NAIVE LIE THEORY

NAIVE LIE THEORY

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.
Editora: SPRINGER VERLAG
ISBN: 0387782141
ISBN13: 9780387782140
Edição: 1ª Edição - 2008
Número de Páginas: 218
Acabamento: HARDCOVER
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