The International Doctoral school of Technology and Science

DIFFERENTIAL GEOMETRY AS YOU NEED IT IN SCIENCE AND ENGINEERING - 2010

Time and place:

When?

Dates: September 13, 15, 17, 21, 23, 27.
Time: 8:45-15:30.

Where?

Fredrik Bajersvej 7G 5-109

Lecturers:

List of Participants

Course Literature:

Loring W. Tu, An Introduction to Manifolds, Universitext, Springer-Verlag, 2008, ISBN-13:978-0-387-48098-5.
The university at Fredrik Bajersvej 7 has a few copies left.
An e-book version is available at the university library.

Supplementary reading:

Th. Aubin, A Course in Differential Geometry, Graduate Studies in Mathematics, AMS, 2001
D. Barden, Ch. Thomas, An introduction to differentiable manifolds, World Scientific
E. Bloch, A First Course in Geometric Topology and Differential Geometry , 1996, Birkhaeuser
W. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry , Revised 2nd Edition, Academic Press
K. Burns, M. Gidea, Differential Geometry and Topology: With a View to Dynamical Systems, Chapman & Hall/CRC
L. Conlon, Differentiable Manifolds: A first course, Birkhaeuser, 2001
U. C. De, A. A. Shaikh, Differential Geometry of Manifolds, Alpha Science, 2007
B.F. Doolin, C.F. Martin, Introduction to Differential Geometry for Engineers, Marcel Dekker, 1990
D.W. Henderson, DIFFERENTIAL GEOMETRY: A Geometric Introduction, Prentice Hall, 1997
J.M. Lee, Introduction to Smooth Manifolds, Graduate Texts in Mathematics, Springer-Verlag, 2006
F.W. Warner, Foundations of Differentiable Manifolds and Lie Groups, Graduate Texts in Mathematics, Springer-Verlag, 1971

Software:

3D-XplorMath-J Applets, in particular Surfaces.
Visual Geometry Pages
Imaginary
ENCYCLOPEDIE DES FORMES MATHEMATIQUES REMARQUABLES
Geometric laboratory, in particular Surfaces

Lecture Plans (will be posted when final):

Please find below the lecture plans for each day -- with a

flag for the newest ones.
These plans and additional material will be uploaded as soon as they are established.

Welcome to the course. A short introduction.
Day 1, September 13: Chapters 5, 6.
Day 2, September 15: Chapters 7, 2.
Day 3, September 17: Chapters 8, 9.
Day 4, September 21: Chapters 11, 12.
Day 5, September 23: Chapters 13, 14.
Day 6, September 27: Chapters 15, 16.

A few slides

Homework problems

Homework set 1
Homework set 2 (please use the corrected version, uploaded on September 29!)

This page is maintained by Martin Raussen, e-mail: raussen(at)math.aau.dk.