By John Stillwell

In this new textbook, acclaimed writer John Stillwell offers a lucid creation to Lie conception compatible for junior and senior point undergraduates. with a purpose to do so, he makes a speciality of the so-called "classical groups'' that trap the symmetries of genuine, complicated, and quaternion areas. those symmetry teams could be represented by means of matrices, which permits them to be studied via undemanding equipment 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 by utilizing commonplace result of undergraduate arithmetic. To catch up on the restrictions of the naive strategy, finish of bankruptcy discussions introduce vital effects past these proved within the ebook, as a part of an off-the-cuff cartoon of Lie conception and its history.

John Stillwell is Professor of arithmetic on the collage of San Francisco. he's the writer of numerous very hot books released by means of Springer, together with The 4 Pillars of Geometry (2005), components of quantity thought (2003), arithmetic and Its historical past (Second version, 2002), Numbers and Geometry (1998) and parts of Algebra (1994).

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