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 (4.0 / 5.0) This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.
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$229.72 |
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 (4.5 / 5.0) Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
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$5.00 |
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(4.5 / 5.0) Providing a comprehensive introduction to modern auction theory and its important new applications, this book is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the volume provides the most up-to-date analysis of traditional theories of "optimal auctions" as well as newer theories of multi-unit auctions and package auctions, and shows by example how these theories are used. It explores the limitations of prominent older designs, such as the Vickrey auction design, and evaluates the practical responses to those limitations. Paul Milgrom is the Leonard and Shirley Ely Professor of Humanities and Sciences and Professor of Economics, Stanford University. He is the author of more than sixty articles and co-author of the influential textbook, Economics, Organization and Management (Prentice Hall, 1992). Professor Milgrom is a pioneer in the economic theory of auctions and co-designer of the simultaneous, multiple round auction that the FCC adopted for selling radio spectrum licenses.
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$19.99 |
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 (5.0 / 5.0) A Kaliedocycle is a three-dimensional ring made from a chain of solid figures enclosed or bonded by four triangles. These kaleidocycles are adaptations of Escher's two-dimensional images of fish, angels, flowers, people, etc., transformed into uniform, interlocking, three-dimensional objects whose patters wrap endlessly. Kaleidocycles contains a 48-page book with over 80 reproductions and diagrams, assembly instructions, and a fascinating discussion of the geometric principles and artistic challenges underlying Escher's designs and their transformation to three-dimensional models; and seventeen die-cut, scored, three-dimensional models (11 kaleidocycles and 6 geometric solids) Cigar box-style packaging, size: 9 1/2 x 12 1/4 x 1 1/2".
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$19.81 |
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(4.0 / 5.0) Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, calculus, the theory of the infinite, statistical reasoning and chaos theory.
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$4.99 |
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(4.0 / 5.0) * The classic study of the cosmological principles found in the patterns of Islamic art and how they relate to sacred geometry and the perennial philosophy. * 150 color and black-and-white drawings of Islamic patterns. * Explains how these patterns guide the mind from the mundane world of appearances to its underlying reality.
For centuries the nature and meaning of Islamic art has been wrongly regarded in the West as mere decoration. In truth, because the portrayal of human and animal forms has always been discouraged on Islamic religious principles that forbid idolatry, the abstract art of Islam represents the sophisticated development of a nonnaturalistic tradition. Through this tradition, Islamic art has maintained its chief aim: the affirmation of unity as expressed in diversity. In this fascinating study the author explores the idea that unlike medieval Christian art, in which the polarization of such forms and patterns was relegated to a background against which to set sacred images, the geometrical patterns of Islamic art can reveal the intrinsic cosmological laws affecting all creation. Their primary function is to guide the mind from the mundane world of appearances toward its underlying reality. Numerous drawings connect the art of Islam to the Pythagorean science of mathematics, and through these images we can see how an Earth-centered view of the cosmos provides renewed significance to those number patterns produced by the orbits of the planets. The author shows the essential philosophical and practical basis of every art creation--whether a tile, carpet, or wall--and how this use of mathematical tessellations affirms the essential unity of all things. An invaluable study for all those interested in sacred art, Islamic Patterns is also a rich source of inspiration for artists and designers.
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$18.01 |
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Originally published in 1969 as NCTM's Thirty-first Yearbook, this updated edition contains a new chapter that discusses contemporary mathematics. The original chapters provide the why and the how of using the history of mathematics in the contemporary classroom, along with historical overviews and more detailed capsules on such topics as numbers and numerals, computation, geometry,and algebra.
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$23.90 |
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(4.0 / 5.0) A million pages of new World War II codebreaking records have been released by the U.S. Army and Navy and the British government over the last five years. Now, Battle of Wits presents the history of the war that these documents reveal. From the Battle of Midway until the last German code was broken in January 1945, this is an astonishing epic of a war that was won not simply by brute strength but also by reading the enemy's intentions. The revelations of Stephen Budiansky's dramatic history include how Britain tried to manipulate the American codebreakers and monopolize German Enigma code communications; the first detailed published explanations of how the Japanese codes were broken; and how the American codebreaking machines worked to crack the Japanese, the German, and even the Russian diplomatic codes. This is the story of the Allied codebreakers puzzling through the most difficult codebreaking problems that ever existed. At the same time, the compelling narrative shows the crucial effect codebreaking had on the battlefields by explaining the urgency of stopping the wolf pack U-boat attacks in the North Atlantic, the burning desire in the United States to turn the tide of the war after Pearl Harbor, the importance of halting Rommel's tanks in North Africa, and the necessity of ensuring that the Germans believed the Allies' audacious deception and cover plans for D-Day. Budiansky brings to life the unsung codebreaking heroes of this secret war: Joseph J. Rochefort, an intense and driven naval officer who ran the codebreaking operation in "The Dungeon," a dank basement at Pearl Harbor, that effectively won the Battle of Midway; Alan Turing, the eccentric father of the computer age, whose brilliant electromechanical calculators broke the German Enigma machine; and Ian Fleming, whose daredevil espionage schemes to recover codebooks resembled the plots of the 007 novels he later wrote. Among the villains, we meet the Nazi Admiral Donitz, who led the submarine wolf packs against Allied shipping in the North Atlantic with horrific casualty rates?until the codebreakers stopped him. Budiansky, a Harvard -- trained mathematician, demonstrates the mathematical insight and creativity of the cryptographers by showing step-by-step precisely how the codes were broken. This technology -- the flow of information, its encryption, and the computational methods of recovering it from the enemy -- had never before been so important to the outcome of a war. Informative diagrams, maps, appendices, and photographs show exactly how, why, and where the secret war was won. Unveiled for the first time, the complete story of codebreaking in World War II has now been told.
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$19.95 |
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(4.5 / 5.0) The writings of Newton, Liebniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises, articles from the Renaissance to end of the 19th century—most unavailable elsewhere. Grouped in five sections: Number; Algebra; Geometry; Probability; and Calculus, Functions, and Quaternions. Index. 83 illustrations.
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$16.01 |
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(4.5 / 5.0) "If you want to encourage anyone's interest in math, get themThe Mathematical Universe...it is enchanting to read. "––New Scientist
"A fascinating collection of essays that touch every facet of the history of mathematics, this is sure to be one of the largest of the crown jewels of popular mathematics."––Journal of Recreational Mathematics Now in paper! This engaging excursion from the acclaimed author of Journey Through Genius offers a rare profile of the great proofs, conundrums, disputes, and solutions that have shaped the world of mathematics. Alphabetically arranged from Arithmetic to Zero, this tour chances upon everything from the antics of the battling Bernoulli brothers to the wonders of Fibonacci series to the quandry of Russell's Paradox.
WILLIAM DUNHAM, PhD, (Allentown, Pennsylvania) teaches math at Muhlenberg College. He is the author of Journey Through Genius (Wiley).
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$11.90 |