Theory of Lie Groups, Paperback by Chevalley, Claude, Brand New, Free shippin...

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Theory of Lie Groups
ISBN
9780486824536
Category

About this product

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486824535
ISBN-13
9780486824536
eBay Product ID (ePID)
239674374

Product Key Features

Number of Pages
224 Pages
Language
English
Publication Name
Theory of Lie Groups
Publication Year
2018
Subject
Group Theory, Algebra / Abstract
Type
Textbook
Subject Area
Mathematics
Author
Claude Chevalley
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
10.4 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
Trade
LCCN
2017-046119
Dewey Edition
23
Dewey Decimal
512/.482
Table Of Content
Table of Contents: Introduction I. The Classical Linear Groups II. Topological Groups III. Manifolds IV. Analytic Groups. Lie Groups V. The Differential Calculus of Cartan VI. Compact Lie Groups and Their Representations Index.
Synopsis
"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., 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., "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., 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., One of the first books to approach Lie groups from the global point of view, this introductory treatment was the standard text on the subject for many years. Topics include the classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. "The basic reference on Lie groups." -- Bulletin of the American Mathematical Society.
LC Classification Number
QA387.C4613 2018

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