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Discrete Mathematics with - Hardcover, by Epp Susanna S. - Acceptable - Afbeelding 1 van 1
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Discrete Mathematics with - Hardcover, by Epp Susanna S. - Acceptable

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Bevindt zich in: Philadelphia, Pennsylvania, Verenigde Staten
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Specificaties

Objectstaat
Redelijk: Een boek dat slijtage vertoont. De kaft kan enigszins beschadigd zijn, maar is als geheel ...
Book Title
Discrete Mathematics with Applications
ISBN
9780495391326
Subject Area
Mathematics
Publication Name
Discrete Mathematics with Applications
Item Length
10.2 in
Publisher
Brooks/Cole
Subject
General, Discrete Mathematics
Publication Year
2010
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.5 in
Author
Susanna S. Epp
Features
Revised
Item Width
8.2 in
Item Weight
65.8 Oz
Number of Pages
984 Pages

Over dit product

Product Information

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.

Product Identifiers

Publisher
Brooks/Cole
ISBN-10
0495391328
ISBN-13
9780495391326
eBay Product ID (ePID)
80549538

Product Key Features

Author
Susanna S. Epp
Publication Name
Discrete Mathematics with Applications
Format
Hardcover
Language
English
Features
Revised
Subject
General, Discrete Mathematics
Publication Year
2010
Type
Textbook
Subject Area
Mathematics
Number of Pages
984 Pages

Dimensions

Item Length
10.2 in
Item Height
1.5 in
Item Width
8.2 in
Item Weight
65.8 Oz

Additional Product Features

Edition Number
4
LCCN
2010-927831
Lc Classification Number
Qa39.3.E65 2011
Edition Description
Revised Edition
Table of Content
1. SPEAKING MATHEMATICALLY. Variables. The Language of Sets. The Language of Relations and Functions. 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: Rational Numbers. Direct Proof and Counterexample III: Divisibility. Direct Proof and Counterexample IV: Division into Cases and the Quotient-Remainder Theorem. Direct Proof and Counterexample V: Floor and Ceiling. Indirect Argument: Contradiction and Contraposition. Indirect Argument: Two Classical Theorems. Application: Algorithms. 5. SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION. Sequences. Mathematical Induction I. Mathematical Induction II. 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. Set Identities. Disproofs and Algebraic Proofs. Boolean Algebras, Russell's Paradox, and the Halting Problem. 7. PROPERTIES OF FUNCTIONS. Functions Defined on General Sets. One-to-one, Onto, Inverse Functions. Composition of Functions. Cardinality, Sizes of Infinity, and Applications to Computability. 8. PROPERTIES OF RELATIONS. Relations on Sets (add material about relational databases). Reflexivity, Symmetry, and Transitivity. Equivalence Relations. Modular Arithmetic with Applications to Cryptography. Partial Order Relations. 9. COUNTING. Counting and Probability. 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. Pascal's Formula and the Binomial Theorem. Probability Axioms and Expected Value. Conditional Probability, Bayes' Formula, and Independent Events. 10. GRAPHS AND TREES. Graphs: An Introduction. 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. ANALYZING ALGORITHM EFFICIENCY. Real-Valued Functions of a Real Variable and Their Graphs. O-, ?-, and ?-Notations. Application: Efficiency of Algorithms I. Exponential and Logarithmic Functions: Graphs and Orders. Application: Efficiency of Algorithms II. 12. REGULAR EXPRESSIONS AND FINITE STATE AUTOMATA. Formal Languages and Regular Expressions. Finite-State Automata. Simplifying Finite-State Automata.
Copyright Date
2011
Target Audience
College Audience
Dewey Decimal
510
Dewey Edition
22
Illustrated
Yes

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