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: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
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| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9781139173377 https://doi.org/10.1017/CBO9781139173377 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (xvii, 216 pages) |
| ISBN: | 9781139173377 |
| DOI: | 10.1017/CBO9781139173377 |
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| 245 | 1 | 0 | |a Elementary geometry of differentiable curves |b an undergraduate introduction |c C.G. Gibson |
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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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| author | Gibson, Christopher G. 1940- |
| author_facet | Gibson, Christopher G. 1940- |
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| dewey-full | 516.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139173377 |
| format | Electronic eBook |
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| id | DE-604.BV043943294 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:20Z |
| institution | BVB |
| isbn | 9781139173377 |
| language | English |
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| physical | 1 online resource (xvii, 216 pages) |
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| publishDate | 2001 |
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| publisher | Cambridge University Press |
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| spelling | Gibson, Christopher G. 1940- Verfasser aut Elementary geometry of differentiable curves an undergraduate introduction C.G. Gibson Cambridge Cambridge University Press 2001 1 online resource (xvii, 216 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Curves Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Kurve (DE-588)4033824-1 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Kurve (DE-588)4033824-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-01107-5 Erscheint auch als Druckausgabe 978-0-521-80453-0 https://doi.org/10.1017/CBO9781139173377 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gibson, Christopher G. 1940- Elementary geometry of differentiable curves an undergraduate introduction Curves Differentialgeometrie (DE-588)4012248-7 gnd Kurve (DE-588)4033824-1 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4033824-1 |
| 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 |
| topic | Curves Differentialgeometrie (DE-588)4012248-7 gnd Kurve (DE-588)4033824-1 gnd |
| topic_facet | Curves Differentialgeometrie Kurve |
| url | https://doi.org/10.1017/CBO9781139173377 |
| work_keys_str_mv | AT gibsonchristopherg elementarygeometryofdifferentiablecurvesanundergraduateintroduction |