Opis: Excursions in Modern Mathematics - Peter Tannenbaum

Excursions in Modern Mathematics introduces non-math majors to the power of math by exploring applications like social choice and management science, showing that math is more than a set of formulas. Ideal for an applied liberal arts math course, Tannenbaum's text is known for its clear, accessible writing style and its unique exercise sets that build in complexity from basic to more challenging. The Eighth Edition offers more real data and applications to connect with today's students, expanded coverage of applications like growth, and revised exercise sets. MyMathLab exercise sets are expanded and the new Ready To Go MyMathLab course makes course set-up even easier.PART 1. SOCIAL CHOICE 1. The Mathematics of Elections: The Paradoxes of Democracy 1.1 The Basic Elements of an Election 1.2 The Plurality Method 1.3 The Borda Count Method 1.4 The Plurality-with-Elimination Method 1.5 The Method of Pairwise Comparisons 1.6 Fairness Criteria and Arrow's Impossibility Theorem Conclusion Key Concepts Exercises Projects and Papers 2. The Mathematics of Power: Weighted Voting 2.1 An Introduction to Weighted Voting 2.2 Banzhaf Power 2.3 Shapley-Shubik Power 2.4 Subsets and Permutations Conclusion Key Concepts Exercises Projects and Papers 3. The Mathematics of Sharing: Fair-Division Games 3.1 Fair-Division Games 3.2 The Divider-Chooser Method 3.3 The Lone-Divider Method 3.4 The Lone-Chooser Method 3.5 The Method of Sealed Bids 3.6 The Method of Markers Conclusion Key Concepts Exercises Projects and Papers 4. The Mathematics of Apportionment: Making the Rounds 4.1 Apportionment Problems and Apportionment Methods 4.2 Hamilton's Method 4.3 Jefferson's Method 4.4 Adams's and Webster's Methods 4.5 The Huntington-Hill Method 4.6 The Quota Rule and Apportionment Paradoxes Conclusion Key Concepts Exercises Projects and Papers PART 2. MANAGEMENT SCIENCE 5. The Mathematics of Getting Around: Euler Paths and Circuits 5.1 Street-Routing Problems 5.2 An Introduction to Graphs 5.3 Euler's Theorems and Fleury's Algorithm 5.4 Eulerizing and Semi-Eulerizing Graphs Conclusion Key Concepts Exercises Projects and Papers 6. The Mathematics of Touring: Traveling Salesman Problems 6.1 What Is a Traveling Salesman Problem? 6.2 Hamilton Paths and Circuits 6.3 The Brute-Force Algorithm 6.4 The Nearest-Neighbor and Repetitive Nearest-Neighbor Algorithms 6.5 The Cheapest-Link Algorithm Conclusion Key Concepts Exercises Projects and Papers The Mathematics of Networks 7. The Cost of Being Connected 7.1 Networks and Trees 7.2 Spanning Trees, MST's, and MaxST's 7.3 Kruskal's Algorithm Conclusion Key Concepts Exercises Projects and Papers 8. The Mathematics of Scheduling: Chasing the Critical Path 8.1 An Introduction to Scheduling 8.4 Directed Graphs 8.3 Priority-List Scheduling 8.4 The Decreasing-Time Algorithm 8.5 Critical Paths and the Critical-Path Algorithm Conclusion Key Concepts Exercises Projects and Papers PART 3. GROWTH 9. Population Growth Models: There Is Strength in Numbers 9.1 Sequences and Population Sequences 9.2 The Linear Growth Model 9.3 The Exponential Growth Model 9.4 The Logistic Growth Model Conclusion Key Concepts Exercises Projects and Papers 10. Financial Mathematics: Money Matters 10.1 Percentages 10.2 Simple Interest 10.3 Compound Interest 10.4 Consumer Debt Conclusion Key Concepts Exercises Projects and Papers PART 4. SHAPE AND FORM 11. The Mathematics of Symmetry: Beyond Reflection 11.1 Rigid Motions 11.2 Reflections 11.3 Rotations 11.4 Translations 11.5 Glide Reflections 11.6 Symmetries and Symmetry Types 11.7 Patterns Conclusion Key Concepts Exercises Projects and Papers 12. Fractal Geometry: The Kinky Nature of Nature 12.1 The Koch Snowflake and Self-Similarity 12.2 The Sierpinski Gasket and the Chaos Game 12.3 The Twisted Sierpinski Gasket 13.4 The Mandelbrot Set Conclusion Key Concepts Exercises Projects and Papers 13. Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons 13.1 Fibonacci Numbers 13.2 The Golden Ratio 13.3 Gnomons 13.4 Spiral Growth in Nature Conclusion Key Concepts Exercises Projects and Papers PART 5. STATISTICS 14. Censuses, Surveys, Polls, and Studies: The Joys of Collecting Data 14.1 Enumeration 14.2 Measurement 14.3 Cause and Effect Conclusion Key Concepts Exercises Projects and Papers 15. Graphs, Charts, and Numbers: The Data Show and Tell 15.1 Graphs and Charts 15.2 Means, Medians, and Percentiles 15.3 Ranges and Standard Deviations Conclusion Key Concepts Exercises Projects and Papers 16. Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk 16.1 Sample Spaces and Events 16.2 The Multiplication Rule, Permutations, and Combinations 16.3 Probabilities and Odds 16.4 Expectations 16.5 Measuring Risk Conclusion Key Concepts Exercises Projects and Papers Answers to Selected Exercises Index Photo Credits

Szczegóły: Excursions in Modern Mathematics - Peter Tannenbaum

Tytuł: Excursions in Modern Mathematics
Autor: Peter Tannenbaum
Producent: Pearson
ISBN: 9781292022048
Rok produkcji: 2013
Ilość stron: 544
Oprawa: Miękka
Waga: 1.17 kg

Recenzje: Excursions in Modern Mathematics - Peter Tannenbaum