转：关于数学学习,推荐一篇好文
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
climbing
topology
1. (Linear Algebra)
Learning Introduction to Linear Algebra (3rd Ed.) by Gilbert Strang.
MIT —— MATLAB (Subspace) (Orthogonality) (Eigenvalues and eigenvectors) (Linear transform) MATLAB Strang
MIT (18.06) video MIT Open courseware
/OcwWeb/Mathematics/18-06Spring-
2005/CourseHome/index.htm
2. (Probability and Statistics): (
)
Applied Multivariate Statistical Analysis (5th Ed.) by Richard A. Johnson and Dean W. Wichern
Linear regression, factor analysis, principal component analysis (PCA), and canonical component analysis (CCA) Learning
Graphical models (To my great acknowledgement, it is just for research.)
Introduction to Graphical Models (draft version). by M. Jordan and C. Bishop.
Learning in Graphical Models statistical learning MIT access
3. (Analysis) ( )
Principles of Mathematical Analysis, by Walter Rudin
—— Rudin
(Functional Analysis)
Introductory Functional Analysis with Applications, by Erwin Kreyszig.
learning Rudin functional analysis learning
(Measure theory) quant ibank profit, risk
hedging
4. (Topology)
Topology (2nd Ed.) by James Munkres
Munkres MIT (General topology) (Algebraic topology) Nagata- Smirnov Theorem Tychonoff theorem ——
5. (Manifold theory)
Introduction to Smooth Manifolds. by John M. Lee
introduction manifold, ( vision manifold learning it is just for papers vision manifold l1- norm vision tangent space, bundle, sub-manifold (Category theory) (De Rham cohomology)
——
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction. by Brian C. Hall
exponential mapping “ (Left-invariant vector field)“
————————————————————————————
Vision, Learning
!