Excursions in Modern Mathematics
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Excursions in Modern Mathematics

Excursions in Modern Mathematics


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About the Book

For courses in Liberal Arts Mathematics. Math: Applicable, Accessible, Modern Excursions in Modern Mathematics introduces readers to the power and beauty of math. By developing an appreciation for the aesthetics and applicability of mathematics, readers who previously felt math was an “unknowable” subject can approach it with a new perspective. Contemporary topics ranging from elections, to networks, to analyzing data show readers that math is an accessible tool that can be applicable and interesting for anyone. Refinement and updating of examples and exercises, plus increased resources, makes the 9th Edition a relevant, accessible, and complete program. Also available with MyLab Math. MyLabTM Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. NOTE: You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for: 0134765826 / 9780134765822 Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package, 9/e Package consists of: 0134468376 / 9780134468372 Excursions in Modern Mathematics 0134751817 / 9780134751818 MyLab Math with Pearson eText -- Standalone Access Card -- for Excursions in Modern Mathematics

Table of Contents:
1 The Mathematics of Elections 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 2 The Mathematics of Power 2.1 An Introduction to Weighted Voting 2.2 Banzhaf Power 2.3 Shapley-Shubik Power 2.4 Subsets and Permutations 3 The Mathematics of Sharing 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 4 The Mathematics of Apportionment 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 5 The Mathematics of Getting Around 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 6 The Mathematics of Touring 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 7 The Mathematics of Networks 7.1 Networks and Trees 7.2 Spanning Trees, MSTs, and MaxSTs 7.3 Kruskal’s Algorithm 8 The Mathematics of Scheduling 8.1 An Introduction to Scheduling 8.2 Directed Graphs 8.3 Priority-List Scheduling 8.4 The Decreasing-Time Algorithm 8.5 Critical Paths and the Critical-Path Algorithm 9 Population Growth Models 9.1 Sequences and Population Sequences 9.2 The Linear Growth Model 9.3 The Exponential Growth Model 9.4 The Logistic Growth Model 10 Financial Mathematics 10.1 Percentages 10.2 Simple Interest 10.3 Compound Interest 10.4 Retirement Savings 10.5 Consumer Debt 11 The Mathematics of Symmetry 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 12 Fractal Geometry 12.1 The Koch Snowflake and Self-Similarity 12.2 The Sierpinski Gasket and the Chaos Game 12.3 The Twisted Sierpinski Gasket 12.4 The Mandelbrot Set 13 Fibonacci Numbers and the Golden Ratio 13.1 Fibonacci Numbers 13.2 The Golden Ratio 13.3 Gnomons 13.4 Spiral Growth in Nature 14 Censuses, Surveys, Polls, and Studies 14.1 Enumeration 14.2 Measurement 14.3 Cause and Effect 15 Graphs, Charts, and Numbers 15.1 Graphs and Charts 15.2 Means, Medians, and Percentiles 15.3 Ranges and Standard Deviations 16 Probabilities, Odds, and Expectations 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 17 The Mathematics of Normality 17.1 Approximately Normal Data Sets 17.2 Normal Curves and Normal Distributions 17.3 Modeling Approximately Normal Distributions 17.4 Normality in Random Events Answers to Selected Exercises Index Photo Credits


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Product Details
  • ISBN-13: 9780134468372
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 100 mm
  • No of Pages: 600
  • Spine Width: 100 mm
  • Width: 100 mm
  • ISBN-10: 0134468376
  • Publisher Date: 26 Jun 2017
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 100 gr


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