By John Stillwell

During this new textbook, acclaimed writer John Stillwell offers a lucid advent to Lie conception compatible for junior and senior point undergraduates. in an effort to accomplish that, he makes a speciality of the so-called "classical groups'' that catch the symmetries of genuine, advanced, and quaternion areas. those symmetry teams might be represented via matrices, which permits them to be studied by means of ordinary tools from calculus and linear algebra. This naive method of Lie thought is initially as a result of von Neumann, and it's now attainable to streamline it through the use of commonplace result of undergraduate arithmetic. To make amends for the constraints of the naive process, finish of bankruptcy discussions introduce vital effects past these proved within the e-book, as a part of a casual comic strip of Lie conception and its heritage. John Stillwell is Professor of arithmetic on the college of San Francisco. he's the writer of numerous very hot books released through Springer, together with The 4 Pillars of Geometry (2005), parts of quantity conception (2003), arithmetic and Its historical past (Second version, 2002), Numbers and Geometry (1998) and components of Algebra (1994).