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We present an introduction to the theory of wavelets with an emphasis in applications. The theory of wavelets is the latest comer to the world of signal processing (more than 20 years now). It grew and brewed in different areas of science.
The author gives an introductory overview of type theory for PhD students. He focuses on the use of type theory for compile-time checking of functional programs and on the use of types in proof assistants (theorem provers).
A graduate-level introduction to astrophysical cosmology, with emphasis on the standard big bang theory of the universe and its extension to a more detailed theory that is presently the leading scenario for the origin of structure in the universe.