Differential geometry for physicists and mathematicians: moving frames and differential forms : from Euclid past Riemann
This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2010
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative - almost like a story being told - that does not impede sophistication and deep results. It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter. In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose |
| Beschreibung: | xvii, 293 p. ill |
| ISBN: | 9789814566407 |
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Datensatz im Suchindex
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| dewey-ones | 516 - Geometry |
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| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| spelling | Vargas, Jose G. Verfasser aut Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann Jose G. Vargas Singapore World Scientific Pub. Co. c2010 xvii, 293 p. ill txt rdacontent c rdamedia cr rdacarrier This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative - almost like a story being told - that does not impede sophistication and deep results. It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter. In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose Mathematical physics Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789814566391 http://www.worldscientific.com/worldscibooks/10.1142/8888#t=toc Verlag URL des Erstveroeffentlichers 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 |
| spellingShingle | Vargas, Jose G. Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann Mathematical physics Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4123623-3 |
| title | Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann |
| title_auth | Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann |
| title_exact_search | Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann |
| title_full | Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann Jose G. Vargas |
| title_fullStr | Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann Jose G. Vargas |
| title_full_unstemmed | Differential geometry for physicists and mathematicians moving frames and differential forms : from Euclid past Riemann Jose G. Vargas |
| title_short | Differential geometry for physicists and mathematicians |
| title_sort | differential geometry for physicists and mathematicians moving frames and differential forms from euclid past riemann |
| title_sub | moving frames and differential forms : from Euclid past Riemann |
| topic | Mathematical physics Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Mathematical physics Geometry, Differential Differentialgeometrie Lehrbuch |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8888#t=toc |
| work_keys_str_mv | AT vargasjoseg differentialgeometryforphysicistsandmathematiciansmovingframesanddifferentialformsfromeuclidpastriemann |