书目名称 | Rational Algebraic Curves | 副标题 | A Computer Algebra A | 编辑 | J. Rafael Sendra,Franz Winkler,Sonia Pérez-Díaz | 视频video | | 概述 | Nice and easy introduction to topic for students.Includes supplementary material: | 丛书名称 | Algorithms and Computation in Mathematics | 图书封面 |  | 描述 | Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and m- ern architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional practical importance as central objects in computer-aided geometric design. Modern airplanes, cars, and household appliances would be unthinkable without the computational manipulation of algebraic curves and surfaces. Algebraic curves and surfaces combine fas- nating mathematical beauty with challenging computational complexity and wide spread practical applicability. In this book we treat only algebraic curves, although many of the results and methods can be and in fact have been generalized to surfaces. Being the solution loci of algebraic, i. e. , polynomial, equations in two variables, plane algebraiccurvesarewellsuited forbeing investigatedwith symboliccomputer algebra methods. This is exactly the approach we take in our book. We apply algorithms from computer algebra to the analysis, and manipulation of al- braic curves. To a large extent this am | 出版日期 | Textbook 2008 | 关键词 | algebra; algebraic curves; computer; computer algebra; geometric computation; geometry; rational parametri | 版次 | 1 | doi | https://doi.org/10.1007/978-3-540-73725-4 | isbn_softcover | 978-3-642-09291-6 | isbn_ebook | 978-3-540-73725-4Series ISSN 1431-1550 | issn_series | 1431-1550 | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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