Fragments of Infinity

Author: Ivars Peterson
Publisher: Wiley
ISBN: 9781684422333
Format: PDF, ePub
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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: Macmillan
ISBN: 0805071598
Format: PDF, Mobi
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A guide to mathematics covers such topics as mathematical proofs, fractals, chaos, prime numbers, four-dimensional geometry, and quasicrystals.

Islands of Truth

Author: Ivars Peterson
Publisher: W H Freeman & Company
ISBN: 9780716721482
Format: PDF, Docs
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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.

Mathematical Treks

Author: Ivars Peterson
Publisher: MAA
ISBN: 9780883855379
Format: PDF, ePub, 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
Format: PDF, Kindle
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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: 0226169901
Format: PDF, ePub, Docs
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"Over 15 chapters, Dunaway transforms what we know about icons and events. Seeing Green is the first history of ads, films, political posters, and magazine photography in the postwar American environmental movement. From fear of radioactive fallout during the Cold War to anxieties about global warming today, images have helped to produce what Dunaway calls "ecological citizenship," telling us that "we are all to blame." Dunaway heightens our awareness of how depictions of environmental catastrophes are constructed, manipulated, and fought over"--Publisher info.

Mathematics and Art

Author: Claude Bruter
Publisher: Springer Science & Business Media
ISBN: 3662049090
Format: PDF, Kindle
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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.

Polynomial Root finding and Polynomiography

Author: Bahman Kalantari
Publisher: World Scientific
ISBN: 9812700595
Format: PDF, Kindle
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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.

Math and Art

Author: Sasho Kalajdzievski
Publisher: CRC Press
ISBN: 1584889144
Format: PDF, ePub, Docs
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Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.

The jungles of randomness

Author: Ivars Peterson
Publisher: Wiley
ISBN:
Format: PDF, ePub, Docs
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Examines the concept of randomness and how it affects everyday life, including games, music, and the combination of atoms