Symmetry Analysis of Differential Equations with Mathematica 9780387985527

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Название: Symmetry Analysis of Differential Equations with Mathematica
Перевод названия: Симметричный анализ дифференциальных уравнений
ISBN: 9780387985527
Издательство: Springer
Классификация:

Алгебра

Прикладная математика

Химия

Промышленный дизайн

ISBN-10: 0387985522
Обложка/Формат: Hardcover
Страницы: 533
Вес: 1.11 кг.
Дата издания: May 2000
Язык: English
Размер: 24.13 x 18.54 x 3.07 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: This is the first book which explicitly uses Mathematica (computer algebra system) to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lies theory. Heretofore time-consuming and cumbersome calculations if done by hand, are much more easily and quickly performed via the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, should be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. This book contains a large number of working examples relating to these applications of Lies theory. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which provide users with the capability of directly interacting with the code presented within the book. In addition, the authors proprietary MathLie software is included, so users can readily learn to use this powerful tool to perform algebraic computations.
Дополнительное описание: Илюстрации: 60
Круг читателей: Professional scientists, professional mathematicians,professional engineeers
Язык: eng
Оглавление: Introduction.- Elements of Symmetry Analysis.- Derivatives.- Symmetries of Ordinary Differential Equations.- Point Symmetries of Partial Differential Equations.- Non-Classical Symmetries of Partial Differential Equations.- Potential Symmetries of Partial Differential Equations.- Approximate Symmetries of Partial Differential Equations.- Generalized Symmetries of Partial Differential Equations.- Solution of Coupled Linear Partial Differential Equations.- Appendix.- Index.

Symmetry Analysis of Differential Equations with Mathematica,