Theory of Lie Groups (Paperback)

Idioma: inglés

Editorial: Dover Publications Inc., New York, 2018

0486824535 / 9780486824536

Serie: Libro 3 de 29 - Princeton Mathematical

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Paperback. "Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . (Theory of Lie Groups) was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book remained the basic reference on Lie groups for at least two decades." - Bulletin of the American Mathematical Society Suitable for advanced undergraduate and graduate students of mathematics, this enduringly relevant text introduces the main basic principles that govern the theory of Lie groups. The treatment opens with an overview of the classical linear groups and of topological groups, focusing on the theory of covering spaces and groups, which is developed independently from the theory of paths. Succeeding chapters contain an examination of the theory of analytic manifolds as well as a combination of the notions of topological group and manifold that defines analytic and Lie groups. An exposition of the differential calculus of Cartan follows and concludes with an exploration of compact Lie groups and their representations. AUTHOR: Claude Chevalley (1909-84) received his doctorate in mathematics from the University of Paris in 1933 and was later at the Institute for Advanced Study in Princeton, New Jersey, and on the faculty of Columbia University. In the 1950s he returned to France and taught at his alma mater. In addition to his work on group theory, he made major contributions to several other areas of mathematics, including number theory and algebraic geometry. He was a member of the Bourbaki group and received the Cole Prize of the American Mathematical Society in 1941. His other books include Introduction to the Theory of Algebraic Functions of One Variable. The standard text on the subject for many years, this introductory treatment covers classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. 1946 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

N° de ref. del artículo 9780486824536

Título
Theory of Lie Groups (Paperback)
Autor
Claude Chevalley
Editorial
Dover Publications Inc., New York
Año de publicación
2018
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0486824535
ISBN 13
9780486824536
Serie
Libro 3 de 29: Princeton Mathematical

Grand Eagle Retail

Bensenville, IL, Estados Unidos de America

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Vendedor de AbeBooks desde 12 de octubre de 2005

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