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. These symmetry groups may be…
Specifikacia 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. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces.
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. 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. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the
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