| 书目名称 | Conics and Cubics | | 副标题 | A Concrete Introduct | | 编辑 | Robert Bix | | 视频video | | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | Algebraic curves are the graphs of polynomial equations in two vari 3 ables, such as y3 + 5xy2 = x + 2xy. By focusing on curves of degree at most 3-lines, conics, and cubics-this book aims to fill the gap between the familiar subject of analytic geometry and the general study of alge braic curves. This text is designed for a one-semester class that serves both as a a geometry course for mathematics majors in general and as a sequel to college geometry for teachers of secondary school mathe matics. The only prerequisite is first-year calculus. On the one hand, this book can serve as a text for an undergraduate geometry course for all mathematics majors. Algebraic geometry unites algebra, geometry, topology, and analysis, and it is one of the most exciting areas of modem mathematics. Unfortunately, the subject is not easily accessible, and most introductory courses require a prohibitive amount of mathematical machinery. We avoid this problem by focusing on curves of degree at most 3. This keeps the results tangible and the proofs natural. It lets us emphasize the power of two fundamental ideas, homogeneous coordinates and intersection multiplicities. | | 出版日期 | Textbook 19981st edition | | 关键词 | Area; Calc; Grad; Mathematica; Microsoft Access; Natural; algebra; algebraic curve; algebraic geometry; analy | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-2975-7 | | isbn_ebook | 978-1-4757-2975-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York 1998 |
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发表于 2025-3-21 16:51:22
