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From Frenet to Cartan: The Method of Moving Frames by Jeanne N. Clelland (Hardcover, 2017)
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About this product
Product Information
The method of moving frames originated in the early nineteenth century with the notion of the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the study of surfaces. The method was brought to its full power in the early twentieth century by Elie Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. The main focus is on the use of this method to compute local geometric invariants for curves and surfaces in various 3-dimensional homogeneous spaces, including Euclidean, Minkowski, equi-affine, and projective spaces. Later chapters include applications to several classical problems in differential geometry, as well as an introduction to the nonhomogeneous case via moving frames on Riemannian manifolds. The book is written in a reader-friendly style, building on already familiar concepts from curves and surfaces in Euclidean space. A special feature of this book is the inclusion of detailed guidance regarding the use of the computer algebra system Maple (TM) to perform many of the computations involved in the exercises.Product Identifiers
PublisherAmerican Mathematical Society
ISBN-139781470429522
eBay Product ID (ePID)234017300
Product Key Features
Number of Pages414 Pages
LanguageEnglish
Publication NameFrom Frenet to Cartan: the Method of Moving Frames
Publication Year2017
SubjectMathematics
TypeTextbook
AuthorJeanne N. Clelland
SeriesGraduate Studies in Mathematics
FormatHardcover
Dimensions
Item Height254 mm
Item Width178 mm
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorJeanne N. Clelland
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