Bøger af Jurgen Jost

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.

This book develops the important approaches to the existence and regularity of partial differential equations, in particular of elliptic (and parabolic) type, particularly those aspects and methods that are relevant not only for linear, but also for nonlinear equations.

This textbook on the calculus of variations covers from the basics to the modern aspects of the theory. It is intended to equip the reader to read present research papers in the subject.

Classical string theory is concerned with the propagation of classical 1-dimensional curves 'strings', and the theory has connections to the calculus of variations, minimal surfaces and harmonic maps. The quantization of string theory gives rise to problems in different areas, according to the method used. The representation theory of Lie, Kac-Moody and Virasoro algebras have been used for such quantization. In this lecture note the authors give an introduction to certain global analytic and probabilistic aspects of string theory. It is their intention to bring together, and make explicit the necessary mathematical tools. Researchers with an interest in string theory, in either mathematics or theoretical physics, will find this a stimulating volume.

Rhodos im Oktober. Sonne, Strand und antike Stätten. Alles könnte so schön sein. Die Detektive Peter und Stefan würden gern, weitab von Mord, Totschlag und Verbrechen, einen ungestörten Urlaub mit ihren Familien verbringen. Aber leider wird nicht viel daraus, denn ein fürchterliches Verbrechen wird, quasi direkt vor ihrer Nase verübt. Werden die Taunus-Ermittler zusammen mit dem örtlichen Kommissar herausbekommen, was wirklich geschah?

The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner.

This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry.

Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kahlerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kahler manifolds - Yang-Mills equations in vector bundles over manifolds.

Presents a survey of the field of dynamical systems and its significance for research in complex systems and other fields, based on an analysis of specific examples. This book explains the fundamental underlying mathematical concepts, with a focus on invariants of dynamical systems, including a systematic treatment of Morse-Conley theory.

Mathematical Methods in Biology and Neurobiology

The basic idea is to isolate a property that on one hand can be formulated solely in terms of the distance function and on the other hand is characteristic of nonpositive sectional curvature on a Riemannian manifold, and then to take this property as an axiom for defining a metric space of nonposi tive curvature.

In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while.

This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics.