |
||
| 999 |
_c38092 _d38092 |
||