Dieses Lehrbuch bietet eine Einfuhrung in die moderne Theorie der partiellen Differentialgleichungen. Der Leser wird zu den wichtigen Methoden und den wesentlichen Aussagen in diesem Bereich hingefuhrt, wobei der Schwerpunkt auf den elliptischen partiellen Differentialgleichungen liegt. Ausgehend von der Laplace-Gleichung (harmonische Funktionen) entwickelt der Autor systematische Techniken, die auch auf grossere Klassen von Differentialgleichungen, und hier insbesondere auch auf nichtlineare Differentialgleichungen, anwendbar sind. Zur Veranschaulichung wurden zahlreiche Ubungsaufgaben...
Dieses Lehrbuch bietet eine Einfuhrung in die moderne Theorie der partiellen Differentialgleichungen. Der Leser wird zu den wichtigen Methoden und den...
"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jurgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the...
"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introdu...
The present book contains the lecture notes from a "Nachdiplomvorlesung," a topics course adressed to Ph. D. students, at the ETH ZUrich during the winter term 95/96. Consequently, these notes are arranged according to the requirements of organizing the material for oral exposition, and the level of difficulty and the exposition were adjusted to the audience in Zurich. The aim of the course was to introduce some geometric and analytic concepts that have been found useful in advancing our understanding of spaces of nonpos itive curvature. In particular in recent years, it has been realized...
The present book contains the lecture notes from a "Nachdiplomvorlesung," a topics course adressed to Ph. D. students, at the ETH ZUrich during the wi...
