Discrete Mathematics with Applications | Susanna S Epp | The Co-op
Part two focuses on computations, combinatorics , graph theory, trees, and algorithms. Discrete Mathematics is a textbook designed for the students of computer science engineering, information technology, and computer applications to help them develop the foundation of theoretical computer science. Buy New. Discrete Mathematics is designed to serve as The book would also prove Edition, features quality exercises, interesting applications , and Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in Strong foundation of algebra : The authors devote the first Defining Sequences Recursively.
Solving Recurrence Relations by Iteration. General Recursive Definitions and Structural Induction.
Properties of Sets. Disproofs and Algebraic Proofs. Functions Defined on General Sets.
One-to-one, Onto, and Inverse Functions. Composition of Functions.
Discrete Mathematics with Applications 5th edition
Cardinality with Applications to Computability. Relations on Sets. Reflexivity, Symmetry, and Transitivity. Equivalence Relations. Modular Arithmetic with Applications to Cryptography. Partial Order Relations. Possibility Trees and the Multiplication Rule. The Pigeonhole Principle.
Counting Subsets of a Set: Combinations. Pascal's Formula and the Binomial Theorem. Probability Axioms and Expected Value.
Trails, Paths, and Circuits. Matrix Representations of Graphs.
Isomorphisms of Graphs. Trees: Examples and Basic Properties. Rooted Trees. Spanning Trees and a Shortest Path Algorithm. Application: Analysis of Algorithm Efficiency I. Exponential and Logarithmic Functions: Graphs and Orders.
Formal Languages and Regular Expressions. Finite-State Automata. Simplifying Finite-State Automata. About Susanna Epp Susanna S. Epp received her Ph. After initial research in commutative algebra, she became interested in cognitive issues associated with teaching analytical thinking and proof and published a number of articles related to this topic, one of which was chosen for inclusion in The Best Writing on Mathematics She has spoken widely on discrete mathematics and organized sessions at national meetings on discrete mathematics instruction.
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