Mathematics : a practical odyssey

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. 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 Users discover the many ways in which mathematics is relevant to their lives with MATHEMATICS: A PRACTICAL ODYSSEY, 8th Edition 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 creative human aspect. Helps users discover the many ways in which mathematics is relevant to their lives. This title helps students 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 creative human aspect.