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Mathematics : A Practical Odyssey

ISBN: 9780538495059 | 0538495057

Edition: 7th
Format: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/1/2011

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Summary Table of Contents

Users discover the many ways in which mathematics is relevant to their lives with MATHEMATICS: A PRACTICAL ODYSSEY, 7E and its accompanying online resources. They master problem-solving skills in such areas as calculating interest and understanding voting systems and come to recognize the relevance of mathematics and to appreciate its human aspect.

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Preface
Logic
Deductive Logic versus Inductive Logic
Symbolic Logic
Truth Tables
More on Conditionals
Analyzing Arguments
Review
Sets And Counting
Sets and Set Operations
Applications of Venn Diagrams
Introduction to Combinatorics
Permutations and Combinations
Infinite Sets
Review
Probability
History of Probability
Basic Terms of Probability
Basic Rules of Probability
Combinatorics and Probability
Expected Value
Conditional Probability
Independence
Trees in Genetics
Review
Statistics
Population, Sample, and Data
Measures of Central Tendency
Measures of Dispersion
The Normal Distribution
Polls and Margin of Error
Linear Regression
Review
Finance
Simple IntereSt. Compound IntereSt. Annuities
Amortized Loans
Annual Percentage Rate with a TI's TVM Application
Payout Annuities
Review
Voting And Apportionment
Voting Systems
Methods of Apportionment
Flaws of Apportionment
Review
Number Systems And Number Theory
Place Systems
Addition and Subtraction in Different Bases
Multiplication and Division in Different Bases
Prime Numbers and Perfect Numbers
Fibonacci Numbers and the Golden Ratio
Review
Geometry Perimeter and Area
Volume and Surface Area
Egyptian Geometry
The Greeks
Right Triangle Trigonometry
Linear Perspective
Conic Sections and Analytic Geometry
Non-Euclidean Geometry
Fractal Geometry
The Perimeter and Area of a Fractal
Review
Graph Theory
A Walk through K?nigsberg
Graphs and Euler Trails
Hamilton Circuits
Networks
Scheduling
Review
Exponential And Logarithmic Functions
Review of Exponentials and Logarithms
Review of Properties of Logarithms
Exponential Growth
Exponential Decay
Logarithmic Scales
Review
Matrices And Markov Chains
Review of Matrices
Introduction to Markov Chains
Systems of Linear Equations
Long-Range Predictions with Markov Chains
Solving Larger Systems of Equations
More on Markov Chains
Review
Linear Programming
Review of Linear Inequalities
The Geometry of Linear Programming
Review
Linear Programming (Online)
Introduction to the Simplex Method
The Simplex Method: Complete Problems
Review
The Concepts And History Of Calculus (Online)
Review of Rations, 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
Review
Appendixes
Appendix B Using a Graphing Calculator
Graphing with a Graphing Calculator
Finding Points of Intersection with a Graphing Calculator
Dimensional Analysis
Body Table for the Standard Normal Distribution
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Mathematics : A Practical Odyssey

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