Mathematics

An international Summer School on: "e;Modular functions of one variable and arithmetical applications"e; took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972.

Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field.

The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent.

Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application.

The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known.

The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn.

These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968.