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| Genre/Form: | Textbooks |
|---|---|
| Document Type: | Book |
| All Authors / Contributors: |
Larry Joel Goldstein; David I Schneider; Martha J Siegel |
| ISBN: | 0321571894 9780321571892 |
| OCLC Number: | 267054884 |
| Description: | xii, 617 p., [57] p. : ill. (some col.) ; 27 cm. |
| Contents: | Preface Index of Applications 1. Linear Equations and Straight Lines 1.1 Coordinate Systems and Graphs 1.2 Linear Inequalities 1.3 The Intersection Point of a Pair of Lines 1.4 The Slope of a Straight Line 1.5 The Method of Least Squares Chapter Project: Break-even Analysis 2. Matrices 2.1 Solving Systems of Linear Equations, I 2.2 Solving Systems of Linear Equations, II 2.3 Arithmetic Operations on Matrices 2.4 The Inverse of a Matrix 2.5 The Gauss-Jordan Method for Calculating Inverses 2.6 Input-Output Analysis Chapter Project: Population Dynamics 3. Linear Programming, A Geometric Approach 3.1 A Linear Programming Problem 3.2 Linear Programming, I 3.3 Linear Programming, II Chapter Project: Shadow Prices 4. The Simplex Method 4.1 Slack Variables and the Simplex Tableau 4.2 The Simplex Method, I: Maximum Problems 4.3 The Simplex Method, II: Minimum Problems 4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems 4.5 Duality Chapter Project: Shadow Prices 5. Sets and Counting 5.1 Sets 5.2 A Fundamental Principle of Counting 5.3 Venn Diagrams and Counting 5.4 The Multiplication Principle 5.5 Permutations and Combinations 5.6 Further Counting Problems 5.7 The Binomial Theorem 5.8 Multinomial Coefficients and Partitions Chapter Project: Pascal's Triangle 6. Probability 6.1 Introduction 6.2 Experiments, Outcomes, Samples and Events 6.3 Assignment of Probabilities 6.4 Calculating Probabilities of Events 6.5 Conditional Probability and Independence 6.6 Tree Diagrams 6.7 Bayes' Theorem 6.8 Simulation Chapter Project: Two Paradoxes 7. Probability and Statistics 7.1 Representation of Data 7.2 Frequency and Probability Distributions 7.3 Binomial Trials 7.4 The Mean 7.5 The Variance and Standard Deviation 7.6 The Normal Distribution 7.7 Normal Approximation to the Binomial Distribution Chapter Project: An Unexpected Expected Value 8. Markov Processes 8.1 The Transition Matrix 8.2 Regular Stochastic Matrices 8.3 Absorbing Stochastic Matrices Chapter Project: Doubly Stochastic Matrices 9. The Theory of Games 9.1 Games and Strategies 9.2 Mixed Strategies 9.3 Determining Optimal Mixed Strategies Chapter Project: Simulating the Outcomes of Mixed-Strategy Games 10. The Mathematics of Finance 10.1 Interest 10.2 Annuities 10.3 Amortization of Loans 10.4 Personal Financial Decisions Chapter Project: Two Items of Interest 11. Difference Equations and Mathematical Models 11.1 Introduction to Difference Equations, I 11.2 Introduction to Difference Equations, II 11.3 Graphing Difference Equations 11.4 Mathematics of Personal Finance 11.5 Modeling with Difference Equations Chapter Project: Connections to Markov Processes 12. Logic 12.1 Introduction to Logic 12.2 Truth Tables 12.3 Implication 12.4 Logical Implication and Equivalence 12.5 Valid Argument 12.6 Predicate Calculus 12.7 Logic Circuits Chapter Project: A Logic Puzzle Appendix A: Areas under the Standard Normal Curve Appendix B: Using the TI-83/84 Plus Graphing Calculators Appendix C: Spreadsheet Fundamentals Appendix D: Using the TI-89 Graphing Calculators Answers to Odd-Numbered Exercises Index |
| Other Titles: | Finite mathematics and its applications |
| Responsibility: | Larry J. Goldstein, David I. Schneider, Martha J. Siegel. |
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