**Functional Differential Geometry**

by Gerald Jay Sussman, Jack Wisdom

**Publisher**: MIT 2005**Number of pages**: 77

**Description**:

Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with unclear and informal symbol manipulation. To address this problem we use computer programs to communicate a precise understanding of the computations in differential geometry.

Download or read it online for free here:

**Download link**

(440KB, PDF)

## Similar books

**A Geometric Approach to Differential Forms**

by

**David Bachman**-

**arXiv**

This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.

(

**16021**views)

**Orthonormal Basis in Minkowski Space**

by

**Aleks Kleyn, Alexandre Laugier**-

**arXiv**

In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of metric tensor relative to orthonormal basis, procedure of orthogonalization. Contents: Preface; Minkowski Space; Examples of Minkowski Space.

(

**10527**views)

**Geometric Wave Equations**

by

**Stefan Waldmann**-

**arXiv**

We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.

(

**11133**views)

**Exterior Differential Systems and Euler-Lagrange Partial Differential Equations**

by

**R. Bryant, P. Griffiths, D. Grossman**-

**University Of Chicago Press**

The authors present the results of their development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems.

(

**17833**views)