000 01763nam a22002417a 4500
999 _c50298
_d50298
005 20190422144954.0
008 180926b xxu||||| |||| 00| 0 eng d
020 _a9780883857571
028 _aAtlantic Publishers & Distributors (P)LTD.
_b;7/22,Anasri Road, Daryaganj,New Delhi-110002
_c;1083081
_d;19/09/2018
082 _a512.2 CAR
100 _aNathan C Carter
245 _aVisual group theory
_c/Nathan C Carter
260 _aWashington, D.C.
_b : Mathematical Association of America
_c, ©2009.
300 _axiii, 297 pages
_c;27 cm.
365 _b3832
490 _aClassroom resource materials (Unnumbered)
505 _a What is a group? -- What do groups look like? -- Why study groups? -- Algebra at last -- Five families -- Subgroups -- Products and quotients -- The power of homomorphisms -- Sylow theory -- Galois theory -- Answers to selected exercises.
520 _a This text approaches the learning of group theory visually. It allows the student to see groups, experiment with groups and understand their significance. It brings groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory. Opening chapters anchor the reader's intuitions with puzzles and symmetrical objects, defining groups as collections of actions. This approach gives early access to Cayley diagrams, the visualization technique central to the book, due to its unique ability to make group structure visually evident.
650 _aMathematics
655 _aGroup theory
700 _aNathan C Carter
942 _cBOOK