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Fragments Of Infinity

Author: Ivars Peterson
Publisher: Wiley
ISBN: 9781684422265
Size: 77.24 MB
Format: PDF, Mobi
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A visual journey to the intersection of math and imagination, guided by an award-winning author Mathematics is right brain work, art left brain, right? Not so. This intriguing book shows how intertwined the disciplines are. Portraying the work of many contemporary artists in media from metals to glass to snow, Fragments of Infinity draws us into the mysteries of one-sided surfaces, four-dimensional spaces, self-similar structures, and other bizarre or seemingly impossible features of modern mathematics as they are given visible expression. Featuring more than 250 beautiful illustrations and photographs of artworks ranging from sculptures both massive and minute to elaborate geometric tapestries and mosaics of startling complexity, this is an enthralling exploration of abstract shapes, space, and time made tangible. Ivars Peterson (Washington, DC) is the mathematics writer and online editor of Science News and the author of The Jungles of Randomness (Wiley: 0-471-16449-6), as well as four previous trade books.

The Mathematical Tourist

Author: Ivars Peterson
Publisher: Holt Paperbacks
ISBN: 1429963344
Size: 60.71 MB
Format: PDF, ePub
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In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.

Mathematical Treks

Author: Ivars Peterson
Publisher: MAA
ISBN: 9780883855379
Size: 32.38 MB
Format: PDF, Mobi
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Collected articles on mathematics from the popular Math treks column; extra web support available.

A Student S Guide To The Study Practice And Tools Of Modern Mathematics

Author: Donald Bindner
Publisher: CRC Press
ISBN: 1439846073
Size: 49.45 MB
Format: PDF, Mobi
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A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and MapleTM to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities. The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform mathematical research, and how to give mathematical presentations. The second section focuses on the use of mathematical tools for mathematical typesetting, generating data, finding patterns, and much more. The text describes how to compose a LaTeX file, give a presentation using Beamer, create mathematical diagrams, use computer algebra systems, and display ideas on a web page. The authors cover both popular commercial software programs and free and open source software, such as Linux and R. Showing how to use technology to understand mathematics, this guide supports students on their way to becoming professional mathematicians. For beginning mathematics students, it helps them study for tests and write papers. As time progresses, the book aids them in performing advanced activities, such as computer programming, typesetting, and research.

Seeing Green

Author: Finis Dunaway
Publisher: University of Chicago Press
ISBN: 0226169936
Size: 76.96 MB
Format: PDF, Kindle
View: 1975
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American environmentalism is defined by its icons: the “Crying Indian,” who shed a tear in response to litter and pollution; the cooling towers of Three Mile Island, site of a notorious nuclear accident; the sorrowful spectacle of oil-soaked wildlife following the ExxonValdez spill; and, more recently, Al Gore delivering his global warming slide show in An Inconvenient Truth. These images, and others like them, have helped make environmental consciousness central to American public culture. Yet most historical accounts ignore the crucial role images have played in the making of popular environmentalism, let alone the ways that they have obscured other environmental truths. Finis Dunaway closes that gap with Seeing Green. Considering a wide array of images—including pictures in popular magazines, television news, advertisements, cartoons, films, and political posters—he shows how popular environmentalism has been entwined with mass media spectacles of crisis. Beginning with radioactive fallout and pesticides during the 1960s and ending with global warming today, he focuses on key moments in which media images provoked environmental anxiety but also prescribed limited forms of action. Moreover, he shows how the media have blamed individual consumers for environmental degradation and thus deflected attention from corporate and government responsibility. Ultimately, Dunaway argues, iconic images have impeded efforts to realize—or even imagine—sustainable visions of the future. Generously illustrated, this innovative book will appeal to anyone interested in the history of environmentalism or in the power of the media to shape our politics and public life.

Polynomial Root Finding And Polynomiography

Author: Bahman Kalantari
Publisher: World Scientific
ISBN: 9812700595
Size: 52.59 MB
Format: PDF
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This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.

Mathematics And Art

Author: Claude Bruter
Publisher: Springer Science & Business Media
ISBN: 3662049090
Size: 11.55 MB
Format: PDF
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Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.

Islands Of Truth

Author: Ivars Peterson
Publisher: W H Freeman & Company
ISBN: 9780716721482
Size: 48.38 MB
Format: PDF, ePub
View: 6743
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Ivars Peterson has come up with another itinerary of Mathland - where the habitat is mysterious and the inhabitants fascinating. He explores uncharted islands, introducing strange vibrations in the shadows of chaos, new twists in knot physics, and the straight side of circles. The tour is enjoyable to experienced travellers and first-time tourists alike. Peterson, a journalist with Science News, makes the arcane intelligible by interpreting mathematics into engaging prose.