株式会社極東書店トップ ＞ 商品一覧 ＞ Conics and Cubics : A Concrete Introduction to Algebraic Curves. Softcover reprint of hardcover 2nd ed. 2006.
商品詳細
Conics and Cubics : A Concrete Introduction to Algebraic Curves. Softcover reprint of hardcover 2nd ed. 2006.
・ISBN 978-1-4419-2178-9 paper EUR 49.99
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| 著者・編者 | Bix, Robert, |
|---|---|
| シリーズ | Undergraduate Texts in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2010 |
| ページ数 | 347 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24010＞ |
解説
Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas, homogeneous coordinates and intersection multiplicities.
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.