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portada Naive lie Theory (Undergraduate Texts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2008
Language
English
Pages
234
Format
Hardcover
Weight
1
ISBN
0387782141
ISBN13
9780387782140
Edition No.
2008
Categories

Naive lie Theory (Undergraduate Texts in Mathematics)

John Stillwell (Author) · Springer · Hardcover

Naive lie Theory (Undergraduate Texts in Mathematics) - John Stillwell

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Synopsis "Naive lie Theory (Undergraduate Texts in Mathematics) "

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).

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