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Beyond Reasonby A. K. Dewdney
John Wiley & Sons, Inc. 2004; US$ 27.95A mind-bending excursion to the limits of science and mathematics Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the centuries, from ancient mathematical conundrums such as "squaring the circle," first attempted by the Pythagoreans, to G?del's vexing theorem, from perpetual motion to the upredictable behavior of chaotic systems such as the weather. A. K. Dewdney, PhD (Ontario, Canada), was the author of Scientific American's "Computer Recreations" column for eight years. He has written several critically acclaimed popular math and science books,... more...
The Non-Local Universeby Robert Nadeau; Menas Kafatos
Oxford University Press, USA 2001; US$ 15.00Classical physics states that physical reality is local, or that a measurement at one point in space cannot cannot influence what occurs at another beyond a fairly short distance. Until recently this seemed like an immutable truth in nature. However, in 1997 experiments were conducted in which light particles (photons) originated under certain conditions and traveled in opposite directions to detectors located about seven miles apart. The amazing results indicated that the photons "interacted" or "communicated" with one another instantly or "in no time," leading to the revelation that physical reality is non-local--a discovery that Robert Nadeau and Menas Kafatos view as "the most momentous in the history... more...
An Imaginary Taleby Paul J. Nahin
Princeton University Press 2010; US$ 16.95Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale , Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i . He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of... more...
Infinityby Michael Heller; W. Hugh Woodin
Cambridge University Press 2011; US$ 79.00A dozen world-renowned researchers explore the concept of infinity through the prism of mathematics and beyond. more...
Trigonometric Delightsby Eli Maor
Princeton University Press 2011; US$ 28.95Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to... more...
The Joy of Mathematicsby Theoni Pappas
Wide World Publishing, Tetra 1993; US$ 10.95Part of the joy of mathematics is that it is everywhere-in soap bubbles, electricity, da Vinci's masterpieces, even in an ocean wave. Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the "real" world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century. THE JOY OF MATHEMATICS is designed to be opened at random it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best. more...
Japanese Numbers Gameby T Crump
Routledge 1992; US$ 195.00The Japanese Numbers Game provides a general study of the whole field of Japanese popular numeracy. It introduces the reader to a world of numbers in which fortune-telling, the abacus, games involving numbers as well as curious numerical names (of both people and places) illustrate a popular obsession with systems of counting, calculation and forecasting. more...
Frank Ramseyby Jé Dokic; rô; me; Pascal Engel
Routledge 2002; US$ 44.95Despite his tragic death at the age of 26, Frank Ramsey (1903 - 1930) remains one of the most intriguing minds of the twentieth century. His thought had a profound influence on both Ludwig Wittgenstein and Bertrand Russell, and many strands of contemporary analytic philosophy find their origin in Ramsey's ideas. Frank Ramsey: Truth and Success provides a much-needed introduction to the work of this undervalued thinker, and makes an important and profound contribution to our understanding of Ramsey's work and his place in twentieth century philosophy. It will be of interest to all students of logic, metaphysics and the history of philosophy. more...
Infiniteby A. W. Moore
Routledge 1991; US$ 26.95An historical study of the infinite, covering all its aspects, from the mathematical to the mystical. Moore discusses not only Aristotle and Zeno, but also Cantor, Gödel and Wittgenstein, and examines God, mortality and human finitude. more...
Constructing Mathematical Knowledgeby Paul Ernest
RoutledgeFalmer 1996; US$ 57.95Provides perspectives on the learning of mathematics and epistemology. The book explores constructivist and social theories of learning, and discusses the role of the computer in the light of these theories. more...









