Mathematics : A Practical Odyssey

by Johnson,David B.

Edition:

5th

ISBN13:

9780534400590

ISBN10:

0534400590

Format:

Hardcover

Pub. Date:

6/18/2003

Publisher(s):

Cengage Learning

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Summary

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, statistics, finance, geometry, matrices, logarithms, calculus, and other topics are vital to everyday life.

1. LOGIC
Deductive vs
Inductive Reasoning
Symbolic Logic
Truth Tables
More on Conditionals
Analyzing Arguments
2. SETS AND COUNTING
Sets and Sets Operations
Applications of Venn Diagrams
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