Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Iterative Methods for Linear EquationsIntroduces iterative methods for linear equations, convergence criteria, gradient of quadratic forms, and classical force fields in complex atomistic systems.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Optimization MethodsCovers optimization methods without constraints, including gradient and line search in the quadratic case.