发表于2024-12-23
Algorithms in Real Algebraic Geometry 2024 pdf epub mobi 电子书
图书标签: 代数几何 Algorithms 符号计算 数学 量词消去 实闭合域 代数几何7 in
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.
Algorithms in Real Algebraic Geometry 2024 pdf epub mobi 电子书