Ivars Peterson

A guide to mathematics covers such topics as mathematical proofs, fractals, chaos, prime numbers, four-dimensional geometry, and quasicrystals.

New and Updated Snapshots of Modern Mathematics

The Mathematical Tourist

Collected articles on mathematics from the popular Math treks column; extra web support available.

From Surreal Numbers to Magic Circles

Mathematical Treks

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.

A Kaleidoscope of Math and Art

Fragments of Infinity

Nancy Henderson

There s a new amusement park in town. Come on in and find out allthe exciting ways you can have fun with math in everyday life.Wander through the fractal forest, take a ride on the M?obius-striproller coaster, and get dizzy learning about how math makes theTilt-A-Whirl possible. The more activities you try, the more you lllearn how cool it can be to see the world through the eyes of amathematician. Once you ve sampled some of the interesting and unique projects inMath Trek, from untangling unknots to winning games with weird diceto figuring out secret codes, you ll see that every trip to theMathZone is an exciting adventure!

Adventures in the Math Zone

Math Trek

Mathematical Treks: From Surreal Numbers to Magic Circles

With his critically acclaimed best-sellers The Mathematical Toursist and Islands of Truth, Ivars Peterson took readers to the frontiers of modern mathematics. His new book provides an up-to-date look at one of science's greatest detective stories: the search for order in the workings of the solar system. In the late 1600s, Sir Isaac Newton provided what astronomers had long sought: a seemingly reliable way of calculating planetary orbits and positions. Newton's laws of motion and his coherent, mathematical view of the universe dominated scientific discourse for centuries. At the same time, observers recorded subtle, unexpected movements of the planets and other bodies, suggesting that the solar system is not as placid and predictable as its venerable clockwork image suggests. Today, scientists can go beyond the hand calculations, mathematical tables, and massive observational logs that limited the explorations of Newton, Copernicus, Galileo, Kepler, Tycho Brahe, and others. Using supercomputers to simulate the dynamics of the solar system, modern astronomers are learning more about the motions they observe and uncovering some astonishing examples of chaotic behavior in the heavens. Nonetheless, the long-term stability of the solar system remains a perplexing, unsolved issue, with each step toward its resolution exposing additional uncertainties and deeper mysteries. To show how our view of the solar system has changed from clocklike precision to chaos and complexity, Newton's Clock describes the development of celestial mechanics through the ages--from the star charts of ancient navigators to the seminal discoveries of the 17th centure; from the crucial work of Poincaré to the startling, sometimes controversial findings and theories made possible by modern mathematics and computer simulations. The result makes for entertaining and provocative reading, equal parts science, history, and intellectual adventure.

Chaos In The Solar System

Newton's Clock

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.

A Mathematical Mystery Cruise

Islands of Truth

"Peterson's knowledge of and affection for mathematics comes through with every word."--San Diego Union Tribune. "Peterson is, in short, the math teacher everyone wishes they had in high school."--Publishers Weekly. "Peterson has honed his explanatory skills finely. He is a readable guide through the tangles of probability and random chance. The Jungles of Randomness will give some insight into one of the most fruitful areas where math meets practical living."--Christian Science Monitor. The delightful trek through the exotic and powerful world of randomness. Popular math author Ivars Peterson leads readers on an exciting foray into the wilds of randomness, introducing exciting new discoveries--from hidden rules governing games of chance to how the first molecules of life formed and how random numbers can protect sensitive information on the Internet. Along the way, he charts the ambiguous boundary between order and chaos, revealing the astonishing patterns so often hidden in apparent randomness as well as the startling randomness often embedded in apparent order. Ivars Peterson (Washington, D.C.) is the mathematics and physics editor at Science News and the author of four previous trade books, including The Mathematical Tourist and Islands of Truth: A Mathematical Mystery Cruise.

A Mathematical Safari

The Jungles of Randomness

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.

Evaluating the disastrous potential that is involved with contemporary dependence on computers and software, a carefully researched account identifies technology's weak points and profiles the investigation process. 17,500 first printing. Tour.

Ivars Peterson

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