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Mathematica in Action
"Mathematica in Action, 2nd Edition," is designed both as a guide to the extraordinary capabilities of Mathematica as well as a detailed tour of modern mathematics by one of its leading expositors, Stan Wagon. Ideal for teachers, researchers, mathematica enthusiasts. This second edition of the highly sucessful W.H. Freeman version includes an 8 page full color insert and 50% new material all organized around Elementary Topics, Intermediate Applications, and Advanced Projects. In addition, the book uses Mathematica 3.0 throughtout. Mathematica 3.0 notebooks with all the programs and examples discussed in the book are available on the TELOS web site (www.telospub.com). These notebooks contain materials suitable for DOS, Windows, Macintosh and Unix computers. Stan Wagon is well-known in the mathematics (and Mathematica) community as Associate Editor of the "American Mathematical Monthly," a columnist for the "Mathematical Intelligencer" and "Mathematica in Education and Research," author of "The Banach-Tarski Paradox" and "Unsolved Problems in Elementary Geometry and Number Theory (with Victor Klee), as well as winner of the 1987 Lester R. Ford Award for Expository Writing.
The Banach–Tarski Paradox
The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.
The Banach-Tarski Paradox
Asserting that a solid ball may be taken apart into many pieces that can be rearranged to form a ball twice as large as the original, the Banach-Tarski paradox is examined in relationship to measure and group theory, geometry and logic.
The SIAM 100-Digit Challenge
Gives concrete examples of how to justify the validity of every single digit of a numerical answer.
Bicycle Or Unicycle?
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Old and New Unsolved Problems in Plane Geometry and Number Theory
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Mathematical Diamonds
Collection of elementary mathematical problems with solutions. Ideal for students, teachers and general readers.
Buffalo Man
Set in the West of 1846, Buffalo Man is a love story between a young non-Mormon boy and a Mormon girl. Anna Sinclair is only fourteen-years-old when she leaves Nauvoo with her family for the trek west to the Great Salt Lake Valley. Wes Hamlin is a sixteen-year-old non-Mormon who is falsely accused of killing a Mormon. He runs from the law and hitches up with an old cantankerous mountain man, Crocker Sloan, who introduces him to trapping and living with the Lakota Indians. Over the next three years the two youngsters experience numerous adventures as they move west, occasionally meeting and eventually falling in love. Yet, before their love can be realized Wes must establish his innocence and Anna must resist her family's desire for her to enter a polygamist marriage.
Algorithmic Number Theory
An introduction to number theory for beginning graduate students with articles by the leading experts in the field.
Fragments of Infinity
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.
