ISBN-10:
0495017027
ISBN-13:
9780495017028
Pub. Date:
08/24/2006
Publisher:
Cengage Learning
Finite Mathematics (with Personal Tutor, Premium Web Site Printed Access Card) / Edition 4

Finite Mathematics (with Personal Tutor, Premium Web Site Printed Access Card) / Edition 4

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Product Details

ISBN-13: 9780495017028
Publisher: Cengage Learning
Publication date: 08/24/2006
Series: Available Titles CengageNOW Series
Edition description: Older Edition
Pages: 594
Product dimensions: 8.30(w) x 10.20(h) x 1.00(d)

About the Author

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 15 research papers in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 15 research papers in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.

Table of Contents

0. ALGEBRA REVIEW. Real Numbers. Exponents and Radicals. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. 1. FUNCTIONS AND LINEAR MODELS. Functions from the Numerical and Algebraic Viewpoints. Functions from the Graphical Viewpoint. Linear Functions. Linear Models. Linear Regression. Key Concepts. Review Exercises. Case Study: Modeling Spending on Internet Advertising. Technology Guides. Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions. 2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations. Key Concepts. Review Exercises. Case Study: The Impact of Regulating Sulfur Emissions. Technology Guides. 3. MATRIX ALGEBRA AND APPLICATIONS. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Matrices in Practice: Game Theory. Matrices in Practice: Input-Output Models. Key Concepts. Review Exercises. Case Study: The Japanese Economy. Technology Guides. 4. LINEAR PROGRAMMING. Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality (Optional). Key Concepts. Review Exercises. Case Study: Airline Scheduling. Technology Guides. 5. THE MATHEMATICS OF FINANCE. Simple Interest. Compound Interest. Annuities, Loans, and Bonds. Key Concepts. Review Exercises. Case Study: Saving for College. Technology Guides. 6. SETS AND COUNTING. Sets and Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations. Key Concepts. Review Exercises. Case Study: Designing a Puzzle. Technology Guides. 7. PROBABILITY. Sample Spaces and Events. Estimated Probability. Theoretical Probability and Probability Distributions. Probability and Counting Techniques (optional). Conditional Probability and Independence. Bayes'' Theorem and Applications. Probability in Practice: Markov Systems. Key Concepts. Review Exercises. Case Study: The Monty Hall Problem. Technology Guides. 8. RANDOM VARIABLES AND STATISTICS. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions. Key Concepts. Review Exercises. Case Study: Spotting Tax Fraud with Benford's Law. Technology Guides. Optional Internet Topics: Sampling Distributions and the Central Limit Theorem. Confidence Intervals. Hypothesis Testing. APPENDIX A: LOGIC. APPENDIX B TABLE: AREA UNDER A NORMAL CURVE. ANSWERS TO SELECTED EXERCISES. INDEX. OPTIONAL INTERNET TOPIC. S. CALCULUS APPLIED TO PROBABILITY AND STATISTICS. Introduction. Continuous Random Variables and Histograms. Probability Density Functions: Uniform, Exponential, Normal, and Beta. Mean, Median, Variance and Standard Deviation. Case Study: Creating a Family Trust.

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