Mathematics : A Practical Odyssey
ISBN: 9780534400590 | 0534400590
Edition: 5thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 6/18/2003
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MATHEMATICS: A PRACTICAL ODYSSEY is a market leader, well known for its clear writing and unique variety of topics, including its accessible chapters on logarithms and exponential functions, calculus and Markov chains. Johnson and Mowry's text emphasizes the practical applications and the history of mathematics. It illustrates to students how mathematics is relevant to their education, human history, and culture. The authors effectively demonstrate how learning algebraic concepts allows students to understand more about how logic, probability, ... MORE
| 1. LOGIC | |
| Deductive vs | |
| Inductive Reasoning | |
| Symbolic Logic | |
| Truth Tables | |
| More on Conditionals | |
| Analyzing Arguments | |
| 2. SETS AND COUNTING | |
| Sets and Sets Operations | |
| Applicat... MORE | |
| Introduction to Combinatronics | |
| Permutations and Combinations | |
| Voting Systems | |
| Infinite Sets | |
| 3. PROBABILITY | |
| History of Probability | |
| Basic Terms of Probability | |
| Basic Rules of Probability | |
| Combinatronics and Probability | |
| Expected Value | |
| Conditional Probability | |
| Independence; Trees in Genetics | |
| 4. STATISTICS | |
| Population, Sample, and Data | |
| Measures of Central Tendency | |
| Measures of Dispersion | |
| The Normal Distribution | |
| Polls and Margin of Error | |
| Linear Regression | |
| 5. FINANCE | |
| Simple Interest | |
| Compound Interest | |
| Annuities | |
| Amortized Loans | |
| Annual Percentage Rate on a Graphing Calculator | |
| Payout Annuities | |
| 6. GEOMETRY | |
| Perimeter and Area | |
| Volume and Surface Area | |
| Egyptian Geometry | |
| The Greeks | |
| Right Triangle Trigonometry | |
| Conic Sections | |
| Non-Euclidean Geometry | |
| Fractal Geometry | |
| The Perimeter and Area of a Fractal | |
| 7. MATRICES AND MARKOV CHAINS | |
| Review of Matrices | |
| Markov Chains | |
| Systems of Linear Equations | |
| Long-Range Predictions with Markov Chains | |
| Solving Larger Systems of Equations | |
| More on Markov Chains | |
| 8. LINEAR PROGRAMMING | |
| Review of Linear Inequalities | |
| The Geometry of Linear Programming | |
| Introduction to the Simplex Method | |
| The Simplex Method: Complete Problems | |
| 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
| Review of Exponentials and Logarithms | |
| Review of Properties of Logarithms/ Exponential Growth | |
| Exponential Decay | |
| Logarithmic Scales | |
| 10. CALCULUS | |
| Review of Ratios, Parabolas, and Functions | |
| The Antecedents of Calculus | |
| Four Problems | |
| Newton and Tangent Lines | |
| Newton on Falling Objects and the Derivative | |
| The Trajectory of a Cannonball | |
| Newton and Areas | |
| Conclusion | |
| Appendix A: Using A Scientific Calculator | |
| Appendix B: Using A Graphing Calculator | |
| Appendix C: Graphing With A Graphing Calculator | |
| Appendix D: Finding Points of Intersection with A Graphing Calculator | |
| Appendix E: Dimensional Analysis | |
| Appendix F: Body Table for the Standard Normal Distribution | |
| Appendix G: Answers To Selected Exercises |
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