Abstract algebra : an introduction to groups, rings and fields /
Logic and proofs -- Set theory -- Cartesian products, relations, maps and binary operations -- The integers -- Groups -- Further properties of groups -- The symmetric groups -- Rings, integral domains and fields -- Polynomial rings -- Field extensions -- Latin squares and magic squares -- Group acti...
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| Language: | eng |
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Hackensack, NJ : World Scientific,
c201
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| Summary: | Logic and proofs -- Set theory -- Cartesian products, relations, maps and binary operations -- The integers -- Groups -- Further properties of groups -- The symmetric groups -- Rings, integral domains and fields -- Polynomial rings -- Field extensions -- Latin squares and magic squares -- Group actions, the class equation and the Sylow theorems -- Isometries -- Polya-Burnside enumeration -- Group codes -- Polynomial codes -- Appendix A : Rational, real and complex numbers -- Appendix B : Linear algebra. |
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