000 01644nam a22001577a 4500
008 120808t xxu||||| |||| 00| 0 eng d
020 _a3540780440
050 _aQA9.G358
100 _aGerstein, Larry J.
245 _aIntroduction to mathematical structures and profits. /
_cLarry J. Gertein
260 _aNew York:
_bJones and Barlett Publishers,
_c1996.
300 _ax, 350 p.:
_bill.;
_c24cm.
505 _aContents: 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
650 _aMathematical structures
942 _2lcc
_cBK
999 _c1961
_d9461