Mathematical Basics

Here are a number of short reviews of key mathematical concepts which are important in quantum theory.

• Probability
• Complex Numbers
•  Differential Equations
•  Operator Algebra
•  Eigenvalue Equations
• Vectors
•  Matrices
• Coordinate Systems
• Cartesian
• Spherical Polar
• Special Functions
• Trigonometric
• Sine: Sin
• Cosine: Cos
• Tangent: Tan
• Cotangent: Cot
• Secant: Sec
• Cosecant: Csc
• Hyperbolic
• Hyperbolic Sine: Sinh
• Hyperbolic Cosine: Cosh
• Hyperbolic Tangent: Tanh
• Hyperbolic Cotangent: Coth
• Hyperbolic Secant:Sech
• Hyperbolic Cosecant: Csch
• Exponential
• Logarithmic
• From Differential Equations
• Bessel Functions
• Hermite Polynomials
• Legendre Polynomials
• Laguerre Polynomials