Math C100: Liberal Arts Mathematics

by Chau D. Tran

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This text presents general mathematical ideas and tools used to solve practical problems including logic, sets, numbers, financial calculations, probability, statistics, and mathematics in politics, society, and the arts.

Description from LibreTexts.

Publisher
Coastline College
Subjects
Mathematics
Licence
CC BY, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Mathematics and Problem-Solving
  7. 1.1: Fallacies in Common Language
  8. 1.2: Propositions and Logic
  9. 1.3: Truth Tables
  10. 1.4: Analyzing Arguments
  11. 1.5: Problem Solving
  12. 2: Mathematics and Numbers
  13. 2.1: Estimating the Answer
  14. 2.2: Really Big and Really Small Numbers
  15. 2.3: Deceptive and Misleading Numbers
  16. 2.4: Percentages and Proportions
  17. 2.5: Conversions
  18. 3: Mathematics and Finance
  19. 3.1: Simple and Compound Interest
  20. 3.2: Annuities and Loans
  21. 3.3: Continuous Compounding
  22. 3.4: Federal Budgets and National Debt
  23. 4: Probability and Odds
  24. 4.1: Basic Concepts
  25. 4.2: Conditional Probability
  26. 4.3: Counting
  27. 4.4: Expected Value
  28. 5: Data and Statistics
  29. 5.1: Basics of Statistics
  30. 5.2: Describing Data
  31. 5.3: Numerical Measures of Center and Variation
  32. 5.4: Normal Distribution
  33. 6: Growth and Decay
  34. 6.1: Growth Models
  35. 6.2: Logarithmic Scales in Natural Sciences
  36. 6.3: The pH Scale
  37. 7: Mathematics and the Arts
  38. 7.1: Projective Geometry
  39. 7.2: The Golden Ratio and Fibonacci Sequence
  40. 7.3: Musical Scales
  41. 7.4: Fractals
  42. 8: Mathematics and Politics
  43. 8.1: Apportionment
  44. 8.2: Apportionment of Legislative Districts
  45. 8.3: Voting Theory
  46. 8.4: Weighted Voting
  47. 9: Selected Topics
  48. 9.1: Four Color Theorem
  49. 9.2: How Big is Infinity? Or Is it “Infinities”?
  50. 9.3: “Seven Bridges of Konigsberg”
  51. 9.4: Russell’s Paradox
  52. 9.5: Non-Euclidean Geometry
  53. 10: Appendix
  54. 10.1: Appendix A - Solution to Select "Try it Now" Questions
  55. 10.2: Appendix B - Solutions to Selected Exercises
  56. 10.3: References
  57. Back Matter
  58. Index
  59. Glossary
  60. Detailed Licensing
  61. Detailed Licensing