Introduction to Symmetry Analysis Paperback with CD-ROM (Cambridge Texts in Applied Mathematics): Brian J. Cantwell: 9780521777407: Amazon.com: Books

Introduction to Symmetry Analysis Paperback with CD-ROM (Cambridge Texts in Applied Mathematics) Pap/Cdr Edition

by Brian J. Cantwell (Author)

4 customer reviews

ISBN-13: 978-0521777407

ISBN-10: 0521777402

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This text offers a broad, self-contained, introduction to the basic concepts of symmetry analysis and is intended primarily for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. The software requires Mathematica 2.2 or higher. MathReader 4.0 is included to permit the user without access to Mathematica to read the sample notebooks and follow the procedure used to find symmetries.

Introduction to Symmetry Analysis Paperback with CD-ROM (Cambridge Texts in Applied Mathematics)

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Editorial Reviews

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'... an easy to read informal introduction to symmetry methods for ordinary and partial differential equations.' Monatshefte für Mathematik

'Overall, this was an enjoyable book to read, which I could recommend to someone to tackle as background reading. ... if one's interest is in the application of symmetry analysis to problems arising in fluids, then this book discusses 'how' in detail.' Peter Clarkson, University of Kent

Book Description

Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. This text offers a broad, self-contained, introduction to the basic conc epts of symmetry analysis and is intended primarily for first and second year graduate students in science, engineering and applied mathematics. The text emphasizes applications, and numerous worked examples are used to illustrate basic concepts. Mathematica-based software is included on a CD along with more than forty sample notebooks illustrating applications ranging from from simple, low order, ordinary differential equations to complex systems of partial differential equations.

Product details

Series: Cambridge Texts in Applied Mathematics (Book 29)
Paperback: 651 pages
Publisher: Cambridge University Press; Pap/Cdr edition (September 23, 2002)
Language: English
ISBN-10: 0521777402
ISBN-13: 978-0521777407
Product Dimensions: 7 x 1.3 x 10 inches
Shipping Weight: 1.8 pounds
Average Customer Review: 4 customer reviews
Amazon Best Sellers Rank: #3,426,146 in Books (See Top 100 in Books)
- #1770 in Books > Science & Math > Mathematics > Applied > Differential Equations
- #26409 in Books > Textbooks > Science & Mathematics > Mathematics

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I do not recommend this book to anyone

ByAmin Changizion September 22, 2014

Format: PaperbackVerified Purchase

As a mechanical engineer who has studied Lie symmetry for 20 years, I started reading this book and in the middle of book I lost the goal of the writer. Jump from here to there from theory to application. For example he started dimensional analysis and give a brief introduction and solved couple complected cases that as an engineer if I did not have experience on that I could not understand it. then he left it and did not use it. I do not recommend this book to anyone.

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Readable and Useful

ByDr. Dmitry A. Altshulleron June 22, 2004

Format: Paperback

This book is useful as both a primer on the subject and a research reference. It succeeds on both counts where a book by G. Baumann with a similar title fails.
The author does not assume any level of mahematical knowledge or sophistication beyond standard mathematical course work required of engineering students. It may be of importance to know that Professor Cantwell uses this book to teach a course at an engineerng department.
What makes this book especially valuable is the Mathematica package included on the CD-ROM. The symmetry calculations are often very tedious and complex. Thereore, there is a strong need to automate at least some of the work. A beginner can simply use some of the sample notebooks provided by the author and understand the method. A researcher can start with any of those notebooks, replace the author's equations with the ones of interest, and follow through the steps of the procedure.
If you are going to buy only one book on this subject, this has to be it!

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A decent introductory text on symmetries for fluid physicists and engineers

Bydhurandharon June 30, 2005

Format: Paperback

The book does a very good job of relating symmetry methods to fluid mechanics applications using physical interpretations of the results.

However, it lacks the clarity of algebra that the book by Bluman and Kumei offers. Also, author misses out on citing certain important contributions to symmetry methods by other workers (identities are protected to avoid animosity).

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good introduction into dealing with nonlinear pde's

ByN. A. Beishuizenon August 5, 2005

Format: Paperback

Like the introduction says: Symmetry methods based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computations. Have you always wondered why you need a computer to solve something 'simple' like the nonlinear Burgers equation? Well, this book shows you how far you can go using pen and paper. It is a very good book, but I highly recommend studying it together with an Abstract Algebra book.

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