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_aNISER LIBRARY _bENG _cNISER LIBRARY |
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082 |
_a512.643 _bTAP-M |
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100 | _aTapp, Kristopher | ||
245 | _aMatrix groups for undergraduates | ||
260 |
_aRhode Island: _bAmerican Mathematical Society, _c2014. |
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300 |
_av, 166p. _c22 cm. |
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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 | ||
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_c34841 _d34841 |