Fuck. It's one of those words that sounds completely homely; as if pulled from the pages of a Nicolas Bourbaki Junior's abstract algebra - but in fact, quite the opposite is true. Reading Fuckin' Abstract Algebra is a small adventure that one undertakes before doing something profoundly conventional. Probably this is the most fucked academic book, but definitely it is the best one to have fun and to learn from. The book contains separate chapters on groups, rings and fields, polynomial rings, quotient rings, field extensions.To imagine a taste of the book take a glance at the formulation of one theorem: "Every fuckin' shitty non-constant single-variable unfucked polynomial with fucky complex coefficients has at least one fucked complex root." Get ready to be completely shocked! Full title: "Fuckin' Concrete Contemporary Abstract Algebra Introduction By First Course Radical Solution Dummies: Dummit, Foote, Hungerford, Shifrin, Gallian, Fraleigh, Beachy, Herstein, Saracino, Artin, Deskins"
Language: English
Author(s): Nicolas Bourbaki Junior
Year: 2009
Language: English
Pages: 100
Tags: Algebra, Mathematics, Modern Algebra, Abstract Algebra
INTROFUCK ..... 3
CLASSICAL ALGEBRA ..... 3 MODERN ALGEBRA ..... 4
GROUPS ..... 7
GROUPS AND FUCKS ..... 8 FUCKED SUBGROUPS ..... 12 FUCKIN’ CYCLIC GROUPS AND DIHEDRAL GROUPS ..... 14 FREAKY MORPHISMS ..... 16 COCKY MONOIDS AND SEMIGROUPS ..... 20
QUOTIENT GROUPS ..... 25
FUCKY EQUIVALENCE RELATIONS ..... 25 COSETS AND SLUTTISH LAGRANGE’S THEOREM ..... 28 NORMAL SUBGROUPS AND POUNDED QUOTIENT GROUPS ..... 31 SHITTY MORPHISM THEOREM ..... 34 DIRECT STICKY PRODUCTS ..... 36
RINGS AND FIELDS ..... 39
RINGS AS FUCKS ..... 40 INTEGRAL DOMAINS AND FUCKIN’ FIELDS ..... 42 SCREWED SUBRINGS AND MORPHISMS OF RINGS ..... 44 NEW DICKY RINGS FROM OLD ..... 46 PUSSY FIELD OF FRACTIONS ..... 49
POLYNOMIAL AND EUCLIDEAN RINGS ..... 53
NAUGHTY EUCLIDEAN RINGS ..... 53 SEXY EUCLIDEAN ALGORITHM ..... 57 UNIQUE FACTORIZATION FUCK ..... 61 FACTORING FUCKING REAL AND COMPLEX POLYNOMIALS ..... 66 FACTORING FUCKING RATIONAL AND INTEGRAL POLYNOMIALS ..... 67 SUCKY LINEAR CONGRUENCES AND THE CHINESE REMAINDER THEOREM ..... 69
QUOTIENT RINGS ..... 75
EROTIC IDEALS AND QUOTIENT RINGS ..... 75 CUMMY MORPHISM THEOREM ..... 80 QUOTIENT POLYNOMIAL RINGS THAT ARE FUCKED FIELDS ..... 81
FIELD EXTENSIONS ..... 85
MOTHER FUCKIN’ FIELD EXTENSIONS ..... 85 WET ALGEBRAIC NUMBERS ..... 88 DOGGY STYLE GALOIS FIELDS ..... 91
