Jurgen Jost

Dieses Lehrbuch bietet eine Einführung in die moderne Theorie der partiellen Differentialgleichungen. Der Leser wird zu den wichtigen Methoden und den wesentlichen Aussagen in diesem Bereich hingeführt, wobei der Schwerpunkt auf den elliptischen partiellen Differentialgleichungen liegt.

Chemistry shapes and creates the disposition of the world's resources and provides novel substances for the welfare and hazard of our civilisation at an exponential rate. Can we model the evolution of chemical knowledge? This book not only provides a positive answer to the question, it provides the formal models and available data to model chemical knowledge as a complex dynamical system based on the mutual interaction of the social, semiotic and material systems of chemistry. These systems, which have evolved over the history, include the scientists and institutions supporting chemical knowledge (social system); theories, concepts and forms of communication (semiotic system) and the substances, reactions and technologies (material system) central for the chemical practice.

by Jürgen Jost (Author)
Uniquely presents abstract notions that are standard tools in some fields
Is a comprehensive survey of contemporary mathematics with many examples
Includes applications to theoretical biology

This text explores the connection of Reimann surfaces with other fields of mathematics. It is intended as an introduction to contemporary mathematics and it includes background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry.