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Discrete Mathematics with Applications

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DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

Author(s): Susanna S. Epp
Edition: 5
Publisher: Cengage Learning
Year: 2019

Language: English
Commentary: True PDF
Pages: 984
City: Boston, MA
Tags: Algorithms; Graph Theory; Number Theory; Probability Theory; Discrete Mathematics; Proofs; Set Theory; Regular Expressions; Mathematical Logic; Combinatorics; Mathematical Induction; Algorithm Analysis; Finite-State Automata; Recursion

1. Speaking Mathematically
2. The Logic of Compound Statements
3. The Logic of Quantified statements
4. Elementary Number theory and methods of Proof
5. Sequences, mathematical induction, and recursion
6. Set theory
7. Properties of Functions
8. Properties of relations
9. Counting and Probability
10. Theory of Graphs and trees
11. Analysis of algorithm efficiency
12. Regular expressions and Finite-state automata