It takes the average reader 7 hours to read From Frenet to Cartan: The Method of Moving Frames by Jeanne N. Clelland
Assuming a reading speed of 250 words per minute. Learn more
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 Mapleā¢ to perform many of the computations involved in the exercises.
From Frenet to Cartan: The Method of Moving Frames by Jeanne N. Clelland is 414 pages long, and a total of 105,156 words.
This makes it 140% the length of the average book. It also has 129% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 34 minutes to read From Frenet to Cartan: The Method of Moving Frames aloud.
From Frenet to Cartan: The Method of Moving Frames is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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