How Long to Read Transformation Methods for Nonlinear Partial Differential Equations

How Long Does it Take to Read Transformation Methods for Nonlinear Partial Differential Equations?

It takes the average reader 5 hours and 40 minutes to read Transformation Methods for Nonlinear Partial Differential Equations by Dominic G B Edelen

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

Description

The purpose of the book is to provide research workers in applied mathematics, physics, and engineering with practical geometric methods for solving systems of nonlinear partial differential equations. The first two chapters provide an introduction to the more or less classical results of Lie dealing with symmetries and similarity solutions. The results, however, are presented in the context of contact manifolds rather than the usual jet bundle formulation and provide a number of new conclusions. The remaining three chapters present essentially new methods of solution that are based on recent publications of the authors'. The text contains numerous fully worked examples so that the reader can fully appreciate the power and scope of the new methods. In effect, the problem of solving systems of nonlinear partial differential equations is reduced to the problem of solving families of autonomous ordinary differential equations. This allows the graphs of solutions of the system of partial differential equations to be realized as certain leaves of a foliation of an appropriately defined contact manifold. In fact, it is often possible to obtain families of solutions whose graphs foliate an open subset of the contact manifold. These ideas are extended in the final chapter by developing the theory of transformations that map a foliation of a contact manifold onto a foliation. This analysis gives rise to results of surprising depth and practical significance. In particular, an extended Hamilton-Jacobi method for solving systems of partial differential equations is obtained. Contents:ForwardContact Manifolds, Ideals and Partial Differential EquationsAn Order Independent Method of CharacteristicsHorizontal Ideals, Foliations, and SolutionsPrimitive Integrals, Isovectors and ResolutionsExtended Canonical TransformationsAppendix A: An Alternative Treatment of Extended Canonical TransformationsAppendix B: Multiple Integral Variational ProblemsReferencesIndex Readership: Applied mathematicians, physicists and engineers. keywords:Bäcklund Theorem;Classical Symmetry;Similarity Methods;Contact Manifolds of Finite Order;Systems of Cartan Annihilating Vector Fields;Extended Canonical Transformations;Korteweg-De Vries Equation;Klein-Gordon;Sine-Gordon;Liouville;Monge-Ampère;Navier-Stokes Equations

How long is Transformation Methods for Nonlinear Partial Differential Equations?

Transformation Methods for Nonlinear Partial Differential Equations by Dominic G B Edelen is 340 pages long, and a total of 85,000 words.

This makes it 115% the length of the average book. It also has 104% more words than the average book.

How Long Does it Take to Read Transformation Methods for Nonlinear Partial Differential Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 44 minutes to read Transformation Methods for Nonlinear Partial Differential Equations aloud.

What Reading Level is Transformation Methods for Nonlinear Partial Differential Equations?

Transformation Methods for Nonlinear Partial Differential Equations 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 Transformation Methods for Nonlinear Partial Differential Equations?

Transformation Methods for Nonlinear Partial Differential Equations by Dominic G B Edelen 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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