How Long to Read Lie Algebraic Methods in Integrable Systems

How Long Does it Take to Read Lie Algebraic Methods in Integrable Systems?

It takes the average reader 6 hours and 14 minutes to read Lie Algebraic Methods in Integrable Systems by Amit K. Roy-Chowdhury

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

Description

Over the last thirty years, the subject of nonlinear integrable systems has grown into a full-fledged research topic. In the last decade, Lie algebraic methods have grown in importance to various fields of theoretical research and worked to establish close relations between apparently unrelated systems. The various ideas associated with Lie algebra and Lie groups can be used to form a particularly elegant approach to the properties of nonlinear systems. In this volume, the author exposes the basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. His emphasis is not on developing a rigorous mathematical basis, but on using Lie algebraic methods as an effective tool. The book begins by establishing a practical basis in Lie algebra, including discussions of structure Lie, loop, and Virasor groups, quantum tori and Kac-Moody algebras, and gradation. It then offers a detailed discussion of prolongation structure and its representation theory, the orbit approach-for both finite and infinite dimension Lie algebra. The author also presents the modern approach to symmetries of integrable systems, including important new ideas in symmetry analysis, such as gauge transformations, and the "soldering" approach. He then moves to Hamiltonian structure, where he presents the Drinfeld-Sokolov approach, the Lie algebraic approach, Kupershmidt's approach, Hamiltonian reductions and the Gelfand Dikii formula. He concludes his treatment of Lie algebraic methods with a discussion of the classical r-matrix, its use, and its relations to double Lie algebra and the KP equation.

How long is Lie Algebraic Methods in Integrable Systems?

Lie Algebraic Methods in Integrable Systems by Amit K. Roy-Chowdhury is 372 pages long, and a total of 93,744 words.

This makes it 126% the length of the average book. It also has 115% more words than the average book.

How Long Does it Take to Read Lie Algebraic Methods in Integrable Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 32 minutes to read Lie Algebraic Methods in Integrable Systems aloud.

What Reading Level is Lie Algebraic Methods in Integrable Systems?

Lie Algebraic Methods in Integrable Systems 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.

Where Can I Buy Lie Algebraic Methods in Integrable Systems?

Lie Algebraic Methods in Integrable Systems by Amit K. Roy-Chowdhury 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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