Algebra • Definition: − An Algebra is characterized by specifying the following three components. Discrete Mathematics, Spring 2009 1. a set called the carrier of the algebra, 2. operators defined on the carrier, and 3. (distinguished elements of the carrier, called the constants o....
Read MoreFundamental Approach to Discrete Mathematics by D.P. Acharjya full eBook
Read MoreCHAPTER 1 Counting 1 1.1 Basic Counting 1 The Sum Principle 1 Abstraction 3 Summing Consecutive Integers 3 The Product Principle 4 Two-Element Subsets 6 Important Concepts, Formulas, and Theorems 7 Problems 8 1.2 Counting Lists, Permutations, and Subsets 10 Using the Sum and Product Princi....
Read More1 The Foundations: Logic and Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Propositional Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Applications of Propositional Logic . . . ....
Read MoreSYLLABUS Unit-I Set Theory: Introduction, Combination of sets, Multisets, Ordered pairs,Set Identities. Relations: Definition, Operations on relations, Properties of relations, Composite Relations, Equality of relations, Order of relations. Functions: Definition, Classification of functions,Ope....
Read MoreSet : Any well defined collection of distinct objects is called a set. The objects in a set can be numbers, people, letters, rivers, countries etc. The objects in a set are called the elements or members of the set. Examples : 1. The set of numbers 4, 6, 8, 10. 2. The set of lette....
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