Discrete mathematics and its applications / Kenneth H. Rosen.
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TextLanguage: English Publication details: Boston ; New Delhi : Tata McGraw-Hill, c2003. Edition: 5th edDescription: xxi, (various pagings) : ill. ; 26 cmISBN: 0072424346 (acidfree paper); 9780072424348; 0071198814Subject(s): Mathematics | Computer science -- MathematicsDDC classification: 511 LOC classification: QA39.3 | .R67 2003Online resources: WorldCat details | E-book Fulltext | Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
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Dr. S. R. Lasker Library, EWU E-book | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | Not for loan | ||||
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Dr. S. R. Lasker Library, EWU Reserve Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-1 | Not For Loan | 10971 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-6 | Checked out | 18/04/2019 | 10976 | |
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-7 | Available | 10977 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-9 | Available | 10979 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-11 | Available | 10981 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-12 | Available | 10982 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-13 | Available | 10983 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-14 | Available | 10984 | ||
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Dr. S. R. Lasker Library, EWU | Non-fiction | 511 ROD (Browse shelf(Opens below)) | C-15 | Available | 135-10985 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-16 | Available | 10986 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-18 | Available | 10988 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 511 ROD 2003 (Browse shelf(Opens below)) | C-19 | Available | 10989 |
Includes bibliographic references and indexes.
TOC The 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.
This 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.
BA
Saifun Momota
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