Algorithmic Lie Theory for Solving Ordinary Differential Equations by Fritz Schw

Description: Algorithmic Lie Theory for Solving Ordinary Differential Equations by Fritz Schwarz Despite the fact that Sophus Lies theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it became possible to apply Lie theory to concrete problems. Taking this approach, Algorithmic Lie Theory for Solving Ordinary Differential Equations serves as a valuable introduction for solving differential equations using Lies theory and related results.After an introductory chapter, the book provides the mathematical foundation of linear differential equations, covering Loewys theory and Janet bases. The following chapters present results from the theory of continuous groups of a 2-D manifold and discuss the close relation between Lies symmetry analysis and the equivalence problem. The core chapters of the book identify the symmetry classes to which quasilinear equations of order two or three belong and transform these equations to canonical form. The final chapters solve the canonical equations and produce the general solutions whenever possible as well as provide concluding remarks. The appendices contain solutions to selected exercises, useful formulae, properties of ideals of monomials, Loewy decompositions, symmetries for equations from Kamkes collection, and a brief description of the software system ALLTYPES for solving concrete algebraic problems. FORMAT Paperback LANGUAGE English CONDITION Brand New Author Biography Schwarz, Fritz Table of Contents Introduction. Linear Differential Equations. Lie Transformation Groups. Equivalence and Invariants of Differential Equations. Symmetries of Differential Equations. Transformation to Canonical Form. Solution Algorithms. Concluding Remarks. Appendices. References. Index. Details ISBN0367388545 Author Fritz Schwarz Pages 448 Publisher Taylor & Francis Ltd Series Chapman & Hall/CRC Pure and Applied Mathematics Year 2019 ISBN-10 0367388545 ISBN-13 9780367388546 Format Paperback Place of Publication London Country of Publication United Kingdom DEWEY 515.35 Affiliation Fraunhofer Gesellschaft, Sankt Augustin, Germany Publication Date 2019-09-05 Language English UK Release Date 2019-09-05 AU Release Date 2019-09-05 NZ Release Date 2019-09-05 Alternative 9781032295923 Audience Tertiary & Higher Education Imprint Chapman & Hall/CRC We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134920560;

Price: 198.11 AUD

Location: Melbourne

End Time: 2025-02-12T06:17:47.000Z

Shipping Cost: 12.05 AUD