Finite Mathematics / Edition 1

Finite Mathematics / Edition 1

ISBN-10:
0395985749
ISBN-13:
9780395985748
Pub. Date:
10/01/2000
Publisher:
Houghton Mifflin Company College Division

Hardcover

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Overview

Finite Mathematics / Edition 1

The Second Edition of this engaging text for the one-semester finite mathematics course uses intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers.

A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills.

  • Graphing Calculator Examples and Exercises located throughout the text explore new topics, guide students through "messy" calculations, or show technology pitfalls. These may be omitted without disrupting the flow or cohesion of the text.
  • Application Previews place mathematics in a real-world context and motivate students' interest in the material.
  • Annotations beside many formulas and solution steps emphasize the importance of being able to "read mathematics" by restating much of the mathematics in words.

Product Details

ISBN-13: 9780395985748
Publisher: Houghton Mifflin Company College Division
Publication date: 10/01/2000
Edition description: Older Edition
Pages: 614
Product dimensions: 8.00(w) x 9.12(h) x 0.81(d)

About the Author

Geoff Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University in 1975. He has taught at the State University of New York at Purchase and for many years has been at the C.W. Post campus of Long Island University. Besides the four textbooks with Andy Rockett, he has published papers in differential equations, linear programming, logic, and probability (his favorite area), including curriculum materials for COMAP (Consortium for Mathematics and Its Applications).

While Andy Rockett completed his Ph.D. thesis at SUNY Stony Brook, he taught as an adjunct at nearby Suffolk County Community College. After receiving his degree in 1977, he joined the mathematics faculty at C.W. Post and began his collaborations with Geoff Berresford. His book with Peter Szusz on "Continued Fractions" (1992) was hailed by Ivan Niven as "an outstanding addition to the literature of mathematics," and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal "The Pentagon" from 1989 to 1995.

Table of Contents

Contents

Note: Each chapter concludes with a Chapter Summary with Hints and Suggestions and Review Exercises.

  • 1. Functions
    Application Preview: World Record Mile Runs
    1.1 Real Numbers, Inequalities, and Lines
    1.2 Exponents
    1.3 Functions
    1.4 Functions, Continued
    1.5 Exponential Functions
    1.6 Logarithmic Functions
  • 2. Mathematics of Finance
    Application Preview: Musical Instruments as Investments
    2.1 Simple Interest
    2.2 Compound Interest
    2.3 Annuities
    2.4 Amortization
  • 3. Systems of Equations and Matrices
    Application Preview: A "Taxing" Problem
    3.1 Systems of Two Linear Equations in Two Variables
    3.2 Matrices and Linear Equations in Two Variables
    3.3 Systems of Linear Equations and the Gauss-Jordan Method
    3.4 Matrix Arithmetic
    3.5 Inverse Matrices and Systems of Linear Equations
    3.6 Introduction to Modeling: Leontief Models and Least Squares
  • 4. Linear Programming
    Application Preview: Managing an Investment Portfolio
    4.1 Linear Inequalities
    4.2 Two-Variable Linear Programming Problems
    4.3 The Simplex Method for Standard Maximum Problems
    4.4 Standard Minimum Problems and Duality
    4.5* Nonstandard Problems: The Dual Pivot Element and the Two-Stage Method
    4.6* Nonstandard Problems: Artificial Variables and the Big-M Method
    * These two sections provide alternate methods for solving the same types of problems. The choice of which to cover is left to the Instructor.
  • 5. Probability
    Application Preview: The Chevalier de Meré
    5.1 Sets, Counting, and Venn Diagrams
    5.2 Permutations and Combinations
    5.3 ProbabilitySpaces
    5.4 Conditional Probability and Independence
    5.5 Bayes' Formula
    5.6 Random Variables and Distributions
  • 6. Statistics
    Application Preview: Household Income
    6.1 Random Samples and Data Organization
    6.2 Measures of Central Tendency
    6.3 Measures of Variation
    6.4 Normal Distributions and Binomial Approximation
  • 7. Markov Chains
    Application Preview: Weather in Sri Lanka
    7.1 States and Transitions
    7.2 Regular Markov Chains
    7.3 Absorbing Markov Chains
  • 8. Game Theory
    Application Preview: Sherlock Holmes and James Moriarty
    8.1 Two-Person Games and Saddle Points
    8.2 Mixed Strategies
    8.3 Games and Linear Programming
  • Appendix: Normal Probabilities Using Tables
  • Answers to Selected Exercises
  • Index
  • Available on the Web
  • L. Logic
    L.1 Statements and Connectives
    Application Preview: Grammar, Logic, and Rhetoric
    L.2 Truth Tables
    Application Preview: Circuits
    L.3 Implications
    Application Preview: "If..., then..." as a Computer Instruction
    L.4 Valid Arguments
    Application Preview: Fuzzy Logic and Artificial Intelligence
    L.5 Quantifiers and Euler Diagrams
    Application Preview: The Dog Walking Ordinance
    Chapter Projects and Essays

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