How Long to Read Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions

How Long Does it Take to Read Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions?

It takes the average reader 1 hour and 41 minutes to read Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions by Percy Deift

Assuming a reading speed of 250 words per minute. Learn more

Description

The theory of classical $R$-matrices provides a unified approach to the understanding of most, if not all, known integrable systems. This work, which is suitable as a graduate textbook in the modern theory of integrable systems, presents an exposition of $R$-matrix theory by means of examples, some old, some new. In particular, the authors construct continuous versions of a variety of discrete systems of the type introduced recently by Moser and Vesclov. In the framework the authors establish, these discrete systems appear as time-one maps of integrable Hamiltonian flows on co-adjoint orbits of appropriate loop groups, which are in turn constructed from more primitive loop groups by means of classical $R$-matrix theory. Examples include the discrete Euler-Arnold top and the billiard ball problem in an elliptical region in $n$ dimensions. Earlier results of Moser on rank 2 extensions of a fixed matrix can be incorporated into this framework, which implies in particular that many well-known integrable systems--such as the Neumann system, periodic Toda, geodesic flow on an ellipsoid, etc.--can also be analyzed by this method.

How long is Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions?

Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions by Percy Deift is 101 pages long, and a total of 25,351 words.

This makes it 34% the length of the average book. It also has 31% more words than the average book.

How Long Does it Take to Read Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 18 minutes to read Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions aloud.

What Reading Level is Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions?

Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions is suitable for students ages 10 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.

Where Can I Buy Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions?

Loop Groups, Discrete Versions of Some Classical Integrable Systems, and Rank 2 Extensions by Percy Deift is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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