1)算法方面比较好的书
《算法导论》,同时还有MIT的网易公开课http://v.163.com/special/opencourse/algorithms.html
2)数学方面比较好的书——林达华推荐
1. 线性代数: 关键的是要深入理解几个基础而又重要的概念:子空间(Subspace),正交(Orthogonality),特征值和特征向量(Eigenvalues and eigenvectors),和线性变换(Linear transform)。也有MIT网易公开课,但是感觉这种书还是自己仔细琢磨比较好~~
Introduction to Linear Algebra (3rd Ed.) by Gilbert Strang.(MIT经典教材)
2. 概率和统计 (Probability and Statistics): 先看一本书Applied Multivariate Statistical Analysis (5th Ed.) by Richard A. Johnson and Dean W. Wichern,掌握基本概念
Linear
regression, factor analysis, principal component analysis (PCA), and canonical component analysis (CCA)。Introduction
to Graphical Models (draft version). by M. Jordan and C. Bishop. 可以用进一步深入学习贝叶斯统计和graphic models。
3. 分析(Analysis)
Principles
of Mathematical Analysis, by Walter Rudin
Introductory
Functional Analysis with Applications, by Erwin Kreyszig.
4.拓扑(Topology)
Topology
(2nd Ed.) by James Munkres
5. 流形理论(Manifold Theory)
Appendix: 原文链接http://blog.csdn.net/ffeng271/article/details/7164498