Fragments of Infinity


Book Description

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.




How to Make Repeat Patterns


Book Description

This book explains, in simple steps and non-mathematical terminology, how to create repeat patterns in a line, on the plane, as tiles, and as Escher-like repeats. The book also shows how to make 'wallpaper repeats', where the elements of the pattern merge into each other, apparently seamlessly. Using letters as the basic elements, the book demonstrates how all repeat pattern-making comes out of four simple operations: translation, rotation, reflection, and glide reflection. It will provide the definitive one-stop pattern-making resource for professional designers and students across disciplines, from textiles and fashion to graphic design and architecture.




Infinite Powers


Book Description

This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.




The Joy of X


Book Description

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."




Computer Systems


Book Description

Computer Science




Computer Systems


Book Description

Completely revised and updated, Computer Systems, Fourth Edition offers a clear, detailed, step-by-step introduction to the central concepts in computer organization, assembly language, and computer architecture. Important Notice: The digital edition of this book is missing some of the images or content found in the physical edition.




Explore Walking Foot Quilting with Leah Day


Book Description

Ready for a machine quilting adventure? It's time to explore walking foot machine quilting with Leah Day! Specifically designed for quilting on a home machine, this style uses a walking foot to evenly feed the layers of your quilt to produce beautiful quilting stitches. Learn how to quilt thirty designs in seven quilt projects.




Secrets of Infinity


Book Description

Secrets of Infinity examines infinity as it has been studied since antiquity, beginning with the classical figures from Greece and Rome. In an entertaining and practical way, readers will discover that infinity is not limited to the mathematical concept as represented by the symbol nor its metaphysical concept as the indefinable concept of eternity, but in fact, it resides in a variety of disciplines, a multitude of contexts and has a far-reaching influence on human existence. Secrets of Infinity organizes the 150 articles into six subject areas: Science: Henrietta Lacks -- Her death in 1951 from uterine cancer at the age 31 did not end her existence. Her doctor took a tissue sample from the tumor and developed the first continuous culture of human cells and thus the first immortal cell line in history, known as HeLa. Mathematics: Googol -- Edward Kasner (1878-1955) devised the googol to show how huge infinity is through a number so large that it is unimaginable but still not even close to infinity. Technology: TA-65 -- Recently, researchers at Sierra Sciences discovered the TA-65, which could be the chromosomal catalyst to stopping, slowing or even reversing the aging process, bringing us closer to the myth of eternal youth. Art: The Endless Stairs of the Vatican -- Little did the Vatican Museums know in 1932, when the stairs were built, that this formation could represent life itself, with the discovery of the DNA double helix chain in 1953. Philosophy: René Descartes, the Infinite and God -- According to Descartes, the idea of infinity has been imposed by a nature that is higher than human, and can only come from this nature being infinite, so he interprets that the existence of infinity confirms the existence of God. Symbology: The Labyrinth -- A labyrinth is a route made up of streets and crossroads with an ingenious and complex structure whose design variations are endless, especially in the case of the rhizome labyrinth, which has infinite ramifications. Engaging and free of jargon, Secrets of Infinity helps to demystify the elusive infinity and bring it closer to modern concepts and understanding. Thinking readers and students will find enjoyment and insight on its pages.




Discovering Patterns in Mathematics and Poetry


Book Description

You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry -- bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression? The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries.Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery.




Infinity and the Mind


Book Description

The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."