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Catalogue Information
Field name	Details
Dewey Class	512.482
Title	Naive Lie Theory ([Ebook]) / by John Stillwell.
Author	Stillwell, John
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2008.
Physical Details	XIII, 218 pages : online resource.
Series	Undergraduate texts in mathematics 0172-6056
ISBN	9780387782157
Summary Note	In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).:
Contents note	Preface -- Geometry of complex numbers and quaternions -- Groups -- Generalized rotation groups -- The exponential map -- The tangent space -- Structure of lie algebras -- The matrix logarithm -- Topology -- Simply connected Lie groups -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-78214-0
Links to Related Works	Subject References: Lie groups . Topological groups . Topological groups, Lie groups . Authors: Stillwell, John . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 512.482 . 512.482 (DDC 22) .

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Naive Lie Theory

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