| 书目名称 | Conics and Cubics |
| 副标题 | A Concrete Introduct |
| 编辑 | Robert Bix |
| 视频video | |
| 概述 | Attractive subject area described by means of concrete and accessible examples.A large amount of illustrations |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Textbook 2006Latest edition |
| 关键词 | Area; Grad; algebra; algebraic curve; calculus; geometry; mathematics; proof; theorem |
| 版次 | 2 |
| doi | https://doi.org/10.1007/0-387-39273-4 |
| isbn_softcover | 978-1-4419-2178-9 |
| isbn_ebook | 978-0-387-39273-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer-Verlag New York 2006 |
发表于 2025-3-21 18:55:27
