Elementary geometry of algebraic curves: an undergraduate introduction
This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1998
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, whilst the ideas of linear systems are used to discuss the classical group structure on the cubic |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 250 pages) |
| ISBN: | 9781139173285 |
| DOI: | 10.1017/CBO9781139173285 |
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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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| author_sort | Gibson, Christopher G. 1940- |
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| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139173285 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:19Z |
| institution | BVB |
| isbn | 9781139173285 |
| language | English |
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| spelling | Gibson, Christopher G. 1940- Verfasser aut Elementary geometry of algebraic curves an undergraduate introduction C.G. Gibson Cambridge Cambridge University Press 1998 1 online resource (xvi, 250 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, whilst the ideas of linear systems are used to discuss the classical group structure on the cubic Curves, Algebraic Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s 1\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-64140-1 Erscheint auch als Druckausgabe 978-0-521-64641-3 https://doi.org/10.1017/CBO9781139173285 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 |
| spellingShingle | Gibson, Christopher G. 1940- Elementary geometry of algebraic curves an undergraduate introduction Curves, Algebraic Algebraische Kurve (DE-588)4001165-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001165-3 (DE-588)4001161-6 |
| title | Elementary geometry of algebraic curves an undergraduate introduction |
| title_auth | Elementary geometry of algebraic curves an undergraduate introduction |
| title_exact_search | Elementary geometry of algebraic curves an undergraduate introduction |
| title_full | Elementary geometry of algebraic curves an undergraduate introduction C.G. Gibson |
| title_fullStr | Elementary geometry of algebraic curves an undergraduate introduction C.G. Gibson |
| title_full_unstemmed | Elementary geometry of algebraic curves an undergraduate introduction C.G. Gibson |
| title_short | Elementary geometry of algebraic curves |
| title_sort | elementary geometry of algebraic curves an undergraduate introduction |
| title_sub | an undergraduate introduction |
| topic | Curves, Algebraic Algebraische Kurve (DE-588)4001165-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Curves, Algebraic Algebraische Kurve Algebraische Geometrie |
| url | https://doi.org/10.1017/CBO9781139173285 |
| work_keys_str_mv | AT gibsonchristopherg elementarygeometryofalgebraiccurvesanundergraduateintroduction |