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7. Logarithms II: Rescaling the world
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Apoorva Khare
and Anna Lachowska
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Chapters in this book
- Frontmatter i
- Contents v
- Preface vii
- Acknowledgments xv
- 1. Algebra: The art and craft of computation 1
- 2. Velocity: On the road 19
- 3. Acceleration: After the apple falls 39
- 4. Irrational: The golden mean and other roots 59
- 5. Exponents: How much would you pay for the island of Manhattan? 79
- 6. Logarithms I: Money grows on trees, but it takes time 97
- 7. Logarithms II: Rescaling the world 107
- 8. e: The queen of growth and decay 129
- 9. Finite series: Summing up your mortgage, geometrically 149
- 10. Infinite series: Fractals and the myth of forever 167
- 11. Estimation: What is your first guess? 193
- 12. Modular arithmetic I:Around the clock and the calendar 213
- 13. Modular arithmetic II: How to keep (and break) secrets 237
- 14. Probability: Dice, coins, cards, and winning streaks 261
- 15. Permutations and combinations: Counting your choices 277
- 16. Bayes' law: How to win a car... or a goat 297
- 17. Statistics: Babe Ruth and Barry Bonds 325
- 18. Regression: Chasing connections in big data 341
- The bigger story 353
- Solutions to odd-numbered exercises 357
- Practice exams 423
- Index 457
Chapters in this book
- Frontmatter i
- Contents v
- Preface vii
- Acknowledgments xv
- 1. Algebra: The art and craft of computation 1
- 2. Velocity: On the road 19
- 3. Acceleration: After the apple falls 39
- 4. Irrational: The golden mean and other roots 59
- 5. Exponents: How much would you pay for the island of Manhattan? 79
- 6. Logarithms I: Money grows on trees, but it takes time 97
- 7. Logarithms II: Rescaling the world 107
- 8. e: The queen of growth and decay 129
- 9. Finite series: Summing up your mortgage, geometrically 149
- 10. Infinite series: Fractals and the myth of forever 167
- 11. Estimation: What is your first guess? 193
- 12. Modular arithmetic I:Around the clock and the calendar 213
- 13. Modular arithmetic II: How to keep (and break) secrets 237
- 14. Probability: Dice, coins, cards, and winning streaks 261
- 15. Permutations and combinations: Counting your choices 277
- 16. Bayes' law: How to win a car... or a goat 297
- 17. Statistics: Babe Ruth and Barry Bonds 325
- 18. Regression: Chasing connections in big data 341
- The bigger story 353
- Solutions to odd-numbered exercises 357
- Practice exams 423
- Index 457