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Intended for undergraduate and graduate students, this text introduces the concept of a transformation group through an interdisciplinary approach, explaining theories with examples from several fields of mathematics, including an elementary exposition of Lie's symmetry analysis of differential equations. Chapter topics include the algebra of points, plane movements, transformation groups, arbitrary groups, orbits and ornaments, other types of transformations, and symmetries of differential equations. This volume includes hints and solutions for exercises in the text. Annotation 2004 Book News, Inc., Portland, OR (booknews.com)
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