Calculus and mathematical analysis

The aim of this book is twofold: to provide an introduction for newcomers to state of the art computer simulation techniques in space plasma physics and an overview of current developments.

At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems.

A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found.

Since the late 1980s, Toeplitz operators and matrices have remained a ?

Malliavin calculus provides an infinite-dimensional differential calculus in the context of continuous paths stochastic processes.

This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003).

This book presents a rigorous mathematical treatment of the theory of pricing and hedging of derivative securities by the principle of "e;no arbitrage"e;.

Nonlinear analysis has developed rapidly in the last three decades.