000 03518cam a2200397 a 4500
001 135
003 BD-DhEWU
005 20190118020001.0
008 020425r2003 ii a g b 001 0 eng d
010 _a2002070890
020 _a0072424346 (acidfree paper)
020 _a9780072424348
020 _a0071198814
035 _a(OCoLC)49719375
040 _aDLC
_cDLC
_dDLC
_dBD-DhEWU
_beng
041 _aeng
050 0 0 _aQA39.3
_b.R67 2003
082 0 4 _a511
_2
_bROD 2003
100 1 _aRosen, Kenneth H.
_96939
245 1 0 _aDiscrete mathematics and its applications /
_cKenneth H. Rosen.
250 _a5th ed.
260 _aBoston ;
_aNew Delhi :
_bTata McGraw-Hill,
_cc2003.
300 _axxi, (various pagings) :
_bill. ;
_c26 cm.
504 _aIncludes bibliographic references and indexes.
505 _tTOC
_aThe foundations: logic and proof, sets, and functions : Logic ; Propositional equivalences ; Predicates and quantifiers ; Nested quantifiers ; Methods of proof ; Sets ; Set operations ; Functions -- The fundamentals: algorithms, the integers, and matrices : Algorithms ; The growth of functions ; Complexity of algorithms ; The integers and division ; Applications of number theory ; Matrices -- Mathematical reasoning, induction, and recursion : Proof strategy ; Sequences and summations ; Mathematical induction ; Recursive definitions and structural induction ; Recursive algorithms ; Program correctness -- Counting : The basics of counting ; The pigeonhole principle ; Permutations and combinations ; Binomial coefficients ; Generalized permutations and combinations ; Generating permutations and combinations -- Discrete probability : An introduction to discrete probability ; Probability theory ; Expected value and variance -- Advanced counting techniques : Recurrence relations ; Solving recurrence relations ; Divide-and-conquer algorithms and recurrence relations ; Generating functions ; Inclusion-exclusion ; Applications of inclusion-exclusion -- Relations : Relations and their properties ; n-ary relations and their applications ; Representing relations ; Closures of relations ; Equivalence relations ; Partial orderings -- Graphs : Introduction to graphs ; Graph terminology ; Representing graphs and graph isomorphism ; Connectivity ; Euler and Hamilton paths ; Shortest-path problems ; Planar graphs ; Graph coloring -- Trees : introduction to trees ; Applications of trees ; Tree traversal ; Spanning trees ; Minimum spanning trees -- Boolean algebra : Boolean functions ; Representing Boolean functions ; Logic gates ; Minimization of circuits -- Modeling computation : Languages and grammars ; Finite-state machines with output ; Finite-state machines with no output ; Language recognition ; Turing machines -- Appendixes : A.1. Exponential and logarithmic functions ; A.2. Pseudocode.
520 _aThis text] is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.-Pref.
526 _aBA
590 _aSaifun Momota
650 0 _aMathematics.
_96954
650 0 _aComputer science
_xMathematics.
_96955
856 4 2 _3WorldCat details
_uhttp://www.worldcat.org/title/discrete-mathematics-and-its-applications/oclc/49719375&referer=brief_results
856 4 2 _3E-book Fulltext
_uhttp://lib.ewubd.edu/ebook/135
942 _2ddc
_cTEXT
_068
999 _c135
_d135
999 _c135
_d135
999 _c135
_d135