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Stephen Erfle - Electronic String Art, Inbunden

Inbunden, Engelska, 2024

Electronic String Art

Rhythmic Mathematics

Av Stephen Erfle

Del i serien AK Peters/CRC Recreational Mathematics Series

1865 kr

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Beskrivning
String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (although there are variations that use different modalities). This activity is beloved because simple counting rules are used to create beautiful images that can both adorn walls and excite young minds. The downside of this highly tactile activity is that it is quite time-consuming and rigid. By contrast, electronic string art offers much more flexibility to set up or change nail locations and counting rules, and the images created from those changes change instantaneously.Electronic String Art: Rhythmic Mathematics invites readers to use the author’s digital resources available on the ESA website to play with the parameters inherent in string art models while offering concise, accessible explanations of the underlying mathematical principles regarding how the images were created and how they change. Readers will have the opportunity to create visually beautiful works of art while learning concepts from geometry, number theory, and modular arithmetic from approximately 200 short-interdependent sections.FeaturesReaders are able to drill-down on images in order to understand why they work using short (1 to 2 page) stand-alone sectionsSections are lessons that were created so that they could be digested in a single sittingThese sections are stand-alone in the sense that they need not be read sequentially but can be referred to based on images that the reader finds interesting An open-ended, inherently flexible teaching resource for elementary, middle, and high school-level mathematicsThe most mathematically challenging sections (or portions of a section) are designated MA and may not be accessible to elementary and middle school readers Will be appreciated by anyone interested in recreational mathematics or mathematical artworks even if the users are not interested in the underlying mathematicsIncludes exercises, solutions, and many online digital resourcesThese QR codes take you to these digital resources. One takes you directly to the web version of the string art model (used as a starting point for teaching the parameters of the model in Section 25.5). The other takes you to the ESA web page with additional links to a variety of resources.
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Stephen Erfle is a professor at Dickinson College. Although he was trained as a microeconomic theorist specializing in industrial organization and regulation, he has spent much of his academic life working at the borders of traditional economics. He has used his economist’s toolkit to examine topics in a wide variety of fields including public health, exercise psychology, political geography, mathematics education, and communications theory in addition to economics.He has consulted for a variety of organizations including the Seagram Classics Wine Company, the Forum on Education Abroad, and the Pennsylvania Department of Health. His Seagram Classics sabbatical reoriented the direction of his teaching and research as it turned his former analytical focus (theorem and proof) into a more empirical focus (what does the data tell us). It also led him to cofound the international business and management major at Dickinson College. One of the core courses in that major, Managerial Decision Making, teaches students to analyze the kinds of decisions he was asked to answer during his time working for Seagram Classics.He has spent much of his time in the past couple of decades devoted to pedagogical issues revolving around providing geometric interpretations and explanations for a variety of topics. The books and papers in these topic areas seek to explain economic and mathematical concepts in intuitive terms, often to students with limited mathematical backgrounds.He received his BS in Mathematics and BA in Economics from University of California, Davis, and Ph.D. in Economics from Harvard University.

Recensioner i media

“This large format paperback edition of Stephen Erfle's "Electronic String Art: Rhythmic Mathematics" from CRC Press is especially and unreservedly recommended for personal, professional, and college/university library digital art collections.”-Midwest Book Review"String art involves winding string around nails on a board (hence is unrelated to string figures, in which string is strung using fingers of one or more people). Author Erfle provides parameterized spreadsheet and web-based tools to produce images with varying characteristics (although all are centrally symmetric). The book contains lessons on how the images change with the parameters, suitable for middle school students. Little mathematics beyond counting is assumed, but later explanations involve modular arithmetic and theorems about angles in a circle."-MAA Mathematics Magazine

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