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020 _a9780821868928
040 _aNISER LIBRARY
_bENG
_cNISER LIBRARY
082 _a512.643
_bTAP-M
100 _aTapp, Kristopher
245 _aMatrix groups for undergraduates
260 _aRhode Island:
_bAmerican Mathematical Society,
_c2014.
300 _av, 166p.
_c22 cm.
440 _aStudent mathematical library; volume 29
504 _aIncludes bibliographical references and index.
520 _aMatrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a one - semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups. Matrix Groups for undergraduates are concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigour and intuition to describe the basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori. The volume is suitable for graduate students and researchers interested in group theory.
650 _aCOMPACT GROUPS
650 _aLINEAR ALGEBRAIC GROUPS
650 _aMATRIX GROUPS
650 _aCLASSIFICATION COMPACT
650 _aMAXIMAL TORI
942 _2udc
_cN
999 _c34841
_d34841