**Differential Geometry: A First Course in Curves and Surfaces**

by Theodore Shifrin

**Publisher**: University of Georgia 2015**Number of pages**: 127

**Description**:

Contents: Curves (Examples, Arclength Parametrization, Local Theory: Frenet Frame, Some Global Results), Surfaces: Local Theory (Parametrized Surfaces and the First Fundamental Form, The Gauss Map and the Second Fundamental Form, The Codazzi and Gauss Equations, Covariant Differentiation, Parallel Translation, and Geodesics) Surfaces: Further Topics (Holonomy and the Gauss-Bonnet Theorem, Hyperbolic Geometry, Surface Theory with Differential Forms, Calculus of Variations and Surfaces of Constant Mean Curvature).

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Differential Geometry Course Notes**

by

**Richard Koch**-

**University of Oregon**

These are differential geometry course notes. From the table of contents: Preface; Curves; Surfaces; Extrinsic Theory; The Covariant Derivative; The Theorema Egregium; The Gauss-Bonnet Theorem; Riemann's Counting Argument.

(

**7375**views)

**Differential Geometry**

by

**Balazs Csikos**-

**Eötvös Loránd University**

Contents: Basic Structures on Rn, Length of Curves; Curvatures of a Curve; Plane Curves; 3D Curves; Hypersurfaces; Surfaces in 3-dimensional space; Fundamental equations of hypersurface theory; Topological and Differentiable Manifolds; etc.

(

**8236**views)

**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.

(

**3902**views)

**Lectures on Differential Geometry**

by

**Wulf Rossmann**-

**University of Ottawa**

This is a collection of lecture notes which the author put together while teaching courses on manifolds, tensor analysis, and differential geometry. He offers them to you in the hope that they may help you, and to complement the lectures.

(

**7631**views)