Overview

Dieses Lehrbuch bietet eine Einfuhrung in die Differentialgeometrie von Kurven und Flachen. Es ist in der vorliegenden dritten, uberarbeiteten Auflage um Loesungshinweise sowie Anwendungen in der Kartografie erweitert. Themen sind u. a. euklidische Geometrie, Kurventheorie, Flachentheorie, Krummungsbegriffe, Minimalflachen, Riemannsche Geometrie und der Satz von Gauss-Bonnet.

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9783110336818

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Reviews

From reviews of previous editions: This is a highly recommendable textbook dealing with an introduction to differential geometry. It presents all features which are important for a useful text to be taken by a student as a background to become acquainted with the subject and to have a reference for further studies available [...] -- Bernd Wegner, Zentralblatt f r Mathematik A terrific new book on differential geometry: a preliminary chapter eases the way from the familiar axiomatic treatment into the differential perspective. There are also very good discussions about discrete approximations to curves and surfaces, a complete proof of the existence of triangulations on surfaces, and a beautiful discussion of cartography and constant curvature geometries. B r provides plenty of intuition and many examples, while not stinting on the rigor. -- Rafe Mazzeo, Stanford University

From reviews of previous editions: This is a highly recommendable textbook dealing with an introduction to differential geometry. It presents all features which are important for a useful text to be taken by a student as a background to become acquainted with the subject and to have a reference for further studies available [...] -- Bernd Wegner, Zentralblatt fur Mathematik A terrific new book on differential geometry: a preliminary chapter eases the way from the familiar axiomatic treatment into the differential perspective. There are also very good discussions about discrete approximations to curves and surfaces, a complete proof of the existence of triangulations on surfaces, and a beautiful discussion of cartography and constant curvature geometries. Bar provides plenty of intuition and many examples, while not stinting on the rigor. -- Rafe Mazzeo, Stanford University

Author Information

Christian Bar, Universitat Potsdam, Germany.

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