Finite Mathematics

分类: 图书,进口原版,Science(科学),Mathematics(数学),
品牌: Stefan WanerSteven Costenoble
基本信息出版社:
Brooks/Cole; 4th Revised edition (2007年3月4日)平装:594页正文语种:英语ISBN:049501950X条形码:9780495019503商品尺寸:25 x 20.4 x 2.6 cm商品重量:1.2 KgASIN:049501950X商品描述内容简介Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS, Fourth Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft(r) Excel(r) and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.目录1. FUNCTIONS AND LINEAR MODELS. Functions from the Numerical and Algebraic Viewpoints. Functions from the Graphical Viewpoint. Linear Functions. Linear Models. Linear Regression. Chapter Project: Modeling Spending on Internet Advertising. 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. Chapter Project: The Impact of Regulating Sulfur Emissions. 3. MATRIX ALGEBRA AND APPLICATIONS. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Input-Output Models. Chapter Project: The Japanese Economy. 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). Chapter Project: Airline Scheduling. 5. THE MATHEMATICS OF FINANACE. Simple Interest. Compound Interest. Annuities, Loans, and Bonds. Chapter Project: Saving for College. 6. SETS AND COUNTING. Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations. Chapter Project: Designing a Puzzle. 7. PROBABILITY. Sample Spaces and Events. Estimated Probability. Empirical Probability. Probability and Counting Techniques. Probability Distributions. Conditional Probability and Independence. Bayes' Theorem and Applications. Chapter Project: The Monty Hall Problem. 8. RANDOM VARIABLES AND STATISTICS. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions. Chapter Project: Spotting Tax Fraud with Benford's Law. Optional Internet Topics: Sampling Distributions and the Central Limit Theorem. Confidence Intervals. Hypothesis Testing. 9. MARKOV SYSTEMS. Markov Systems. Distribution Vectors and Powers of the Transition Matrix. Long-Range Behavior of Regular Markov Systems. Absorbing Markov Systems. Chapter Project: Predicting the Price of Gold. APPENDICES. Real Numbers. Table: Area Under a Normal Curve. OPTIONAL INTERNET CHAPTERS. G. GAME THEORY. Two-Person Zero Sum Games; Reduction by Dominance. Strictly Determined Games. Solving Games using the Simplex Method. Expert Opinion--Harvesting Forests. L. INTRODUCTION TO LOGIC. Statements and Logical Operators. Logical Equivalence, Tautologies and Contradictions. The Conditional and the Biconditional. Tautological Implications and Tautological Equivalences. Rules of Inference. Arguments and Proofs.