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Discrete Mathematics with Applications by Susanna S. Epp (2019, Hardcover)
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Specificaties
- Objectstaat
- Subject
- General, Discrete Mathematics
- ISBN
- 9781337694193
- Subject Area
- Mathematics
- Publication Name
- Discrete Mathematics with Applications
- Item Length
- 10.2 in
- Publisher
- Cengage Learning
- Publication Year
- 2019
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.6 in
- Item Width
- 8.3 in
- Item Weight
- 71.4 Oz
- Number of Pages
- 984 Pages
Over dit product
Product Information
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.
Product Identifiers
Publisher
Cengage Learning
ISBN-10
1337694193
ISBN-13
9781337694193
eBay Product ID (ePID)
24038720457
Product Key Features
Publication Name
Discrete Mathematics with Applications
Format
Hardcover
Language
English
Subject
General, Discrete Mathematics
Publication Year
2019
Type
Textbook
Subject Area
Mathematics
Number of Pages
984 Pages
Dimensions
Item Length
10.2 in
Item Height
1.6 in
Item Width
8.3 in
Item Weight
71.4 Oz
Additional Product Features
Edition Number
5
LCCN
2018-953604
Lc Classification Number
Qa39.3.E65 2020
Table of Content
1. SPEAKING MATHEMATICALLY. Variables. The Language of Sets. The Language of Relations and Functions. The Language of Graphs. 2. THE LOGIC OF COMPOUND STATEMENTS. Logical Form and Logical Equivalence. Conditional Statements. Valid and Invalid Arguments. Application: Digital Logic Circuits. Application: Number Systems and Circuits for Addition. 3. THE LOGIC OF QUANTIFIED STATEMENTS. Predicates and Quantified Statements I. Predicates and Quantified Statements II. Statements with Multiple Quantifiers. Arguments with Quantified Statements. 4. ELEMENTARY NUMBER THEORY AND METHODS OF PROOF. Direct Proof and Counterexample I: Introduction. Direct Proof and Counterexample II: Writing Advice. Direct Proof and Counterexample III: Rational Numbers. Direct Proof and Counterexample IV: Divisibility. Direct Proof and Counterexample V: Division into Cases and the Quotient-Remainder Theorem. Direct Proof and Counterexample VI: Floor and Ceiling. Indirect Argument: Contradiction and Contraposition. Indirect Argument: Two Famous Theorems. Application: Algorithms. 5. SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION. Sequences. Mathematical Induction I: Proving Formulas. Mathematical Induction II: Applications. Strong Mathematical Induction and the Well-Ordering Principle. Application: Correctness of Algorithms. Defining Sequences Recursively. Solving Recurrence Relations by Iteration. Second-Order Linear Homogeneous Recurrence Relations with Constant Coefficients. General Recursive Definitions and Structural Induction. 6. SET THEORY. Set Theory: Definitions and the Element Method of Proof. Properties of Sets. Disproofs and Algebraic Proofs. Boolean Algebras, Russells Paradox, and the Halting Problem. 7. PROPERTIES OF FUNCTIONS. Functions Defined on General Sets. One-to-one, Onto, and Inverse Functions. Composition of Functions. Cardinality with Applications to Computability. 8. PROPERTIES OF RELATIONS. Relations on Sets. Reflexivity, Symmetry, and Transitivity. Equivalence Relations. Modular Arithmetic with Applications to Cryptography. Partial Order Relations. 9. COUNTING AND PROBABILITY Introduction. Possibility Trees and the Multiplication Rule. Counting Elements of Disjoint Sets: The Addition Rule. The Pigeonhole Principle. Counting Subsets of a Set: Combinations. r-Combinations with Repetition Allowed. Pascals Formula and the Binomial Theorem. Probability Axioms and Expected Value. Conditional Probability, BayesFormula, and Independent Events. 10. THEORY OF GRAPHS AND TREES. 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. 11. ANALYSIS OF ALGORITHM EFFICIENCY. Real-Valued Functions of a Real Variable and Their Graphs. O-, ?-, and ?-Notations. Application: Analysis of Algorithm Efficiency I. Exponential and Logarithmic Functions: Graphs and Orders. Application: Analysis of Algorithm Efficiency II. 12. REGULAR EXPRESSIONS AND FINITE STATE AUTOMATA. Formal Languages and Regular Expressions. Finite-State Automata. Simplifying Finite-State Automata.
Copyright Date
2020
Target Audience
College Audience
Dewey Decimal
510
Dewey Edition
22
Illustrated
Yes
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