Crocheting Adventures With Hyperbolic Planes

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Crocheting Adventures with Hyperbolic Planes

Daina Taimina
Crocheting Adventures with Hyperbolic Planes Book PDF

Author : Daina Taimina
Publisher : CRC Press
Page : 865 pages
File Size : 47,9 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9781351402194

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Crocheting Adventures with Hyperbolic Planes by Daina Taimina Pdf

Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

Making Mathematics with Needlework

sarah-marie belcastro,Carolyn Yackel
Making Mathematics with Needlework Book PDF

Author : sarah-marie belcastro,Carolyn Yackel
Publisher : CRC Press
Page : 200 pages
File Size : 50,8 Mb
Release : 2007-12-12
Category : Mathematics
ISBN : 9781439865132

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Making Mathematics with Needlework by sarah-marie belcastro,Carolyn Yackel Pdf

Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions.

Crocheting Adventures with Hyperbolic Planes

Daina Taimina
Crocheting Adventures with Hyperbolic Planes Book PDF

Author : Daina Taimina
Publisher : A K Peters/CRC Press
Page : 0 pages
File Size : 55,7 Mb
Release : 2009-02-23
Category : Mathematics
ISBN : 1568814526

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Crocheting Adventures with Hyperbolic Planes by Daina Taimina Pdf

Winner of the Euler Book Prize -- Awarded by the Mathematical Association of America With more than 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. From the Foreword by William Thurston: "These models have a fascination far beyond their visual appearance. As illustrated in the book, there is actually negative curvature and hyperbolic geometry all around us, but people generally see it without seeing it. You will develop an entirely new understanding by actually following the simple instructions and crocheting! The models are deceptively interesting. Perhaps you will come up with your own variations and ideas. In any case, I hope this book gives you pause for thought and changes your way of thinking about mathematics."

Crafting by Concepts

sarah-marie belcastro,Carolyn Yackel
Crafting by Concepts Book PDF

Author : sarah-marie belcastro,Carolyn Yackel
Publisher : CRC Press
Page : 264 pages
File Size : 41,5 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439867686

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Crafting by Concepts by sarah-marie belcastro,Carolyn Yackel Pdf

From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

Crochet Coral Reef

Margaret Wertheim,Christine Wertheim
Crochet Coral Reef Book PDF

Author : Margaret Wertheim,Christine Wertheim
Publisher : Unknown
Page : 0 pages
File Size : 53,8 Mb
Release : 2015
Category : Art, Modern
ISBN : 0977962237

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Crochet Coral Reef by Margaret Wertheim,Christine Wertheim Pdf

Now perhaps the world's largest participatory art and science project, the Crochet Coral Reef combines mathematics, marine biology, environmental consciousness-raising and community art practice. Almost 8,000 people around the world have contributed to making an ever-evolving archipelago of giant woolen seascapes, which have been exhibited at the Hayward Gallery, the Smithsonian and many other venues. This fully illustrated book, written by the project's creators--Margaret and Christine Wertheim of the Institute For Figuring--brings together the scientific and mathematical content behind the project, along with essays about the artistic and cultural resonances of this unique experiment in radical craft practice. With a wealth of color illustrations, the book serves as a record of the 30-plus Crochet Reefs worldwide and names all 7,000-plus contributors in a specially designed section.

Crafting Conundrums

Ellie Baker,Susan Goldstine
Crafting Conundrums Book PDF

Author : Ellie Baker,Susan Goldstine
Publisher : CRC Press
Page : 272 pages
File Size : 51,5 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781466588493

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Crafting Conundrums by Ellie Baker,Susan Goldstine Pdf

