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Discrete and Combinatorial Mathematics by Grimaldi, Ralph P.
ISBN: 9780321385024 PUBLISHER: Pearson FORMAT: Paperback PAGES: 648 PUBLICATION DATE: 1.04.2017 DIMENSIONS: 25.15 x 20.07 x 3.56 centimetres
DESCRIPTION: This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit
Table of Contents
PART 1. FUNDAMENTALS OF DISCRETE MATHEMATICS. 1. Fundamental Principles of Counting. The Rules of Sum and Product. Permutations. Combinations: The Binomial Theorem. Combinations with Repetition. The Catalan Numbers (Optional). Summary and Historical Review. 2. Fundamentals of Logic. Basic Connectives and Truth Tables. Logical Equivalence: The Laws of Logic. Logical Implication: Rules of Inference. The Use of Quantifiers. Quantifiers, Definitions, and the Proofs of Theorems. Summary and Historical Review. 3. Set Theory. Sets and Subsets. Set Operations and the Laws of Set Theory. Counting and Venn Diagrams. A First Word on Probability. The Axioms of Probability (Optional). Conditional Probability: Independence (Optional). Discrete Random Variables (Optional). Summary and Historical Review. 4. Properties of the Integers: Mathematical Induction. The WellOrdering Principle: Mathematical Induction. Recursive Definitions. The Division Algorithm: Prime Numbers. The Greatest Common Divisor: The Euclidean Algorithm. The Fundamental Theorem of Arithmetic. Summary and Historical Review. 5. Relations and Functions. Cartesian Products and Relations. Functions: Plain and OnetoOne. Onto Functions: Stirling Numbers of the Second Kind. Special Functions. The Pigeonhole Princ
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