Mathematics & physics
This Chapter contains descriptions of the mathematical and physical concepts and algorithms that are commonly used in most engineering domains:
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Linear algebra: matrix computations, solving sets of linear equations, (weighted) pseudo-inverses, Singular Value Decomposition, eigen decomposition, …
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Analysis: integration and differentiation, integrals, …
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Geometry: 2D/3D positions and orientations of points, lines, and frames, manifold and vector field, SE(2) and SE(3), exponential and logarithm in Lie groups, screw theory, …
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Statistics & Bayesian information theory: probability density functions, mean and variance, Bayes rule, Kalman filter, Particle filter, EM algorithm, …
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Numerical solvers: constrained optimization, Ordinary Differential Equations (ODE), Partial Differential Equations (PDE), Differential-Algebraic Equations (DAE), …
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Graph theory: navigation over graphs, minimal spanning trees, cutsets, …
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Mechanics: Newton's laws, Euler equations, d'Alembert and Gauss' principles, …