Symmetry methods for differential equations: a beginner's guide

By:

Hydon, Peter E

Series: Cambridge text in applied mathematicsPublication details: Cambridge University Press, 2000. Cambridge:Description: xi, 213p.; pbk; 23cmISBN:

9780521497862

Subject(s):

DDC classification:

530.15535 HYD

Summary: Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors. cambridge.org/core/books/symmetry-methods-for-differential-equations/805DEEB7D5D0D2040A3A8444B1C8A33E#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	530.15535 HYD (Browse shelf(Opens below))	1	Available		031348

Includes bibliography and index

Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.

cambridge.org/core/books/symmetry-methods-for-differential-equations/805DEEB7D5D0D2040A3A8444B1C8A33E#fndtn-information

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