Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Lorentz-Minkowski SpacetimeCovers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.
Iterative Methods for Linear EquationsIntroduces iterative methods for linear equations, convergence criteria, gradient of quadratic forms, and classical force fields in complex atomistic systems.
Gaussian Random VectorsExplores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.