微分方程用的对称和积分方法

ISBN: 9787506271899

出版社: 世界图书出版公司

出版年: 2004-11

页数: 419

定价: 59.00元

装帧: 简裝本

内容简介

The present book includes a comprehensive treatment of dimensional analysis. rhere is a full discussion of aspects of Lie groups of point transformations (point symmetries), contact symmetries, and higher-order symmetries that are essential for filing solutions of differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit algorithms to discover symmetries and integrating factors admitted by a given differential equation and to construct solutions and first integrals resulting from such symmetries and integrating factors. This book should be particularly suitable for applied mathematicians, engineers, and scientists interested in how to find systematically explicit solutions of differential equations. Almost all examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flow.