Designed for crafters, puzzle lovers, and pattern designers alike, Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist provides methods, challenges, and patterns that offer a springboard for creative exploration. All are illustrated with beautiful color diagrams and photographs. Experienced bead crochet crafters looking for a project may choose to skip ahead to the pattern pages and begin crocheting from an abundance of unique, mathematically inspired designs. Those wishing to design their own patterns will find many useful tools, template patterns, and a new methodology for understanding how to do so even without using math. Puzzle lovers without previous knowledge of bead crochet will also find ample inspiration for learning the craft. The first part of the book describes the basic requirements and constraints of a bead crochet pattern and explains what makes designing in this medium so tricky. The authors present their new design framework and offer insight on how best to approach design choices and issues unique to bead crochet. The second part presents a series of bead crochet design challenges informed by colorful bits of mathematics, including topology, graph theory, knot theory, tessellations, and wallpaper groups. Each chapter in this section begins with a design puzzle accompanied by an introduction to the mathematical idea that inspired it. The authors then discuss what made the challenge difficult, present some of their solutions, and describe the thinking and ideas behind their approach. The final part contains nearly 100 original bead crochet patterns, including solutions to all the design challenges. This part also provides a tutorial on the fundamentals of bead crochet technique. Behind the deceptively simple and uniform arrangement of beads is a subtle geometry that produces compelling design challenges and fascinating mathematical structures. In color throughout, Crafting Conundrums gives both math enthusiasts and crafters an innovative approach to creating bead crochet patterns while addressing a variety of mathematically inspired design questions. Supplementary materials, including demo videos, are available on the book’s CRC Press web page.

A Field Guide to Hyperbolic Space

Margaret Wertheim
A Field Guide to Hyperbolic Space Book PDF

Author : Margaret Wertheim
Publisher : Unknown
Page : 97 pages
File Size : 51,6 Mb
Release : 2007
Category : Geometrical models
ISBN : OCLC:811138813

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A Field Guide to Hyperbolic Space by Margaret Wertheim Pdf

Although the properties of hyperbolic space were known for 200 years, it was only in 1997 that mathematician Daina Taimina worked out how to make physical models of it. The method she used was crochet. In this book, Margaret Wertheim presents a brief history of hyperbolic space in mathematics and nature, and offers a "field guide" to its crocheted manifestations.

Topics in Ergodic Theory (PMS-44), Volume 44

Iakov Grigorevich Sinai
Topics in Ergodic Theory PMS 44 Volume 44 Book PDF

Author : Iakov Grigorevich Sinai
Publisher : Princeton University Press
Page : 226 pages
File Size : 49,6 Mb
Release : 2017-03-14
Category : Mathematics
ISBN : 9781400887255

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Topics in Ergodic Theory (PMS-44), Volume 44 by Iakov Grigorevich Sinai Pdf

This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Experiencing Geometry

David Wilson Henderson,Daina Taimin̦a
Experiencing Geometry Book PDF

Author : David Wilson Henderson,Daina Taimin̦a
Publisher : Prentice Hall
Page : 438 pages
File Size : 49,9 Mb
Release : 2005
Category : Mathematics
ISBN : STANFORD:36105114443091

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Experiencing Geometry by David Wilson Henderson,Daina Taimin̦a Pdf

The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Math and Art

Sasho Kalajdzievski
Math and Art Book PDF

Author : Sasho Kalajdzievski
Publisher : CRC Press
Page : 282 pages
File Size : 42,7 Mb
Release : 2011-04-28
Category : Mathematics
ISBN : 9781584889144

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Math and Art by Sasho Kalajdzievski Pdf

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 downloadable resources 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.

Perfect Rigour

Masha Gessen
Perfect Rigour Book PDF

Author : Masha Gessen
Publisher : Icon Books Ltd
Page : 119 pages
File Size : 55,8 Mb
Release : 2011-03-03
Category : Biography & Autobiography
ISBN : 9781848313095

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Perfect Rigour by Masha Gessen Pdf

In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.

