Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing

Princeton University Press
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This book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it. How can reposting on Twitter kill a movie's opening weekend? How can you use mathematics to find your celebrity look-alike? What is Homer Simpson’s method for disproving Fermat’s Last Theorem? Each topic in this refreshingly inviting book illustrates a famous mathematical algorithm or result--such as Google’s PageRank and the traveling salesman problem--and the applications grow more challenging as you progress through the chapters. But don’t worry, helpful solutions are provided each step of the way.

Math Bytes shows you how to do calculus using a bag of chocolate chips, and how to prove the Euler characteristic simply by doodling. Generously illustrated in color throughout, this lively and entertaining book also explains how to create fractal landscapes with a roll of the dice, pick a competitive bracket for March Madness, decipher the math that makes it possible to resize a computer font or launch an Angry Bird--and much, much more. All of the applications are presented in an accessible and engaging way, enabling beginners and advanced readers alike to learn and explore at their own pace--a bit and a byte at a time.

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About the author

Tim Chartier is associate professor of mathematics at Davidson College. He is the coauthor of Numerical Methods (Princeton).
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Additional Information

Publisher
Princeton University Press
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Published on
Apr 6, 2014
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Pages
152
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ISBN
9781400851423
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Language
English
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Genres
Computers / Computer Science
Mathematics / Applied
Mathematics / Discrete Mathematics
Mathematics / Logic
Science / General
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Content Protection
This content is DRM protected.
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Read Aloud
Available on Android devices
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Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results.

The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online.


Clear and concise exposition of standard numerical analysis topics
Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods
Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering
Promotes understanding of computational results through MATLAB exercises
Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination
Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun
Short discussions of the history of numerical methods interspersed throughout
Supplementary materials available online

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