Discrete Mathematics with Applications 4th Edition by Susanna Epp – Ebook PDF Instant Download/Delivery: 0495391328 , 978-0495391326
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Product details:
ISBN 10: 0495391328
ISBN 13: 978-0495391326
Author: Susanna Epp
Susanna Epp’s DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book 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 the science and technology of the computer age. Overall, Epp’s emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses.
Discrete Mathematics with Applications 4th Table of contents:
-
The Foundations: Logic and Proofs
- Propositional Logic
- Propositional Equivalences
- Quantifiers
- Nested Quantifiers
- Proofs
- Methods of Proof
- The Division Algorithm
-
Basic Structures: Sets, Functions, Sequences, Sums, and Matrices
- Sets
- Functions
- Sequences
- Summation Notation
- Matrices
- The Inclusion-Exclusion Principle
-
Algorithms and Complexity
- Algorithms
- The Growth of Functions
- Recursion
- Algorithmic Complexity
-
Number Theory and Cryptography
- Divisibility
- Prime Numbers
- Greatest Common Divisor
- The Euclidean Algorithm
- Modular Arithmetic
- Cryptography
-
Mathematical Induction and Recursion
- Mathematical Induction
- Strong Induction
- Recursive Definitions
- Recursive Algorithms
-
Counting
- The Basic Principle of Counting
- Permutations and Combinations
- The Binomial Theorem
- Generalized Permutations and Combinations
- Pigeonhole Principle
-
Discrete Probability
- Probability Theory
- Conditional Probability
- Bayes’ Theorem
- Random Variables
- Expected Value
-
Relations
- Relations and Their Properties
- Equivalence Relations
- Partial Orderings
- Functions and Their Inverses
- Computer Representation of Relations
-
Graphs
- Graphs and Their Representations
- Graph Traversals
- Graph Connectivity
- Eulerian and Hamiltonian Graphs
- Planarity and Graph Coloring
-
Trees
- Trees and Their Properties
- Binary Trees
- Spanning Trees
- Tree Traversal
- Binary Search Trees
-
Boolean Algebra
- Boolean Variables
- Boolean Functions
- Logic Gates
- Simplifying Boolean Functions
- Applications of Boolean Algebra
-
Modeling Computation
- Finite State Machines
- Pushdown Automata
- Turing Machines
- The Church-Turing Thesis
- Computability and Decidability
-
Additional Topics (Optional)
- Generating Functions
- Recurrence Relations
- Graph Algorithms
- Cryptographic Systems
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Susanna Epp,Discrete Mathematics,Applications