Differential Geometry:
This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous mann...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Toronto
University of Toronto Press
[2019]
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| Schriftenreihe: | Heritage
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| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 Volltext |
| Zusammenfassung: | This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous manner, accompanied by many examples which illustrate the ideas, methods, and results. The use of tensors is explained in detail, not omitting little formal tricks which are useful in their applications. Though never formalistic, it provides an introduction to Riemannian geometry. The theory of curves and surfaces in three-dimensional Euclidean space is presented in a modern way, and applied to various classes of curves and surfaces which are of practical interest in mathematics and its applications to physical, cartographical, and engineering problems. Considerable space is given to explaining and illustrating basic concepts such as curve, arc length, surface, fundamental forms; covariant and contravariant vectors; covariant, contravariant and mixed tensors, etc. Interesting problems are included and complete solutions are given at the end of the book, together with a list of the more important formulae. No pains have been spared in constructing suitable figures |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mrz 2019) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781487589455 |
| DOI: | 10.3138/9781487589455 |
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Datensatz im Suchindex
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| author | Kreyszig, Erwin |
| author_facet | Kreyszig, Erwin |
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| indexdate | 2024-07-10T08:30:28Z |
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| isbn | 9781487589455 |
| language | English |
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| spelling | Kreyszig, Erwin Verfasser aut Differential Geometry Erwin Kreyszig Toronto University of Toronto Press [2019] © 1959 1 online resource txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mrz 2019) This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous manner, accompanied by many examples which illustrate the ideas, methods, and results. The use of tensors is explained in detail, not omitting little formal tricks which are useful in their applications. Though never formalistic, it provides an introduction to Riemannian geometry. The theory of curves and surfaces in three-dimensional Euclidean space is presented in a modern way, and applied to various classes of curves and surfaces which are of practical interest in mathematics and its applications to physical, cartographical, and engineering problems. Considerable space is given to explaining and illustrating basic concepts such as curve, arc length, surface, fundamental forms; covariant and contravariant vectors; covariant, contravariant and mixed tensors, etc. Interesting problems are included and complete solutions are given at the end of the book, together with a list of the more important formulae. No pains have been spared in constructing suitable figures In English MATHEMATICS / Geometry / Differential bisacsh Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 Riemannsche Geometrie (DE-588)4128462-8 s 3\p DE-604 https://doi.org/10.3138/9781487589455 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kreyszig, Erwin Differential Geometry MATHEMATICS / Geometry / Differential bisacsh Differentialgeometrie (DE-588)4012248-7 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4128462-8 (DE-588)4151278-9 |
| title | Differential Geometry |
| title_auth | Differential Geometry |
| title_exact_search | Differential Geometry |
| title_full | Differential Geometry Erwin Kreyszig |
| title_fullStr | Differential Geometry Erwin Kreyszig |
| title_full_unstemmed | Differential Geometry Erwin Kreyszig |
| title_short | Differential Geometry |
| title_sort | differential geometry |
| topic | MATHEMATICS / Geometry / Differential bisacsh Differentialgeometrie (DE-588)4012248-7 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | MATHEMATICS / Geometry / Differential Differentialgeometrie Riemannsche Geometrie Einführung |
| url | https://doi.org/10.3138/9781487589455 |
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