| 000 | 01763nam a22002417a 4500 | ||
|---|---|---|---|
| 999 |
_c50298 _d50298 |
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| 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 |
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| 082 | _a512.2 CAR | ||
| 100 | _aNathan C Carter | ||
| 245 |
_aVisual group theory _c/Nathan C Carter |
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| 260 |
_aWashington, D.C. _b : Mathematical Association of America _c, ©2009. |
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| 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 | ||