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Discrete Mathematics with - Hardcover, by Epp Susanna S. Fourth Edition

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
Book Title
Discrete Mathematics with Applications
ISBN
9780495391326

About this product

Product Identifiers

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

Product Key Features

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

Dimensions

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

Additional Product Features

Edition Number
4
Intended Audience
College Audience
LCCN
2010-927831
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
510
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.
Edition Description
Revised edition
Synopsis
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.
LC Classification Number
QA39.3.E65 2011

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  • by co-42584
    May 02, 2024

    The math between continuous numbers

    Good

    Verified purchase: YesCondition: Pre-OwnedSold by: booksrun

  • by confuse_a_cat
    Feb 12, 2021

    Great Math Book!

    Great Math Book!

    Verified purchase: YesCondition: Pre-OwnedSold by: jlewan5

  • by nattyc302
    Jan 18, 2021

    Exactly as described!

    Exactly as described! Thank you

    Verified purchase: YesCondition: NewSold by: passcert4sure

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