From Frenet to Cartan The Method of Moving Frames is popular PDF and ePub book, written by Jeanne N. Clelland in 2017-03-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, From Frenet to Cartan The Method of Moving Frames can be Read Online from any device for your convenience.
From Frenet to Cartan The Method of Moving Frames Book PDF Summary
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™ to perform many of the computations involved in the exercises.
Detail Book of From Frenet to Cartan The Method of Moving Frames PDF
- Author : Jeanne N. Clelland
- Release : 29 March 2017
- Publisher : American Mathematical Soc.
- ISBN : 9781470429522
- Genre : Mathematics
- Total Page : 433 pages
- Language : English
- PDF File Size : 15,5 Mb
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