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Manifolds Books

This section contains free e-books and guides on Manifolds, some of the resources in this section can be viewed online and some of them can be downloaded.

Differentiable manifolds

The purpose of these notes is to introduce and study differentiable manifolds. Topics covered includes: Manifolds in Euclidean space, Abstract manifolds, The tangent space, Topological properties of manifolds, Vector fields and Lie algebras, Tensors, Differential forms and Integration.

Author(s):

s 132Pages

Lectures on the Geometry of Manifolds

This book introduces the reader to the concept of smooth manifold through abstract definitions and, more importantly, through many we believe relevant examples. Topics covered includes: Manifolds, Natural Constructions on Manifolds, Calculus on Manifolds, Riemannian Geometry, Elements of the Calculus of Variations, The Fundamental group and Covering Spaces, Cohomology, Characteristic classes, Classical Integral Geometry, Elliptic Equations on Manifolds and Dirac Operators.

Author(s):

s 570Pages

Notes on Basic 3 Manifold Topology

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages