'Et moi, ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...

In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called Nonstandard analysis'. Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier.
During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been...

Significant, and usually unwelcome, surprises, such as floods, financial crises, or epileptic seizures are the topics of this book. It describes unifying and distinguishing features of extreme events, including problems of understanding and modelling their origin, spatial and temporal extension, and potential impact.

In October 1998 a conference was held in Lisbon to celebrate the 60th birthday of Ludwig Streit. This volume collects some of the papers presented at the conference as well as other essays contributed by the many friends and collaborators who wanted to honour Ludwig Streit's scientific career and personality. The contributors cover many aspects of contemporary mathematical physics. Of particular importance were new results on infinite-dimensional stochastic analysis and its applications to a wide range of physical domains.