By Jost-Hinrich Eschenburg,Jürgen Jost

Das vorliegende Lehrbuch bietet eine moderne Einführung in die Differenzialgeometrie - etwa im Umfang einer einsemestrigen Vorlesung. Zunächst behandelt es die Geometrie von Flächen im Raum. Viele Beispiele schulen Leser in geometrischer Anschauung, deren wichtigste Klasse die Minimalflächen bilden. Zu ihrem Studium entwickeln die Autoren analytische Methoden und lösen in diesem Zusammenhang das Plateausche challenge. Es besteht darin, eine Minimalfläche mit vorgegebener Berandung zu finden. Als Beispiel einer globalen Aussage der Differenzialgeometrie beweisen sie den Bernsteinschen Satz. Weitere Kapitel behandeln die innere Geometrie von Flächen einschließlich des Satzes von Gauss-Bonnet, und stellen die hyperbolische Geometrie ausführlich dar. Die Autoren verknüpfen geometrische Konstruktionen und analytische Methoden und folgen damit einem zentralen development der modernen mathematischen Forschung. Verschiedene geistesgeschichtliche Bemerkungen runden den textual content ab. Die Neuauflage wurde überarbeitet und aktualisiert.

Show description

Read or Download Differentialgeometrie und Minimalflächen (Springer-Lehrbuch Masterclass) (German Edition) PDF

Similar geometry & topology books

Raymond A. Ryan's Introduction to Tensor Products of Banach Spaces (Springer PDF

This is often the 1st ever really introductory textual content to the speculation of tensor items of Banach areas. insurance incorporates a complete therapy of the Grothendieck concept of tensor norms, approximation estate and the Radon-Nikodym estate, Bochner and Pettis integrals. each one bankruptcy includes labored examples and a collection of routines, and appendices provide fabric on summability in Banach areas and houses of areas of measures.

New PDF release: Lie Sphere Geometry: With Applications to Submanifolds

Thomas Cecil is a math professor with an unrivalled clutch of Lie Sphere Geometry. right here, he presents a transparent and entire smooth therapy of the topic, in addition to its purposes to the examine of Euclidean submanifolds. It starts off with the development of the gap of spheres, together with the basic notions of orientated touch, parabolic pencils of spheres, and Lie sphere adjustments.

Download e-book for iPad: Tensors and Riemannian Geometry: With Applications to by Nail H. Ibragimov,Higher Education Press

This publication relies at the adventure of training the topic by means of the writer in Russia, France, South Africa and Sweden. the writer presents scholars and academics with a simple to keep on with textbook spanning a number of subject matters on tensors, Riemannian geometry and geometric method of partial differential equations.

Topological Algebras and their Applications: Proceedings of by Alexander Katz PDF

Lawsuits of the eighth foreign convention of Topological Algebras and Their functions (ICTAA-2014), hung on could 26-30, 2014 in Playa de Villas de Mar seashore, devoted to the reminiscence of Anastasios Mallios (Athens, Greece). This sequence of meetings began in 1999 in Tartu, Estoniaand have been as a consequence heldin Rabat, Moroco (2000), Oulu, Finland (2001), Oaxaca, Mexico (2002), Bedlewo, Poland (2003), Athens, Greece (2005)and Tartu, Estonia (2008 and 2013).

Additional info for Differentialgeometrie und Minimalflächen (Springer-Lehrbuch Masterclass) (German Edition)

Example text

Download PDF sample

Differentialgeometrie und Minimalflächen (Springer-Lehrbuch Masterclass) (German Edition) by Jost-Hinrich Eschenburg,Jürgen Jost


by Anthony
4.2

Read e-book online Differentialgeometrie und Minimalflächen (Springer-Lehrbuch PDF
Rated 4.76 of 5 – based on 46 votes