a history of the circle mathematical reasoning and the physical universe

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A History Of The Circle

Author : Ernest Zebrowski
ISBN : 0813528984
Genre : Mathematics
File Size : 20. 61 MB
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Ranging from ancient times to twentieth-century theories of time and space, looks at how exploring the circle has lead to increased knowledge about the physical universe.

Geometry

Author : Harold R. Jacobs
ISBN : 0716743612
Genre : Mathematics
File Size : 33. 70 MB
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Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Pi The Next Generation

Author : David H. Bailey
ISBN : 9783319323770
Genre : Mathematics
File Size : 87. 99 MB
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This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.

Playing For Keeps In Stocks Futures

Author : Tom Bierovic
ISBN : 0471145475
Genre : Business & Economics
File Size : 23. 82 MB
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Tom Bierovic details his newly developed trading strategies-First Prize, R2D2, and Triple Play-and shows you how to integrate them with various technical indicators and analytical techniques to create low-risk, high-reward trading opportunities. Bierovic clearly explains the development of each system, lists the rules, and provides real-world examples from a wide variety of stocks and futures in several timeframes to illustrate how and why each strategy works so well.

Measure For Measure

Author : Alex Hebra
ISBN : 0801870720
Genre : Mathematics
File Size : 63. 24 MB
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The author serves up a delightfully entertaining survey of the U.S. standards for measurement, sizing them up alongside the metric system, which the country officially adopted in 1983 but never properly implemented. (Science & Mathematics)

Landscape Of The Mind

Author : John F. Hoffecker
ISBN : 9780231518482
Genre : Social Science
File Size : 23. 61 MB
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In Landscape of the Mind, John F. Hoffecker explores the origin and growth of the human mind, drawing on archaeology, history, and the fossil record. He suggests that, as an indirect result of bipedal locomotion, early humans developed a feedback relationship among their hands, brains, and tools that evolved into the capacity to externalize thoughts in the form of shaped stone objects. When anatomically modern humans evolved a parallel capacity to externalize thoughts as symbolic language, individual brains within social groups became integrated into a "neocortical Internet," or super-brain, giving birth to the mind. Noting that archaeological traces of symbolism coincide with evidence of the ability to generate novel technology, Hoffecker contends that human creativity, as well as higher order consciousness, is a product of the superbrain. He equates the subsequent growth of the mind with human history, which began in Africa more than 50,000 years ago. As anatomically modern humans spread across the globe, adapting to a variety of climates and habitats, they redesigned themselves technologically and created alternative realities through tools, language, and art. Hoffecker connects the rise of civilization to a hierarchical reorganization of the super-brain, triggered by explosive population growth. Subsequent human history reflects to varying degrees the suppression of the mind's creative powers by the rigid hierarchies of nationstates and empires, constraining the further accumulation of knowledge. The modern world emerged after 1200 from the fragments of the Roman Empire, whose collapse had eliminated a central authority that could thwart innovation. Hoffecker concludes with speculation about the possibility of artificial intelligence and the consequences of a mind liberated from its organic antecedents to exist in an independent, nonbiological form.

Library Journal

Author :
ISBN : IND:30000070269174
Genre : Libraries
File Size : 41. 53 MB
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Choice

Author :
ISBN : UCSC:32106015639989
Genre : Best books
File Size : 85. 47 MB
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Mathematical Reviews

Author :
ISBN : UVA:X006088869
Genre : Mathematics
File Size : 26. 57 MB
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Poetry Of The Universe

Author : Robert Osserman
ISBN : 9780307790583
Genre : Science
File Size : 47. 3 MB
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In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.

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