Symmetry in Mechanics: A Gentle, Modern Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2004
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modern undergraduate students - not the ideal students that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but appreciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathematicians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists. This book does not presume to improve on the classics in that genre. Rather, it aims to provide those classics with a large new generation of appreciative readers. This text introduces some basic constructs of modern symplectic geometry in the context of an old celestial mechanics problem, the two-body problem. We present the derivation of Kepler's laws of planetary motion from Newton's laws of gravitation, first in the style of an undergraduate physics course, and x Preface then again in the language of symplectic geometry. No previous exposure to symplectic geometry is required: we introduce and illustrate all necessary constructs |
| Beschreibung: | 1 Online-Ressource (XII, 193p. 30 illus) |
| ISBN: | 9781461201892 9780817641450 |
| DOI: | 10.1007/978-1-4612-0189-2 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153090143682560 |
|---|---|
| any_adam_object | |
| author | Singer, Stephanie Frank 1964- |
| author_GND | (DE-588)122914686 |
| author_facet | Singer, Stephanie Frank 1964- |
| author_role | aut |
| author_sort | Singer, Stephanie Frank 1964- |
| author_variant | s f s sf sfs |
| building | Verbundindex |
| bvnumber | BV042419473 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879621510 (DE-599)BVBBV042419473 |
| dewey-full | 512.55 512.482 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 512.482 |
| dewey-search | 512.55 512.482 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0189-2 |
| format | Electronic eBook |
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| isbn | 9781461201892 9780817641450 |
| language | English |
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| spelling | Singer, Stephanie Frank 1964- Verfasser (DE-588)122914686 aut Symmetry in Mechanics A Gentle, Modern Introduction by Stephanie Frank Singer Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XII, 193p. 30 illus) txt rdacontent c rdamedia cr rdacarrier "And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modern undergraduate students - not the ideal students that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but appreciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathematicians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists. This book does not presume to improve on the classics in that genre. Rather, it aims to provide those classics with a large new generation of appreciative readers. This text introduces some basic constructs of modern symplectic geometry in the context of an old celestial mechanics problem, the two-body problem. We present the derivation of Kepler's laws of planetary motion from Newton's laws of gravitation, first in the style of an undergraduate physics course, and x Preface then again in the language of symplectic geometry. No previous exposure to symplectic geometry is required: we introduce and illustrate all necessary constructs Mathematics Topological Groups Global differential geometry Topological Groups, Lie Groups Applications of Mathematics Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Symmetrie (DE-588)4058724-1 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 s Symmetrie (DE-588)4058724-1 s 1\p DE-604 Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0189-2 Verlag 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 | Singer, Stephanie Frank 1964- Symmetry in Mechanics A Gentle, Modern Introduction Mathematics Topological Groups Global differential geometry Topological Groups, Lie Groups Applications of Mathematics Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Symmetrie (DE-588)4058724-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd |
| subject_GND | (DE-588)4058724-1 (DE-588)4012248-7 (DE-588)4185100-6 |
| title | Symmetry in Mechanics A Gentle, Modern Introduction |
| title_auth | Symmetry in Mechanics A Gentle, Modern Introduction |
| title_exact_search | Symmetry in Mechanics A Gentle, Modern Introduction |
| title_full | Symmetry in Mechanics A Gentle, Modern Introduction by Stephanie Frank Singer |
| title_fullStr | Symmetry in Mechanics A Gentle, Modern Introduction by Stephanie Frank Singer |
| title_full_unstemmed | Symmetry in Mechanics A Gentle, Modern Introduction by Stephanie Frank Singer |
| title_short | Symmetry in Mechanics |
| title_sort | symmetry in mechanics a gentle modern introduction |
| title_sub | A Gentle, Modern Introduction |
| topic | Mathematics Topological Groups Global differential geometry Topological Groups, Lie Groups Applications of Mathematics Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Symmetrie (DE-588)4058724-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd |
| topic_facet | Mathematics Topological Groups Global differential geometry Topological Groups, Lie Groups Applications of Mathematics Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Symmetrie Differentialgeometrie Theoretische Mechanik |
| url | https://doi.org/10.1007/978-1-4612-0189-2 |
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