**Differential Geometry: Lecture Notes**

by Dmitri Zaitsev

**Publisher**: Trinity College Dublin 2004**Number of pages**: 49

**Description**:

From the table of contents: Chapter 1. Introduction to Smooth Manifolds; Chapter 2. Basic results from Differential Topology; Chapter 3. Tangent spaces and tensor calculus; Tensors and differential forms; Chapter 4. Riemannian geometry.

Download or read it online for free here:

**Download link**

(290KB, PDF)

## Similar books

**Differential Geometry Of Three Dimensions**

by

**C.E. Weatherburn**-

**Cambridge University Press**

The book is devoted to differential invariants for a surface and their applications. By the use of vector methods the presentation is both simplified and condensed, and students are encouraged to reason geometrically rather than analytically.

(

**8570**views)

**Course of Differential Geometry**

by

**Ruslan Sharipov**-

**Samizdat Press**

Textbook for the first course of differential geometry. It covers the theory of curves in three-dimensional Euclidean space, the vectorial analysis both in Cartesian and curvilinear coordinates, and the theory of surfaces in the space E.

(

**15157**views)

**Elementary Differential Geometry**

by

**Gilbert Weinstein**-

**UAB**

These notes are for a beginning graduate level course in differential geometry. It is assumed that this is the students' first course in the subject. Thus the choice of subjects and presentation has been made to facilitate a concrete picture.

(

**12665**views)

**Topics in Differential Geometry**

by

**Peter W. Michor**-

**American Mathematical Society**

Fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry.

(

**10606**views)