Beautiful Simple Exact Crazy Mathematics in the Real World 1st Edition by Apoorva Khare – Ebook PDF Instant Download/Delivery:9780300216424, 0300216424
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Product details:
ISBN 10: 0300216424
ISBN 13: 9780300216424
Author: Apoorva Khare
Two mathematicians explore how math fits into everything from art, music, and literature to space probes and game shows. 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 like knights serving as messengers for their traveling prince. Perfect for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska’s enlightening mathematics tour will appeal to a wide audience. “A whirlwind tour through mathematics and its applications to the real world, laced with stimulating exercises and fascinating historical insights. Destined to become a classic of mathematical exposition.” —Eli Maor, author of e: the Story of a Number and Trigonometric Delights “Khare and Lachowska introduce bite-size pieces of important math by surrounding them with interesting context, from the Monty Hall problem for probability to a story by Dino Buzzati for velocity. Math treated with seriousness and fun.” —Michael Frame, co-author, with Benoit Mandelbrot, of Fractals, Graphics, and Mathematics Education“An excellent book, well-suited for a thoughtful, quantitatively-rigorous ‘Math for Humanists’ course.” —William Goldbloom Bloch, author of The Unimaginable Mathematics of Borges’ Library of Babel
Beautiful Simple Exact Crazy Mathematics in the Real World 1st Table of contents:
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
Solutions to odd-numbered exercises
Practice exams
Index
Footnotes
Preface
1 Algebra: The art and craft of computation
2 Velocity: On the road
4 Irrational: The golden mean and other roots
7 Logarithms II: Rescaling the world
8 e: The queen of growth and decay
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
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
Solutions to odd-numbered exercises
Practice exams
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