Gallier J., Quaintance J. Algebra, Topology, Differential Calculus, and Optimization Theory for Computer Science and Machine Learning

University of Pennsylvania (Dept. of Computer and Information Science), 2019. — 1962 p.Groups, Rings, and Fields.
Linear Algebra.
Affine and Projective Geometry.
The Geometry of Bilinear Forms.
Algebra: PID’s, UFD’s, Noetherian Rings, Tensors, Modules over a PID, Normal Forms.
Topology, Differential Calculus.
Preliminaries for Optimization Theory.
Linear Optimization.
NonLinear Optimization.
Applications to Machine Learning.
Appendices.