Math Reading

Measures are the subject of this unusual book, in which Robert Tavernor offers a fascinating account of the various measuring systems human beings have devised over two millennia. Tavernor urges us to look beyond the notion that measuring is strictly a scientific activity, divorced from human concerns. Instead, he sets measures and measuring in cultural context and shows how deeply they are connected to human experience and history.<BR> <BR>The book explores changing attitudes toward measure, focusing on key moments in art, sculpture, architecture, philosophy, and the development of scientific thought. It encompasses the journey of Western civilization from the construction of the Great Pyramid to the first manned flight to the moon. Beginning with a review of early measuring standards that referred to the feet and inches of ideal bodies, the book then tracks how Enlightenment interest in a truly scientific system of measure led to the creation of the metric system. This “rational” approach to measure in turn has inspired artists, architects, writers, and others to seek a balance that takes the human story into account. Tavernor concludes with a discussion of measure in our own time, when space travel presents to humankind a direct encounter with the unfathomable measure of the universe.

$10.95

$17.99

The authors believe that a proper treatment of probability theory requires an adequate background in the theory of finite measures in general spaces. The first part of their book sets out this material in a form that not only provides an introduction for intending specialists in measure theory but also meets the needs of students of probability. The theory of measure and integration is presented for general spaces, with Lebesgue measure and the Lebesgue integral considered as important examples whose special properties are obtained. The introduction to functional analysis which follows covers the material (such as the various notions of convergence) which is relevant to probability theory and also the basic theory of L2-spaces, important in modern physics. The second part of the book is an account of the fundamental theoretical ideas which underlie the applications of probability in statistics and elsewhere, developed from the results obtained in the first part. A large number of examples is included; these form an essential part of the development.

$44.08

A simple introduction to the concept of weight and how it is measured.

$3.50

$10.48

The Mathematics of Measurement is a historical survey of the introduction of mathematics to physics and of the branches of mathematics that were developed specifically for handling measurements, including dimensional analysis, error analysis, and the calculus of quantities. Using an interdisciplinary approach and the insights provided by historical studies, Roche clarifies well-known difficulties in the mathematics of measurement, some of which have plagued scientists for over a century. The book is primarily intended for physicists and scientists from related disciplines such as mathematicians or meteorologists, however, the level and breadth of the treatment should also make it interesting for advanced undergraduates in these fields, as well as for historians and philosophers of science.

$107.23

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The year is 1981, and in the computer lab of a large university a group of graduate students and their professor are hard at work on their mainframe, graphically modeling an imaginary two-dimensional world. The project is going well, extraordinarily well, when one student suddenly notices that the world they are building with their graphics program is . . . inhabited! <P>So begins A.K. DewdneyÕs newly republished 1984 tale of trans-dimensional discovery and communication. The students and their professor find, to their astonishment, that they are communicating with Yendred, their only contact in the 2D world of Arde. At first disbelieving, they are soon entranced by a universe in which astonishing tiny creaturesÑindeed an entire astonishing worldÑexist solely on an x-y plane.

This book, following in the footsteps Edward AbbotÕs nineteenth century classic Flatland, is a cult favorite among mathematicians and computer scientists. As a kind of mental puzzle or brain-teaser, it challenges and delights, inviting readers to imagine just how a two-dimensional world might work. But the book is also a parable, serving as a cautionary tale about the difficulties of communication from one totally alien world to another, and suggesting that it is not only two-dimensional Ardeans who fail to see beyond the the obvious world before their eyes.

$32.98

$2.48

5.0 (2 ratings)

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$12.00

$3.00

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