# Mathematical Physics

- 1
- Differential Equations and Oscillations
- 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
- Doing Physics with Quaternions
- A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.

- 4
- Euclidean Geometric Transforms for Physics
- 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
- Local Quantum Physics Crossroads
- An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).

- 7
- Mathematical Physics
- Numerical codes are provided for a variety of problems. From the University of Puerto Rico at Humacao.

- 8
- Non Deterministic Approaches
- 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.

- 9
- On Mathematics, Mathematical Physics, Truth and Reality
- How mathematics exists in the universe and is related to physical reality.

- 10
- On the Origins of Twister Theory
- A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.

- 11
- Open Problems in Mathematics and Physics
- Links to open problems in mathematics, physics and other subjects.

- 12
- Period and Energy in One Degree of Freedom Systems
- An article by Jorge Rezende, University of Lisbon. [PDF]

- 14
- This Week's Finds in Mathematical Physics
- This is a column written about modern topics in mathematical physics.

- 15
- Boltzmann Transport Equation
- A paper by Uri Lachish studying transport phenomena: currents and transport coefficients; thermally induced diffusion.

- 16
- Center for Statistical Mechanics and Mathematical Physics
- An interdisciplinary center at Virginia Tech. Staff and research interests.

- 17
- Entropy
- Online journal intended for collegiate audiences. Provides links to web-based articles as well as some "basic" lessons on entropy.

- 18
- Molecular Dynamics Simulator
- Java applets to simulate motion of molecules under different potentials.