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Original Essays | April 29, 2013
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This title in other editionsOther titles in the Cambridge Tracts in Mathematics series:
Cambridge Tracts in Mathematics #111: Affine Differential Geometryby Katsumi Nomizu
Synopses & ReviewsPublisher Comments:Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic account of affine differential geometry from a contemporary view. It covers not only the classical theory, but also introduces the modern developments of the past decade. The authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the latter. Some of the important geometric surfaces considered are illustrated by computer graphics.
Synopsis:This title offers a self-contained, contemporary account of the theory of differential geometry, suitable for graduate students.
Synopsis:This is a self-contained and systematic account of affine differential geometry from a contemporary viewpoint, not only covering the classical theory, but also introducing the modern developments that have happened over the last decade. In order both to cover as much as possible and to keep the text of a reasonable size, the authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the last. Some of the important geometric surfaces considered are illustrated by computer graphics, making this a physically and mathematically attractive book for all researchers in differential geometry, and for mathematical physicists seeking a quick entry into the subject.
Synopsis:This is a self-contained and systematic account of affine differential geometry from a contemporary view, not only covering the classical theory, but also introducing the modern developments that have happened over the last decade. The authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. Computer generated illustrations make this a physically and mathematically attractive book for all researchers in differential geometry.
Synopsis:A self-contained, contemporary account of the theory of differential geometry, suitable for graduate students.
Description:Includes bibliographical references (p. [246]-255) and index.
Table of Contents1. Affine geometry and affine connections; 2. Geometry of affine immersions: the basic theory; 3. Models with remarkable properties; 4. Affine-geometric structures.
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