Elementary geometry of differentiable curves: an undergraduate introduction
This genuine 2001 introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and conta...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
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| Links: | https://doi.org/10.1017/CBO9781139173377 |
| Zusammenfassung: | This genuine 2001 introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. The basic concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The singular viewpoint is represented by a study of contact with lines and circles, illuminating the ideas of cusp, inflexion and vertex. There are two major physical applications. Caustics are discussed via the central concepts of evolute and orthotomic. The final chapters introduce the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature. |
| Umfang: | 1 Online-Ressource (xvii, 216 Seiten) |
| ISBN: | 9781139173377 |
Internformat
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| 520 | |a This genuine 2001 introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. The basic concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The singular viewpoint is represented by a study of contact with lines and circles, illuminating the ideas of cusp, inflexion and vertex. There are two major physical applications. Caustics are discussed via the central concepts of evolute and orthotomic. The final chapters introduce the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature. | ||
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Datensatz im Suchindex
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| id | ZDB-20-CTM-CR9781139173377 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:05Z |
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| isbn | 9781139173377 |
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| spelling | Gibson, Christopher G. 1940- Elementary geometry of differentiable curves an undergraduate introduction C.G. Gibson Cambridge Cambridge University Press 2001 1 Online-Ressource (xvii, 216 Seiten) txt c cr This genuine 2001 introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. The basic concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The singular viewpoint is represented by a study of contact with lines and circles, illuminating the ideas of cusp, inflexion and vertex. There are two major physical applications. Caustics are discussed via the central concepts of evolute and orthotomic. The final chapters introduce the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature. Erscheint auch als Druck-Ausgabe 9780521011075 Erscheint auch als Druck-Ausgabe 9780521804530 |
| spellingShingle | Gibson, Christopher G. 1940- Elementary geometry of differentiable curves an undergraduate introduction |
| title | Elementary geometry of differentiable curves an undergraduate introduction |
| title_auth | Elementary geometry of differentiable curves an undergraduate introduction |
| title_exact_search | Elementary geometry of differentiable curves an undergraduate introduction |
| title_full | Elementary geometry of differentiable curves an undergraduate introduction C.G. Gibson |
| title_fullStr | Elementary geometry of differentiable curves an undergraduate introduction C.G. Gibson |
| title_full_unstemmed | Elementary geometry of differentiable curves an undergraduate introduction C.G. Gibson |
| title_short | Elementary geometry of differentiable curves |
| title_sort | elementary geometry of differentiable curves an undergraduate introduction |
| title_sub | an undergraduate introduction |
| work_keys_str_mv | AT gibsonchristopherg elementarygeometryofdifferentiablecurvesanundergraduateintroduction |