04591nam 2200625Ia 450 991045905770332120200520144314.01-282-45031-X978661245031081-224-2506-2(CKB)2670000000016395(EBL)3017400(SSID)ssj0000671299(PQKBManifestationID)11379049(PQKBTitleCode)TC0000671299(PQKBWorkID)10614403(PQKB)10104395(MiAaPQ)EBC3017400(Au-PeEL)EBL3017400(CaPaEBR)ebr10359397(CaONFJC)MIL245031(OCoLC)923652228(EXLCZ)99267000000001639519990907d2009 uy 0engur|n|---|||||txtccrDiscrete mathematics[electronic resource] /B.S. Vatsa, Suchi Vatsa4th rev. ed.New Delhi New Age Internationalc20091 online resource (315 p.)Includes index.81-224-2574-7 ""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""""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 """"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""""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 """"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""""6.4 The Transpose of Matrix: Symmetric and Skew Symmetric Matrix""Computer scienceMathematicsMathematicsElectronic books.Computer scienceMathematics.Mathematics.Vatsa B. S897232Vatsa Suchi903707MiAaPQMiAaPQMiAaPQBOOK9910459057703321Discrete mathematics2020045UNINA