This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang Mills theory and string theory. Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps. A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation. Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang Mills equation, and discrete Painlevé equations.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
Key Phrases - Statistically Improbable Phrases (SIPs):
(learn more)
classical groups, infinitesimal transformations, lie groups, similarity solutions, exterior differential systems, invertible point transformation, point symmetry vector fields, algebra valued differential forms, jet bundle formalism, product cout, computer algebra applications, metric tensor field, using namespace std, recursion operators, soliton equations, vertical vector field, determining equations, exterior differential system, linear diffusion equation, eigenfunction equations, vector fields form, singular manifold Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries, Invariance of Differential Equations, Lie Algebra Valued Differential Forms, Introductory Examples, Cartan Fundamental Form, List of Lie Symmetry Vector Fields, Prolongation of Vector Fields, The Kowalevski, Lie Transformation Groups, Yang Mills, Lax Representations, Important Concepts, Given Lie Algebra, The Ernst Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
classical groups, infinitesimal transformations, lie groups, similarity solutions, exterior differential systems, invertible point transformation, point symmetry vector fields, algebra valued differential forms, jet bundle formalism, product cout, computer algebra applications, metric tensor field, using namespace std, recursion operators, soliton equations, vertical vector field, determining equations, exterior differential system, linear diffusion equation, eigenfunction equations, vector fields form, singular manifold Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries, Invariance of Differential Equations, Lie Algebra Valued Differential Forms, Introductory Examples, Cartan Fundamental Form, List of Lie Symmetry Vector Fields, Prolongation of Vector Fields, The Kowalevski, Lie Transformation Groups, Yang Mills, Lax Representations, Important Concepts, Given Lie Algebra, The Ernst Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
Listmania!
So You'd Like to...
Look for Similar Items by Category
- Books > Computers & Technology
- Books > New & Used Textbooks > Computer Science
- Books > New & Used Textbooks > Science & Mathematics > Mathematics > Algebra & Trigonometry
- Books > New & Used Textbooks > Science & Mathematics > Physics
- Books > Science & Math > Mathematics
- Books > Science & Math > Physics > Mathematical Physics
