| 000 | 02511nam a22003378i 4500 | ||
|---|---|---|---|
| 001 | CR9780511844843 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160258.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 141103s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511844843 (ebook) | ||
| 020 | _z9780521896719 (hardback) | ||
| 020 | _z9780521721493 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA641 _b.B325 2010 |
| 082 | 0 | 0 |
_a516.3/6 _222 |
| 100 | 1 |
_aBär, Christian, _eauthor. |
|
| 245 | 1 | 0 |
_aElementary differential geometry / _cChristian Bär. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
|
| 300 |
_a1 online resource (xii, 317 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 05 Oct 2015). | ||
| 505 | 8 | _aMachine generated contents note: Preface; Notation; 1. Euclidean geometry; 2. Curve theory; 3. Classical surface theory; 4. The inner geometry of surfaces; 5. Geometry and analysis; 6. Geometry and topology; 7. Hints for solutions to (most) exercises; Formulary; List of symbols; References; Index. | |
| 520 | _aThe link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra. | ||
| 650 | 0 |
_aGeometry, Differential _vTextbooks. |
|
| 776 | 0 | 8 |
_iPrint version: _z9780521896719 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511844843 |
| 999 |
_c520123 _d520121 |
||