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The final version of a course on algorithmic information theory and the epistemology of mathematics. The book discusses the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasi-empirical.
This book presents familiar elements of estimation theory from an analog perspective. It discusses recent developments in the theory of analog estimation and presents new results that offer flexibility in empirical research.
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
From the table of contents: Classical Field Theory (Models in field theory, Cauchy problem for Jacobi fields, Feynman propagator, Classical perturbation theory …); Quantization of non-gauge field theories; Quantization of gauge field theories.