01644nam a22001577a 4500 120808t xxu||||| |||| 00| 0 eng d 3540780440 QA9.G358 Gerstein, Larry J. Introduction to mathematical structures and profits. / Larry J. Gertein New York: Jones and Barlett Publishers, 1996. x, 350 p.: ill.; 24cm. Contents: Logic: Statements, propositions and theorems -- Logical connectives and truth tables -- Conditional statements -- Proofs: structures and strategies -- Logical equivalence -- Applications: A Brief introduction to switching circuits -- Sets: Fundamentals -- Russell's paradox -- Quantifiers -- Set inclusion -- Union, intersection and complement -- Indexed sets -- The Power set -- Ordered pairs and cartesian products -- Set decomposition: partitions and relations -- Mathematical induction and recursion -- Functions: Definitions and examples -- Surjections, injections, bijections, sequences -- Composition of functions -- Finite and Infinite sets: Cardinality: Fundamental counting principles -- Comparing sets, finite or infinite -- uncountable sets -- More on infinity -- Languages and finite automata -- Permutations and Combinations: Combinatorial problems -- The Addition and product rules -- Introduction to permutations -- Permutations and geometric symmetry -- Decomposition into cycles -- Computing the order of a permutation; A Card - Shuffling example -- Odd and even permutations; Applications to configurations -- Binomial and multinomial coefficients Mathematical structures lcc BK 1961 9461 0 0 lcc 0 0 WIUC-1 WIUC-1 GEN 2012-08-08 0 QA9.G358 4994/12 2012-08-08 00:00:00 1 2012-08-08 BK 0 0 lcc 0 0 WIUC-1 WIUC-1 GEN 2012-08-08 0 QA9.G3581 4995/12 2012-08-08 00:00:00 2 2012-08-08 BK 0 0 lcc 0 0 WIUC-1 WIUC-1 GEN 2012-08-08 0 QA9.G3582 4996/12 2012-08-08 00:00:00 3 2012-08-08 BK 0 0 lcc 0 0 WIUC-1 WIUC-1 GEN 2012-08-08 0 QA9.G3583 4997/12 2012-08-08 00:00:00 4 2012-08-08 BK