Naive Lie Theory (Undergraduate Texts in Mathematics) by John Stillwell PDF

By John Stillwell

during this new textbook, acclaimed writer John Stillwell offers a lucid creation to Lie conception compatible for junior and senior point undergraduates. so that it will accomplish that, he makes a speciality of the so-called 'classical groups'' that catch the symmetries of actual, advanced, and quaternion areas. those symmetry teams should be represented by means of matrices, which permits them to be studied by means of straightforward tools from calculus and linear algebra.This naive method of Lie conception is initially because of von Neumann, and it truly is now attainable to streamline it through the use of ordinary result of undergraduate arithmetic. To make amends for the restrictions of the naive procedure, finish of bankruptcy discussions introduce very important effects past these proved within the publication, as a part of an off-the-cuff cartoon of Lie thought and its history.John Stillwell is Professor of arithmetic on the collage of San Francisco. he's the writer of numerous very popular books released via Springer, together with The 4 Pillars of Geometry (2005), components of quantity concept (2003), arithmetic and Its historical past (Second variation, 2002), Numbers and Geometry (1998) and parts of Algebra (1994).

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Naive Lie Theory (Undergraduate Texts in Mathematics) by John Stillwell

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