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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Paperback. Condizione: New. The notion of symmetry is important in many disciplines, including physics, art, and music. The modern mathematical way of treating symmetry is through transformation groups. This book offers an easy introduction to these ideas for the relative novice, such as undergraduates in mathematics or even advanced undergraduates in physics and chemistry. The first two chapters provide a warm-up to the material with, for example, a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. The notions of a transformation group and of an abstract group are then introduced.Group actions, orbits, and invariants are covered in the next chapter. The final chapter gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. Throughout the text, examples are drawn from many different areas of mathematics. Plenty of figures are included, and many exercises with hints and solutions will help readers master the material. Codice articolo LU-9780821836439
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Softcover. Condizione: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 00A10 AMS Vol.25 9780821836439 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2505326
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Condizione: New. Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. Series: Student Mathematical Library. Num Pages: 246 pages, Illustrations. BIC Classification: PBG. Category: (UU) Undergraduate. Dimension: 153 x 217 x 13. Weight in Grams: 312. . 2004. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821836439
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Condizione: New. Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. Series: Student Mathematical Library. Num Pages: 246 pages, Illustrations. BIC Classification: PBG. Category: (UU) Undergraduate. Dimension: 153 x 217 x 13. Weight in Grams: 312. . 2004. Paperback. . . . . Codice articolo V9780821836439
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Da: Rarewaves.com UK, London, Regno Unito
Paperback. Condizione: New. The notion of symmetry is important in many disciplines, including physics, art, and music. The modern mathematical way of treating symmetry is through transformation groups. This book offers an easy introduction to these ideas for the relative novice, such as undergraduates in mathematics or even advanced undergraduates in physics and chemistry. The first two chapters provide a warm-up to the material with, for example, a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. The notions of a transformation group and of an abstract group are then introduced.Group actions, orbits, and invariants are covered in the next chapter. The final chapter gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. Throughout the text, examples are drawn from many different areas of mathematics. Plenty of figures are included, and many exercises with hints and solutions will help readers master the material. Codice articolo LU-9780821836439
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