Mathematics
Mathematical techniques and proofs essential for physics. Includes calculus, differential equations, linear algebra, and complex analysis applications.
Related Papers
Noether's Theorem on Symmetries
Explains how symmetries in physical systems lead to conservation laws. It is the result for laws such as the conservation of energy.
Feynman's Method of Integration
Explains how to differentiate under the integral sign. This is a very powerful technique in solving more complex integrals.
Integrating the Gaussian Function
This paper explores the derivation of the Gaussian integral using polar coordinates and the properties of the exponential function.
Eigenvalues of a Mobius Strip
Deriving the eigenvalues of mobius strip boundary conditions. Partially motivated by a scene in Avengers.
The Gamma Function
The gamma function allows the extension of the factorial function to non-integer values.
The Virial Theorem
The virial theorem relates the average kinetic energy of a system to its average potential energy.
Fourier Analysis
Fourier analysis is a mathematical technique used to decompose functions into their constituent frequencies. It is widely used in signal processing and data analysis.