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Mathematics : A Practical Odyssey

ISBN: 9780495110743 | 0495110744
Edition: 6th
Format: Hardcover
Publisher: Cengage Learning
Pub. Date: 9/22/2006

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SummaryTable of Contents
Well known for its clear writing and unique variety of topics, MATHEMATICS: A PRACTICAL ODYSSEY demonstrates how mathematics is usable and relevant to students. Throughout the book, the authors emphasize problem solving skills, practical applications, and the history of mathematics. Students encounter topics that will be useful in their daily lives, such as calculating interest and understanding voting systems. They are encouraged to recognize the relevance of mathematics and appreciate its human aspect. To offer flexibility in content, the boo... MORE
Logic
Deductive vs. Inductive Reasoning
Symbolic Logic
Truth Tables
More on Conditionals
Analyzing Arguments
Sets And Counting
Sets and Set Operations
Applications of Venn Diagrams
Introduction to Combinatorics
Permutations and Combinations
Infinite... MORE
Probability
History of Probability
Basic Terms of Probability
Basic Rules of Probability
Combinatorics and Probability
Expected Value
Conditional Probability
Independence
Trees in Genetics
Statistics
Population, Sample, and Data
Measures of Central Tendency
Measures of Dispersion
The Normal Distribution
Polls and Margin of Error
Linear Regression
Finance
Simple Interest
Compound Interest
Annuities
Amortized Loans
Annual Percentage Rate on a Graphing Calculator
Payout Annuities
Voting And Apportionment
Voting Systems
Methods of Apportionment
Flaws of Apportionment
Number Systems And Number Theory
Place Systems
Arithmetic in Different Bases
Primes and Perfect Numbers
The Fibonacci Sequence and the Golden Ratio
Geometry
Perimeter and Area
Volume and Surface Area
Egyptian Geometry
The Greeks
Right Triangle Trigonometry
Conic Sections and Analytic Geometry
Non-Euclidean Geometry
Fractal Geometry
The Perimeter and Area of a Fractal
Graph Theory
A Walk Through Konigsberg
Graphs and Euler Paths
Hamilton Circuits
Networks
Scheduling
Exponential And Logarithmic Functions
Review of Exponentials and Logarithms
Review of Properties of Logarithms
Exponential Growth
Exponential Decay
Logarithmic Scales
Matrices And Markov Chains
Review of Matrices
Introduction to Markov Chains
Systems of Linear Equations
Long-Range Predictions
Solving Larger Systems of Equations
More on Markov Chains
Linear Programming
Review of Linear Inequalities
The Geometry of Linear Programming
Appendices: Using a Scientific Calculator
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
Answers to Selected Exercises
Available On The Web: Linear Programming
Introduction to the Simplex Method
The Simplex Method: Complete Problems
The Concepts And History Of Calculus
The 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
Table of Contents provided by Publisher. All Rights Reserved.

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