Found 6 relevant results in 3.33s where lecturer="Oscar E. Lanford III"
Application-Oriented Set Theory
Anwendungsorientierte Mengenlehre
Some general methods of set theory which have important applications in other branches of Mathematics, including: arithmetic of the infinite cardinals and ordinals, well-ordering, transfinite induction and recursion, Zorn's lemma. Introduction to the axioms of set theory, "paradoxes", and "controversies".
Complex Analysis
Komplexe Analysis
Basics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms used in signal theory and network analysis.
Linear Algebra
Lineare Algebra
Contents: Linear systems - the Gaussian algorithm, matrices - LU decomposition, determinants, vector spaces, least squares - QR decomposition, linear maps, eigenvalue problem, normal forms - singular value decomposition; numerical aspects.
Mathematical Methods of Physics I
Mathematische Methoden der Physik I
Fourier series. Linear partial differential equations of mathematical physics. Fourier transform. Special functions and eigenfunction expansions. Distributions. Selected problems from quantum mechanics.
Mathematical Methods of Physics II
Mathematische Methoden der Physik II
Group theory: groups, representation of groups, unitary and orthogonal groups, Lorentz group. Lie theory: Lie algebras and Lie groups. Representation theory: representation theory of finite groups, representations of Lie algebras and Lie groups, physical applications (eigenvalue problems with symmetry).