MIT OCW Applied Math notes

http://ocw.mit.edu/OcwWeb/Mathematics/18-075Fall-2004/LectureNotes/index.htm

MIT Open Coure Ware notes on applied math

Mathematica 7 Tour video

http://www.youtube.com/watch?v=ilm14HYsl6M


Video del YouTube muestra un breve tour por el Mathematica versión 7.

Mathematics...

" Mathematics is the part of Physics where experiments are cheap"

Physicsebooks.info : Share for all

http://physicsebooks.info/

Phys and Math books free share. Nice collection!!

LOGIN:

User Name: kowalski

Password: [ver email]

PASSWORD TO OPEN ARCHIVES (BOOKS):

physicsbooks.info

Wolfram Mathworld

http://mathworld.wolfram.com/

Ejemplo:

Gauge Theory

Gauge theory studies principal bundle connections, called gauge fields, on a principal bundle. These connections correspond to fields, in physics, such as an electromagnetic field, and the Lie group of the principal bundle corresponds to the symmetries of the physical system. The base manifold to the principal bundle is usually a four-dimensional manifold which corresponds to space-time. In the case of an electromagnetic field, the symmetry group is the unitary group . The other two groups that arise in physical theories are the special unitary groups and . Also, a group representation of the symmetry group, called internal space, gives rise to an associated vector bundle.

Actually,the principal bundle connections which minimize an energy functional are the only ones of physical interest. For example, the Yang-Mills connections minimize the Yang-Mills functional. These connections are useful in low-dimensional topology. In fact, in Donaldson theory, the collection of Yang-Mills connections gives topological invariants of the base manifold .


SEE ALSO: Donaldson Theory, Group Representation, Lie Group, Manifold, Principal Bundle, Seiberg-Witten Equations, Vector Bundle
This entry contributed by Todd Rowland


REFERENCES:

Friedman, R. and Morgan, J. W. (Eds.). Gauge Theory and the Topology of Four-Manifolds. Providence, RI: Amer. Math. Soc., 1998.
Naber, G. Topology, Geometry, and Gauge Fields. New York: Springer-Verlag, 2000.


CITE THIS AS:

Rowland, Todd. "Gauge Theory." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/GaugeTheory.html

Magma: math software

Magma Calculator on line:

http://magma.maths.usyd.edu.au/calc/

Magma Home Page

http://magma.maths.usyd.edu.au/magma/

Magma Help

http://magma.maths.usyd.edu.au/magma/htmlhelp/MAGMA.htm

e.g. Groups of Lie type:

http://www.umich.edu/~gpcc/scs/magma/text502.htm

Sage: free, open-source Math Software

SAGE: Software for Algebra and Geometry Experimentation

http://www.sagemath.org/

http://www.sagemath.org/doc/tutorial/index.html

Virtual Math Museum

http://virtualmathmuseum.org/

Para ver las animaciones, se necesita el

http://3d-xplormath.org/j/index_en.html

(de esa página se puede descargar para cualquier plataforma)

Greatest eqs ever poll

Click on the image to see it full size

Mathematics Resources on the Web

http://mthwww.uwc.edu/wwwmahes/files/math01.htm

A Catalog of Mathematics Resources on the WWW and the Internet
(by M. Maheswaran )

--------------------------------------------------------------------

Conference and Lecture Announcements
Hints
Organizational servers
WWW Home Pages
Gopher Servers
FTP Servers

Guides and Finding Aids
Guides to Mathematics on the Web
Lists of Web servers
Web searchers and finding aids

Journals, publications, preprints, announcements, Web Pages, and discussions
Preprints, Web Pages, and News
Electronic Journals
Electronic Faces of Printed Journals
Lecture Notes, Conference Abstracts, and Conference Proceedings
Nonmathematical Online Publications
Bulletin Boards and Discussion/Announcement Media
Job Listings

Addresses, bibliographies, history
Address lists
Bibliographies
History and Biography
Libraries

Cousin subjects
Computer Science Preprints
Physics Preprints
Statistics on the Web

Networking
Policy, Problems, and Future for the Internet and Computing

Software and documentation
TeX archives
TeX documentation
Software and online documentation

Pedagogy and Outreach
Learning and teaching mathematics and related subjects
Undergraduate pages
Graduate education
Reading and writing mathematics
Museums and exhibits

Funding Agencies
Funding agencies page

Miscellaneous mathematical resources
Specialized Services

Assorted services
Commercial Online Services
Traveler's Aids
Reference works

Vendors
Publishers and Booksellers
Computer and Software Suppliers

The subsidiary files
Internet servers for mathematical organizations
Mathematical Resources on the Web - Main List
More Mathematical Resources on the Web
Software and Documentation

Closing matter
Acknowledgments
University of Florida Mathematics Home Page