Mathematics: A Practical Odyssey

Cover
Half Title
Title
Statement
Copyright
Contents
Overview
Ch 1: Logic
	Ch 1: Introduction
	Ch 1: What We Will Do In This Chapter
	1.1: Deductive Versus Inductive Reasoning
	1.1: Exercises
	1.2: Symbolic Logic
	1.2: Exercises
	1.3: Truth Tables
	1.3: Exercises
	1.4: More on Conditionals
	1.4: Exercises
	1.5: Analyzing Arguments
	1.5: Exercises
	1.6: Deductive Proof of Validity
	1.6: Exercises
	Ch 1: Chapter Review
Ch 2: Sets and Counting
	Ch 2: Introduction
	Ch 2: What We Will Do In This Chapter
	2.1: Sets and Set Operations
	2.1: Exercises
	2.2: Applications of Venn Diagrams
	2.2: Exercises
	2.3: Introduction to Combinatorics
	2.3: Exercises
	2.4: Permutations and Combinations
	2.4: Exercises
	2.5: Infinite Sets
	2.5: Exercises
	Ch 2: Chapter Review
Ch 3: Probability
	Ch 3: Introduction
	Ch 3: What We Will Do In This Chapter
	3.1: History of Probability
	3.1: Exercises
	3.2: Basic Terms of Probability
	3.2: Exercises
	3.3: Basic Rules of Probability
	3.3: Exercises
	3.4: Combinatorics and Probability
	3.4: Exercises
	3.5: Expected Value
	3.5: Exercises
	3.6: Conditional Probability
	3.6: Exercises
	3.7: Independence, Medical Tests, and Genetics
	3.7: Exercises
	Ch 3: Chapter Review
Ch 4: Statistics
	Ch 4: Introduction
	Ch 4: What We Will Do In This Chapter
	4.1: Population, Sample, and Data
	4.1: Exercises
	4.2: Measures of Central Tendency
	4.2: Exercises
	4.3: Measures of Dispersion
	4.3: Exercises
	4.4: The Normal Distribution
	4.4: Exercises
	4.5: Polls and Margin of Error
	4.5: Exercises
	4.6: Linear Regression
	4.6: Exercises
	Ch 4: Chapter Review
Ch 5: Finance
	Ch 5: Introduction
	Ch 5: What We Will Do In This Chapter
	5.1: Simple Interest
	5.1: Exercises
	5.2: Compound Interest
	5.2: Exercises
	5.3: Annuities
	5.3: Exercises
	5.4: Amortized Loans
	5.4: Exercises
	5.5: Annual Percentage Rate with a Ti’s Tvm Application
	5.5: Exercises
	5.6: Payout Annuities
	5.6: Exercises
	Ch 5: Chapter Review
Ch 6: Voting and Apportionment
	Ch 6: Introduction
	Ch 6: What We Will Do In This Chapter
	6.1: Voting Systems
	6.1: Exercises
	6.2: Methods of Apportionment
	6.2: Exercises
	6.3: Flaws of Apportionment
	6.3: Exercises
	Ch 6: Chapter Review
Ch 7: Number Systems and Number Theory
	Ch 7: Introduction
	Ch 7: What We Will Do In This Chapter
	7.1: Place Systems
	7.1: Exercises
	7.2: Addition and Subtraction in Different Bases
	7.2: Exercises
	7.3: Multiplication and Division in Different Bases
	7.3: Exercises
	7.4: Prime Numbers and Perfect Numbers
	7.4: Exercises
	7.5: Fibonacci Numbers and the Golden Ratio
	7.5: Exercises
	Ch 7: Chapter Review
Ch 8: Geometry
	Ch 8: Introduction
	Ch 8: What We Will Do In This Chapter
	8.1: Perimeter and Area
	8.1: Exercises
	8.2: Volume and Surface Area
	8.2: Exercises
	8.3: Egyptian Geometry
	8.3: Exercises
	8.4: The Greeks
	8.4: Exercises
	8.5: Right Triangle Trigonometry
	8.5: Exercises
	8.6: Linear Perspective
	8.6: Exercises
	8.7: Conic Sections and Analytic Geometry
	8.7: Exercises
	8.8: Non-Euclidean Geometry
	8.8: Exercises
	8.9: Fractal Geometry
	8.9: Exercises
	8.10: The Perimeter and Area of a Fractal
	8.10: Exercises
	Ch 8: Chapter Review
Ch 9: Graph Theory
	Ch 9: Introduction
	Ch 9: What We Will Do In This Chapter
	9.1: A Walk Through Königsberg
	9.1: Exercises
	9.2: Graphs and Euler Trails
	9.2: Exercises
	9.3: Hamilton Circuits
	9.3: Exercises
	9.4: Networks
	9.4: Exercises
	9.5: Scheduling
	9.5: Exercises
	Ch 9: Chapter Review
Ch 10: Exponential and Logarithmic Functions
	Ch 10: Introduction
	Ch 10: What We Will Do In This Chapter
	10.0A: Review of Exponentials and Logarithms
	10.0A: Exercises
	10.0B: Review of Properties of Logarithms
	10.0B: Exercises
	10.1: Exponential Growth
	10.1: Exercises
	10.2: Exponential Decay
	10.2: Exercises
	10.3: Logarithmic Scales
	10.3: Exercises
	Ch 10: Chapter Review
Ch 11: Markov Chains
	Ch 11: Introduction
	Ch 11: What We Will Do In This Chapter
	11.0A: Review of Matrices
	11.0A: Exercises
	11.0B: Review of Systems of Linear Equations
	11.0B: Exercises
	11.1: Markov Chains and Tree Diagrams
	11.1: Exercises
	11.2: Markov Chains and Matrices
	11.2: Exercises
	11.3: Long-Range Predictions with Markov Chains
	11.3: Exercises
	11.4: Solving Larger Systems of Equations
	11.4: Exercises
	11.5: More on Markov Chains
	11.5: Exercises
	Ch 11: Chapter Review
Ch 12: Linear Programming
	Ch 12: Introduction
	Ch 12: What We Will Do In This Chapter
	12.0: Review of Linear Inequalities
	12.0: Exercises
	12.1: The Geometry of Linear Programming
	12.1: Exercises
	Ch 12: Chapter Review
Appendix A: Using a Scientific Calculator
Appendix B: Using a Graphing Calculator
Appendix C: Graphing with a Graphing Calculator
Appendix D: Finding Points of Intersections with a Graphing Calculator
Appendix E: Dimensional Analysis
Appendix F: Body Table for the Standard Normal Distribution
Appendix G: Selected Answers to Odd Exercises
Index