MATHEMATICS: A PRACTICAL ODYSSEY, 8th Edition demonstrates mathematics' usefulness and relevance to students' daily lives through topics such as calculating interest and understanding voting systems. Well known for its clear writing and unique variety of topics, the text emphasizes problem-solving skills, practical applications, and the history of mathematics, and unveils the relevance of mathematics and its human aspect to students. To offer flexibility in content, the book contains more information than might be covered in a one-term course. In addition, the chapters are independent of each other, further enabling instructors to select the ideal topics for their courses.
Author(s): David B. Johnson, Thomas A. Mowry
Edition: 8
Publisher: Cengage Learning
Year: 2015
Language: English
Commentary: Vector PDF
City: Boston MA
Tags: Statistics; Finance; Graph Theory; Number Theory; Probability Theory; Linear Programming; Set Theory; Mathematical Logic; Markov Models; Geometry; Public Choice Theory; Popular Science; Elementary Mathematics
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
