1)算法方面比較好的書
《算法導論》,同時還有MIT的網易公開課http://v.163.com/special/opencourse/algorithms.html
2)數學方面比較好的書——林達華推薦
1. 線性代數: 關鍵的是要深入理解幾個基礎而又重要的概念:子空間(Subspace),正交(Orthogonality),特徵值和特徵向量(Eigenvalues and eigenvectors),和線性變換(Linear transform)。也有MIT網易公開課,但是感覺這種書還是自己仔細琢磨比較好~~
Introduction to Linear Algebra (3rd Ed.) by Gilbert Strang.(MIT經典教材)
2. 概率和統計 (Probability and Statistics): 先看一本書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. 可以用進一步深入學習貝葉斯統計和graphic models。
3. 分析(Analysis)
Principles
of Mathematical Analysis, by Walter Rudin
Introductory
Functional Analysis with Applications, by Erwin Kreyszig.
4.拓撲(Topology)
Topology
(2nd Ed.) by James Munkres
5. 流形理論(Manifold Theory)
Appendix: 原文鏈接http://blog.csdn.net/ffeng271/article/details/7164498