Why Quantum Mechanics: Radiation Quanta
Classical mechanics assigns a particle a continuous trajectory, while classical electrodynamics permits radiation to exchange energy continuou...
Classical mechanics assigns a particle a continuous trajectory, while classical electrodynamics permits radiation to exchange energy continuou...
Coordinate transformations, degrees of freedom, generalized velocities, virtual work, and D'Alembert's equation.
Newtonian motion in uniform electric, magnetic, and crossed fields, including gyroradius, gyrofrequency, and drift.
For a square matrix $A$, an eigenpair satisfies
Direct elimination seeks the solution after a finite sequence of row operations. An iterative method instead starts from a trial vector $\math...
A system of $n$ simultaneous linear equations is written as
Suppose $y_i=f(x_i)$ is known at equally spaced points
A numerical root of $f(x)=0$ is an approximation to a value $\alpha$ for which $f(\alpha)=0$. Bracketing methods preserve an interval containi...
A numerical answer is an approximation whenever the input data or the arithmetic has finite precision. Error analysis records how far an appro...
Boundary conditions, source-free wave equations, dielectric plane waves, and Poynting's theorem.