Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly con- front the problem of dimensionality reduction: Þnding meaningful low-dimen- sional structur
John M. Lee三本经典中的第二本，主要讲光滑流形，是自学流形以及查阅资料绝佳选择，此版为2012新版，涵盖tangent and cotangent bundles，vector bundles, differential forms,tensors,De Rham Cohomology，Exponential Map，,流形的定向和流行上的微积分等。
