LEADER 04591nam 2200625Ia 450 001 9910459057703321 005 20200520144314.0 010 $a1-282-45031-X 010 $a9786612450310 010 $a81-224-2506-2 035 $a(CKB)2670000000016395 035 $a(EBL)3017400 035 $a(SSID)ssj0000671299 035 $a(PQKBManifestationID)11379049 035 $a(PQKBTitleCode)TC0000671299 035 $a(PQKBWorkID)10614403 035 $a(PQKB)10104395 035 $a(MiAaPQ)EBC3017400 035 $a(Au-PeEL)EBL3017400 035 $a(CaPaEBR)ebr10359397 035 $a(CaONFJC)MIL245031 035 $a(OCoLC)923652228 035 $a(EXLCZ)992670000000016395 100 $a19990907d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiscrete mathematics$b[electronic resource] /$fB.S. Vatsa, Suchi Vatsa 205 $a4th rev. ed. 210 $aNew Delhi $cNew Age International$dc2009 215 $a1 online resource (315 p.) 300 $aIncludes index. 311 $a81-224-2574-7 327 $a""Cover""; ""Preface to the Fourth Edition ""; ""Contents ""; ""Chapter 1. Mathematical Logic""; ""1.1 Logical Statement or Proposition ""; ""1.2 Type of Propositions ""; ""1.3 The Propositional Calculus""; ""1.4 The Negation of a Proposition ""; ""1.5 Disjunction ""; ""1.6 Conjunction ""; ""Problem""; ""1.7 Tautologies and Contradictions""; ""1.8 Logical Equivalence ""; ""Problem 1.3""; ""1.9 The Algebra of Propositions""; ""Problem 1.4""; ""1.10 Conditional Propositions ""; ""1.11 Converse, Inverse and Contrapositive Propositions""; ""1.12 The Negation of a Conditional Proposition"" 327 $a""1.13 Biconditional Propositions""""Problem 1.5""; ""1.14 Arguments""; ""Problem 1.6""; ""Chapter 2. Set Theory""; ""2.1 Sets ""; ""2.2 Set Designation""; ""2.3 Null Sets and Unit Sets ""; ""2.4 Special Sets of Numbers ""; ""2.5 Universal Set""; ""Problem 2.1""; ""2.6 Subsets: Proper Subsets and Equal Sets ""; ""Problem 2.2""; ""2.7 Set Operations ""; ""2.8 Union Operation ""; ""2.9 Properties of Union Operations""; ""2.10 Intersection ""; ""2.11 Properties of Intersection Operation ""; ""2.12 Distributive Properties""; ""2.13 Complementation "" 327 $a""2.14 Relative Complement (or Difference of Sets)""""2.15 Properties of Complement ""; ""2.16 Properties of Difference ""; ""2.17 Symmetric Difference""; ""Problem 2.3""; ""2.18 Power Set ""; ""Problem 2.4""; ""2.19 Cartesian Prodcuts ""; ""Problem 2.5""; ""2.20 Generalized Set Theory ""; ""Problem 2.6 ""; ""Chapter 3. Relation and Functions ""; ""3.1 Relation ""; ""Problem 3.1""; ""3.2 Equivalence Relation""; ""3.3 Partition""; ""3.4 Partial Order Relation ""; ""Problem 3.2""; ""3.5 Functions (Mappings)""; ""Problem 3.3""; ""3.6 Inverse Mapping ""; ""3.7 Composition of Mappings"" 327 $a""Problem 3.4""""3.8 Binary Operations ""; ""Problem 3.5""; ""3.9 Countable and Uncountable Sets ""; ""Problem 3.6""; ""Chapter 4. Ordered Sets and Lattices ""; ""4.1 Poset ""; ""4.2 Product Set and Order""; ""4.3 Hasse Diagrams of Partially Ordered Sets ""; ""4.4 Minimal and Maximal, and First and Last Point ""; ""Problem 4.1""; ""4.5 Lattices""; ""4.6 Lattices and Partially Ordered Sets ""; ""4.7 Principle of Quality ""; ""Problem 4.2""; ""4.8 Lattices as Algebraic Systems ""; ""4.9 Lattice and Order""; ""4.10 Sublattices""; ""4.11 Direct Product of Two Lattices "" 327 $a""4.12 Isomorphic Lattices""""Problem 4.3""; ""4.13 Complete Lattice ""; ""4.14 Complemented Lattices""; ""4.15 Distributive Lattice ""; ""4.16 Modular Lattices ""; ""Problem 4.4""; ""Chapter 5. Boolean Algebra and Switching Circuits ""; ""5.1 Introdcution ""; ""Problem 5.1""; ""5.2 Boolean Functions""; ""5.3 Normal Form ""; ""5.4 Fundamental Forms of Boolean/Functions ""; ""Problem 5.2 ""; ""5.5 Application to Switching Networks ""; ""Problem 5.3""; ""Chapter 6. Matrices ""; ""6.1 Revision""; ""6.2 Diagonal, Scalar, Unit and Triangular Matrix ""; ""6.3 Equal Matrices"" 327 $a""6.4 The Transpose of Matrix: Symmetric and Skew Symmetric Matrix"" 606 $aComputer science$xMathematics 606 $aMathematics 608 $aElectronic books. 615 0$aComputer science$xMathematics. 615 0$aMathematics. 700 $aVatsa$b B. S$0897232 701 $aVatsa$b Suchi$0903707 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910459057703321 996 $aDiscrete mathematics$92020045 997 $aUNINA