User:Aidan.plenert.macdonald/Books/Math for Physics and Engineering

Math

 * Foundational Math
 * Measure (mathematics)
 * Sigma-algebra
 * Lebesgue measure


 * Functions
 * Bessel function
 * Green's function
 * Helmholtz equation
 * Legendre polynomials
 * Nowhere continuous function
 * Dirac delta function


 * Linear Algebra
 * Eigenmode expansion
 * Generalized Fourier series
 * Gram–Schmidt process
 * Inner product space
 * Orthogonal basis
 * Change of basis
 * Linear map
 * Eigendecomposition of a matrix
 * Transformation (function)


 * Differential Equations
 * Fourier transform
 * Laplace transform
 * Ordinary differential equation
 * Method of undetermined coefficients


 * Partial Differential Equations
 * Dirichlet boundary condition
 * Partial differential equation
 * Fourier series


 * Vector Calculus
 * Vector calculus
 * Stokes' theorem
 * Green's theorem
 * Divergence theorem
 * Vector calculus identities
 * Jacobian matrix and determinant


 * Physics
 * Maxwell's equations
 * Poynting vector
 * Lorentz force
 * Fermat's principle
 * Spatial frequency
 * D'Alembert's formula
 * Schrödinger equation
 * Phase velocity
 * Dispersion relation
 * Wave packet
 * Uncertainty principle
 * Gibbs free energy
 * Ensemble average
 * Diffraction
 * Rayleigh length
 * Angstrom
 * Wave equation
 * Generating function (physics)


 * Statistics
 * Gibbs measure
 * Markov property
 * Exponential family
 * Markov chain Monte Carlo
 * Metropolis–Hastings algorithm
 * Stochastic gradient descent
 * Characteristic function (probability theory)
 * Fast Fourier transform


 * Convex Optimization
 * Legendre transformation
 * Convex function
 * Convex conjugate
 * Convex optimization
 * Lagrange multiplier
 * Lagrangian relaxation
 * Duality (optimization)
 * Calculus of variations


 * Numerical Methods
 * Generating function
 * Lagrangian


 * Circuit Modeling
 * Scattering parameters


 * Other
 * Fermat's Last Theorem