The search for dark matter in the universe has established itself as one of the most exciting and central fields of astrophysics, particle physics and cosmology. The lectures and talks in this book emphasize the experimental and theoretical status and future perspectives, stressing in particular the interplay between astro- and particle physics.

This is a small book on algebra with a focus on the structure of fields. The author discusses polynomial and differential equations and the algebraic structure of their solutions. This text explores many unique and unusual subjects, including constructions with a ruler and compass, the transcendence of pi, and the impossibility of angle trisection.

The simulation of matter by direct computation of individual atomic motions has become an important element in the design of new drugs and in the construction of new materials. This book demonstrates how to implement the numerical techniques needed for such simulation, thereby aiding the design of new, faster, and more robust solution schemes. Clear explanations and many examples and exercises will ensure the value of this text for students, professionals, and researchers.

In he present book, we have put together the basic theory of the units and cuspidal divisor class group in the modular function fields, developed over the past few years. The units in these rings consist of those modular functions whitch have no zeros or poles in the upper half plane.