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From Frenet To Cartan The Method Of Moving Frames Graduate Studies In Mathematics Graduate Studies In Mathematics 178 Jeanne N Clelland

Name: From Frenet To Cartan The Method Of Moving Frames Graduate Studies In Mathematics Graduate Studies In Mathematics 178 Jeanne N Clelland
SKU: BELL-51663966
Price: 31.00 USD
Availability: InStock
Rating: 4.25 (88 reviews)

SKU: BELL-51663966

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From Frenet To Cartan The Method Of Moving Frames Graduate Studies In Mathematics Graduate Studies In Mathematics 178 Jeanne N Clelland instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 2.67 MB

Pages: 414

Author: Jeanne N. Clelland

ISBN: 9781470429522, 1470429527

Language: English

Year: 2017

Product desciption

From Frenet To Cartan The Method Of Moving Frames Graduate Studies In Mathematics Graduate Studies In Mathematics 178 Jeanne N Clelland by Jeanne N. Clelland 9781470429522, 1470429527 instant download after payment.

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 MapleTM to perform many of the computations involved in the exercises.