Naive Lie Theory

• Main Author: Stillwell, John (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Topological groups.; Lie groups.; Topological Groups, Lie Groups.

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...

Table of Contents:

• 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.