From Frenet to Cartan: The Method of Moving Frames (Graduate Studies in Mathematics) - Maplesoft Books - Maple Books, Maple Resources and Math Books
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From Frenet to Cartan: The Method of Moving Frames (Graduate Studies in Mathematics)

From Frenet to Cartan: The Method of Moving Frames (Graduate Studies in Mathematics)

Jeanne N. Clelland

2017
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Description
 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 to perform many of the computations involved in the exercises.
Categories:
Abstract Algebra | Computer Algebra | Differential Geometry | Linear Algebra
Other Details
Language: English
ISBN: 978-1470429522
Publisher: American Mathematical Society

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