Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Machine Learning - 2019 (math-deep)-计算机科学

Algebra, Topology, Differential Calculus, and Optimization TheoryFor Computer Science and Machine LearningJean Gallier and Jocelyn Quaintance Department of Computer and Information ScienceUniversity of Pennsylvania Philadelphia, PA 19104, USA e-mail: jean@cis.upenn.educ:copyright: Jean GallierAugust 2, 20192ContentsContents 31 Introduction 172 Groups, Rings, and Fields 19 2.1 Groups, Subgroups, Cosets . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.2 Cyclic Groups . . . . . . . . . .