DIFFERENTIAL GEOMETRY AS YOU NEED IT IN SCIENCE AND ENGINEERING
 2010
Time and place:
When?
Dates: September 13, 15, 17, 21, 23, 27.
Time: 8:4515:30.
Where?
 Fredrik Bajersvej 7G 5109
Lecturers:
Course Literature:
Loring W. Tu, An Introduction to Manifolds, Universitext,
SpringerVerlag, 2008, ISBN13:9780387480985.
The university at Fredrik Bajersvej 7 has a few copies left.
An ebook 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, SpringerVerlag, 2006

F.W. Warner, Foundations of Differentiable Manifolds and Lie
Groups, Graduate Texts in Mathematics, SpringerVerlag, 1971
Software:
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.
Homework problems
This page is maintained by Martin Raussen, email: raussen(at)math.aau.dk.