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By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout¿s Theorem on the number of intersections of two curves.
The book is a text for a one-semester course. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus.
The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes.
By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout¿s Theorem on the number of intersections of two curves.
The book is a text for a one-semester course. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus.
The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes.
Attractive subject area described by means of concrete and accessible examples
A large amount of illustrations
| Erscheinungsjahr: | 2006 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
viii
347 S. |
| ISBN-13: | 9780387318028 |
| ISBN-10: | 038731802X |
| Sprache: | Englisch |
| Herstellernummer: | 11014249 |
| Einband: | Gebunden |
| Autor: | Bix, Robert |
| Auflage: | 2nd edition 2006 |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 24 mm |
| Von/Mit: | Robert Bix |
| Erscheinungsdatum: | 24.07.2006 |
| Gewicht: | 0,699 kg |
Attractive subject area described by means of concrete and accessible examples
A large amount of illustrations
| Erscheinungsjahr: | 2006 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
viii
347 S. |
| ISBN-13: | 9780387318028 |
| ISBN-10: | 038731802X |
| Sprache: | Englisch |
| Herstellernummer: | 11014249 |
| Einband: | Gebunden |
| Autor: | Bix, Robert |
| Auflage: | 2nd edition 2006 |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 24 mm |
| Von/Mit: | Robert Bix |
| Erscheinungsdatum: | 24.07.2006 |
| Gewicht: | 0,699 kg |
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