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Beautiful, Simple, Exact, Crazy
Mathematics in the Real World
-
Apoorva Khare
and Anna Lachowska
Language:
English
Published/Copyright:
2015
About this book
In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska’s enlightening mathematics tour will appeal to a wide audience.
Author / Editor information
Apoorva Khare is currently a research associate in mathematics and statistics at Stanford University. Anna Lachowska is a lecturer in mathematics at Yale University.
Topics
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Frontmatter
i -
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Contents
v -
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Preface
vii -
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Acknowledgments
xv -
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1. Algebra: The art and craft of computation
1 -
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2. Velocity: On the road
19 -
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3. Acceleration: After the apple falls
39 -
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4. Irrational: The golden mean and other roots
59 -
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5. Exponents: How much would you pay for the island of Manhattan?
79 -
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6. Logarithms I: Money grows on trees, but it takes time
97 -
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7. Logarithms II: Rescaling the world
107 -
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8. e: The queen of growth and decay
129 -
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9. Finite series: Summing up your mortgage, geometrically
149 -
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10. Infinite series: Fractals and the myth of forever
167 -
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11. Estimation: What is your first guess?
193 -
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12. Modular arithmetic I:Around the clock and the calendar
213 -
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13. Modular arithmetic II: How to keep (and break) secrets
237 -
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14. Probability: Dice, coins, cards, and winning streaks
261 -
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15. Permutations and combinations: Counting your choices
277 -
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16. Bayes' law: How to win a car... or a goat
297 -
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17. Statistics: Babe Ruth and Barry Bonds
325 -
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18. Regression: Chasing connections in big data
341 -
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The bigger story
353 -
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Solutions to odd-numbered exercises
357 -
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Practice exams
423 -
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Index
457
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 25, 2015
eBook ISBN:
9780300216424
Pages and Images/Illustrations in book
Main content:
480