Figuring Fibers

Carolyn Yackel,sarah-marie belcastro
Figuring Fibers Book PDF

Author : Carolyn Yackel,sarah-marie belcastro
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 43,7 Mb
Release : 2018-10-31
Category : Fiberwork
ISBN : 9781470429317

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Figuring Fibers by Carolyn Yackel,sarah-marie belcastro Pdf

Pick up this book and dive into one of eight chapters relating mathematics to fiber arts! Amazing exposition transports any interested person on a mathematical exploration that is rigorous enough to capture the hearts of mathematicians. The zenith of creativity is achieved as readers are led to knit, crochet, quilt, or sew a project specifically designed to illuminate the mathematics through its physical realization. The beautiful finished pieces provide a visual understanding of the mathematics that can be shared with those who view them. If you love mathematics or fiber arts, this book is for you!

Mind Tools

Rudy Rucker
Mind Tools Book PDF

Author : Rudy Rucker
Publisher : Courier Corporation
Page : 337 pages
File Size : 41,5 Mb
Release : 2013-11-21
Category : Computers
ISBN : 9780486492285

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Mind Tools by Rudy Rucker Pdf

Originally published: Boston: Houghton Mifflin, 1987.

Liquid Fire

Anthony Francis
Liquid Fire Book PDF

Author : Anthony Francis
Publisher : Bell Bridge Books
Page : 466 pages
File Size : 47,6 Mb
Release : 2015-05-22
Category : Fiction
ISBN : 9781611946451

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Liquid Fire by Anthony Francis Pdf

"Thank you to the powers-that-be for the opportunity to be one of the first readers captivated by Dakota Frost and her magical tats. Addictive, sassy, sexy, funny, intense, brilliant." --Bitten By Books, on Frost Moon "With Blood Rock, Anthony Francis's Skindancer series becomes one of my favorites."--Book'd Out, on Blood Rock Magical tattoo artist Dakota Frost is back--fighting a fire that may burn down the world. For millennia, ancient factions of wizards have closely guarded the secrets of liquid fire--distilled from the blood of dragons and the magical key to unbelievably powerful spells. Now, Dakota's flirtation with a fireweaver while visiting San Francisco engulfs her in a magicial feud. Forced to defend herself with her masterwork, a powerful dragon tattoo, Dakota becomes the target of superstitious magicians who believe she's summoned the spirit of a dragon . . . the first step in an incredibly dangerous spell that could create more liquid fire. Soon, Dakota finds herself caught in a magical battle between ageless wizards desperate to seize the rapidly dwindling supply of liquid fire and fireweaver terrorists who'll stop at nothing to keep every last drop of it for themselves. Even if that means killing Dakota. The race is on to find the truth about liquid fire, the secret behind Dakota's magic tattoos, and the message hidden in the fireweaver's secret codes--before the world goes up in flames. Filled with spectacular magic, pyrotechnic action, and kinky romance, LIQUID FIRE is the action-packed third installment in the Dakota Frost, Skindancer series. Epic Award winner Anthony Francis writes the Skindancer series while working on robots for "the Search Engine Which Starts with a 'G'."

The Theory That Would Not Die

Sharon Bertsch McGrayne
The Theory That Would Not Die Book PDF

Author : Sharon Bertsch McGrayne
Publisher : Yale University Press
Page : 336 pages
File Size : 53,5 Mb
Release : 2011-05-17
Category : Mathematics
ISBN : 9780300175097

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The Theory That Would Not Die by Sharon Bertsch McGrayne Pdf

"This account of how a once reviled theory, Baye’s rule, came to underpin modern life is both approachable and engrossing" (Sunday Times). A New York Times Book Review Editors’ Choice Bayes' rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok. In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the generations-long human drama surrounding it. McGrayne traces the rule’s discovery by an 18th century amateur mathematician through its development by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—while practitioners relied on it to solve crises involving great uncertainty and scanty information, such as Alan Turing's work breaking Germany's Enigma code during World War II. McGrayne also explains how the advent of computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security. Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.