"A wealth of intriguing and lovely ideas." -- Information Technology & Learning.
While the beauty of mathematics is often discussed, the aesthetic appeal of the discipline is seldom demonstrated as clearly as in this intriguing journey into the realms where art and mathematics merge. Aimed at a wide range of ages and abilities, this engrossing book explores the possibilities of mathematical drawing through compass constructions and computer graphics.
Compass construction is an extremely ancient art, requiring no special skills other than the care it takes to place a compass point accurately. For the computer graphics part of the present work, however, readers will need some familiarity with basic high school mathematics-mainly algebra and trigonometry. Still, much of the book can be enjoyed even by "mathophobes," for it is about lines and circles and how to put them together to make various patterns, both abstract and natural.
One hundred and six full-page drawings, ranging from totally abstract to somewhat pictorial, demonstrate the possibilities of mathematical drawing and serve as inspiration to readers to carry out their own creative investigations. Among the illustrations are such intriguing configurationsas a five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, Durer's pentagons, pentasnow, turtle geometry, and many more. In guiding students toward the comprehension and creation of such figures, the author explains helpful basic principles (of number, length and angle) as well as reviewing relevant fundamentals of trigonometry. In addition, he has provided numerous useful exercises (with answers} at the ends of the chapters, together with recommended further reading, detailed in the bibliography. 211 black-and-white illustrations. Bibliography. Index.
Can you multiply 362 x .5 quickly in your head? Could you readily calculate the square of 41? How much is 635 divided by 21/2? Can 727,648 be evenly divided by 8?
If any of these questions took you more than a few seconds to solve, you need this book. Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts -- timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.
By using the simple foolproof methods in this volume, you can double or triple your calculation speed -- even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.
The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon -- no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.
Students, teachers, businesspeople, accountants, bank tellers, check-out clerks -- anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.
This introduction to the history of science in the seventeenth century examines the so-called 'scientific revolution' in terms of the interplay between two major themes. The Platonic-Pythagorean tradition looked on nature in geometric terms with the conviction that the cosmos was constructed according to the principles of mathematical order, while the mechanical philosophy conceived of nature as a huge machine and sought to explain the hidden mechanisms behind phenomena. Pursuing different goals, these two movements of thought tended to conflict with each other, and more than the obviously mathematical sciences were affected - the influence spread as far as chemistry and the life sciences. As this book demonstrates, the full fruition of the scientific revolution required a resolution of the tension between the two dominant trends.
How did a simple design error cause one of the great disasters of the 1980s - the collapse of the walkways at the Kansas City Hyatt Regency Hotel? What made the graceful and innovative Tacoma Narrows Bridge twist apart in a mild wind in 1940? How did an oversized waterlily inspire the magnificent Crystal Palace, the crowning achievement of Victorian architecture and engineering? These are some of the failures and successes that Henry Petroski, author of the acclaimed The Pencil, examines in this engaging, wonderfully literate book. More than a series of fascinating case studies, To Engineer is Human is a work that looks at our deepest notions of progress and perfection, tracing the fine connection between the quantifiable realm of science and the chaotic realities of everyday life.
In the spring of 1983 Terry Tempest Williams learned that her mother was dying of cancer. That same season, The Great Salt Lake began to rise to record heights, threatening the Bear River Migratory Bird Refuge and the herons, owls, and snowy egrets that Williams, a poet and naturalist, had come to gauge her life by. One event was nature at its most random, the other a by-product of rogue technology: Terry's mother, and Terry herself, had been exposed to the fallout of atomic bomb tests in the 1950s. As it interweaves these narratives of dying and accommodation, Refuge transforms tragedy into a document of renewal and spiritual grace, resulting in a work that has become a classic.
In Criticism, which begins with "A Review of the Reviews" by Gunther Stent, other scientists and scholars reveal their own experiences and views of Watson's story. There are reviews by Philip Morrison, F. X. S., Richard C. Lewontin, Mary Ellmann, Robert L. Sinsheimer, John Lear, Alex Comfort, Jacob Bronowski, Conrad H. Waddington, Robert K. Merton, Peter M. Medawar, and Andr Lwoff; as well as three letters to the editor of Science by Max F. Perutz, M. H. F. Wilkins, and James D. Watson.
This Library of America edition collects for the first time in one volume the four full-length works in which Henry David Thoreau combined his poetic sensibility, classical learning, philosophical austerity, and Yankee love of practical detail into literary masterpieces on humanity's communion with nature.A Week on the Concord and Merrimack Rivers is based on a boat trip Thoreau took with his brother in 1839 from Concord, Massachusetts, to Concord, New Hampshire. Ten years in the writing (it was the book he retired to Walden to work on) and incorporating essays, passages from his journal, and some of his best poems, it is a superbly crafted achievement, its texture enriched by the idealism of the Transcendentalists, the delighted wordplay of an imaginative linguist, the individualism of a young America, and the earthiness of a lover of nature. Walden is a personal declaration of independence, a social experiment, and a voyage of spiritual discovery, set within the seasonal cycle of a year's "Life in the Woods." "Simplify, simplify" is the beat of its "more distant drummer"--to abandon waste and illusion, to get to the bottom of life's essential needs, and to practice a new economy for humane living. Its witty and pointed rhetoric brings together language and nature, the human and nonhuman in unusual conjunctions that resonate with symbolic meanings. A manual of self-reliance as well as a masterpiece of style, it is one of the most fervently loved classics of American literature. The Maine Woods is an account of three trips taken by boat and canoe in 1846, 1853, and 1857 through an unexplored interior bypassed by westward expansion. It describes the virgin rivers and forests of Maine, the customs of woodsmen and Indian guides, the hunting of moose, and the effects of the timber industry and encroaching settlement. An early and eloquent plea for conservation by a farsighted naturalist, its close observation of the American wild becomes an examination of "the motives which carry men into the wilderness." Cape Cod is the bleakest of Thoreau's works, resembling Melville's prose in its vision of the titanic indifference of nature. Cape Cod appears as both ocean and desert, a vast expanse of shipwrecks and barren soil, peopled by hardy, weathered inhabitants who seem survivors from the age of the first Pilgrims. Based upon his own visits and upon accounts from the earliest times, it is an unsentimental study of human endurance in the face of hostile elements, historical change, and natural decay. LIBRARY OF AMERICA is an independent nonprofit cultural organization founded in 1979 to preserve our nation's literary heritage by publishing, and keeping permanently in print, America's best and most significant writing. The Library of America series includes more than 300 volumes to date, authoritative editions that average 1,000 pages in length, feature cloth covers, sewn bindings, and ribbon markers, and are printed on premium acid-free paper that will last for centuries.
This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.