# Mathematical Physics

- 1
- Commutative Hypercomplex Mathematics
- Page http://home.comcast.net/~cmdaven/hyprcplx.htm
- A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.

- 2
- Differential Equations and Oscillations
- Page http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
- Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations.

- 3
- Dimensional Analysis
- Page http://www.physics.uoguelph.ca/tutorials/dimanaly/
- A simple review of the powerful technique of dimensional analysis.

- 4
- Doing Physics with Quaternions
- Page http://world.std.com/~sweetser/quaternions/qindex/qindex.html
- A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.

- 5
- Euclidean Geometric Transforms for Physics
- Page http://physicstransforms.tripod.com/
- A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the inter-relationship of physics formulas.

- 6
- Geometry and Duality
- Page http://online.itp.ucsb.edu/online/geom/
- Lecture notes from the ITP miniprogram on Geometry and Duality

- 7
- Local Quantum Physics Crossroads
- Page http://www.lqp.uni-goettingen.de/lqp/
- An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).

- 8
- Mathematical Physics
- Page http://www1.uprh.edu/rbaretti/
- Numerical codes are provided for a variety of problems. From the University of Puerto Rico at Humacao.

- 9
- Non Commutative Geometry
- Page http://dftuz.unizar.es/~rivero/research/index.html
- Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.

- 10
- Non Deterministic Approaches
- Page http://www.ndaportal.com/
- NDAPortal.com is a free online repository and community dealing with uncertainty and variability in applied mechanics and engineering that explains the application of probabilistic and possibilistic methods in engineering projects.

- 11
- On Mathematics, Mathematical Physics, Truth and Reality
- Page http://www.spaceandmotion.com/mathematical-physics/logic-truth-reality.htm
- How mathematics exists in the universe and is related to physical reality.

- 12
- On the Origins of Twister Theory
- Page http://users.ox.ac.uk/~tweb/00001/
- A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.

- 13
- Open Problems in Mathematics and Physics
- Page http://www.openproblems.net/
- Links to open problems in mathematics, physics and other subjects.

- 14
- Period and Energy in One Degree of Freedom Systems
- Page http://gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.pdf
- An article by Jorge Rezende, University of Lisbon. [PDF]

- 15
- Solitons
- Page http://www.ma.hw.ac.uk/solitons/
- Resources at Heriot-Watt University. Meetings, local and other links.

- 16
- This Week's Finds in Mathematical Physics
- Page http://math.ucr.edu/home/baez/TWF.html
- This is a column written about modern topics in mathematical physics.

- 17
- Boltzmann Transport Equation
- Page http://urila.tripod.com/Boltzmann.htm
- A paper by Uri Lachish studying transport phenomena: currents and transport coefficients; thermally induced diffusion.

- 18
- Center for Statistical Mechanics and Mathematical Physics
- Page http://www.mathphys.vt.edu/
- An interdisciplinary center at Virginia Tech. Staff and research interests.