Beautiful, simple, exact, crazy : mathematics in the real world /
Khare, Apoorva,
Beautiful, simple, exact, crazy : mathematics in the real world / Apoorva Khare and Anna Lachowska. - xv, 459 pages : illustrations ; 24 cm
Includes bibliographical references and index.
1. Algebra : the art and craft of computation -- 2. Velocity : on the road -- 3. Acceleration : after the apple falls -- 4. Irrational : the golden mean and other roots -- 5. Exponents : how much would you pay for the island of Manhattan? -- 6. Logarithms I. : money grows on trees, but it takes time -- 7. Logarithms II : rescaling the world -- 8. e : the queen of growth and decay -- 9. Finite series : summing up your mortgage, geometrically -- 10. Infinite series : fractals and the myth of forever -- 11. Estimation : what is your first guess? -- 12. Modular arithmetic I : around the clock and the calendar -- 13. Modular arithmetic II : how to keep (and break) secrets -- 14. Probability : dice, coins, cards, and winning streaks -- 15. Permutations and combinations : counting your choices -- 16. Bayes' law : how to win a car.. or a goat -- 17. Statistics : Babe Ruth and Barry Bonds -- 18. Regression : chasing connections in big data -- The bigger story.
"In this vibrant work, which is ideal for 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 deep space probe transmissions are similar to medieval knights. Ideal for undergraduate coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience." --
0300190891 9780300190892
2015935012
Mathematics--Study and teaching.
Mathematics.
Mathematics--Philosophy.
Beautiful, simple, exact, crazy : mathematics in the real world / Apoorva Khare and Anna Lachowska. - xv, 459 pages : illustrations ; 24 cm
Includes bibliographical references and index.
1. Algebra : the art and craft of computation -- 2. Velocity : on the road -- 3. Acceleration : after the apple falls -- 4. Irrational : the golden mean and other roots -- 5. Exponents : how much would you pay for the island of Manhattan? -- 6. Logarithms I. : money grows on trees, but it takes time -- 7. Logarithms II : rescaling the world -- 8. e : the queen of growth and decay -- 9. Finite series : summing up your mortgage, geometrically -- 10. Infinite series : fractals and the myth of forever -- 11. Estimation : what is your first guess? -- 12. Modular arithmetic I : around the clock and the calendar -- 13. Modular arithmetic II : how to keep (and break) secrets -- 14. Probability : dice, coins, cards, and winning streaks -- 15. Permutations and combinations : counting your choices -- 16. Bayes' law : how to win a car.. or a goat -- 17. Statistics : Babe Ruth and Barry Bonds -- 18. Regression : chasing connections in big data -- The bigger story.
"In this vibrant work, which is ideal for 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 deep space probe transmissions are similar to medieval knights. Ideal for undergraduate coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience." --
0300190891 9780300190892
2015935012
Mathematics--Study and teaching.
Mathematics.
Mathematics--Philosophy.