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 : 29. 30 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 : 40. 9 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 : 64. 9 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 : 79. 75 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.

The Puzzle Instinct

Author : Marcel Danesi
ISBN : 0253217083
Genre : Games
File Size : 46. 94 MB
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"Humans are the only animals who create and solve puzzles—for the sheer pleasure of it—and there is no obvious genetic reason why we would do this. Marcel Danesi explores the psychology of puzzles and puzzling, with scores of classic examples. His pioneering book is both entertaining and enlightening." —Will Shortz, Crossword Editor, The New York Times "... Puzzle fanatics will enjoy the many riddles, illusions, cryptograms and other mind-benders offered for analysis." —Psychology Today "... a bristlingly clear... always intriguing survey of the history and rationale of puzzles.... [A] splendid study...." —Knight Ridder Newspapers

Landscape Of The Mind

Author : John F. Hoffecker
ISBN : 9780231518482
Genre : Social Science
File Size : 62. 37 MB
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John F. Hoffecker explores the origin and growth of the mind, drawing on information from the human fossil record, archaeology, and history. Hoffecker argues that, as an indirect result of bipedal locomotion, early humans developed a feedback relationship among their hands, brains, and tools, evolving the capacity to externalize thoughts in the form of shaped stone objects. When anatomically modern humans evolved a parallel capacity to externalize thought as symbolic language, individual brains within social groups were integrated into a neocortical internet, or super-brain, thus giving birth to the mind. Noting that archaeological traces of symbolism coincide with evidence for the ability to generate novel technology, Hoffecker contends that human creativity, as well as higher-order consciousness, is a product of the collective super-brain. Hoffecker 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 developed alternative realities via toolmaking, tool use, and artistic expression. Hoffecker connects the rise of civilization to a hierarchical reorganization of the super-brain, triggered by explosive population growth. According to him, subsequent history reflects the varying degrees to which rigid hierarchies of states and empires suppressed the creative powers of the mind, constraining the further accumulation of knowledge. The modern world emerged from the fragments of a collapsed empire after 1200 AD. In the final chapter, Hoffecker speculates on the possibility of artificial intelligence and a mind without biology.

Library Journal

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ISBN : IND:30000070269174
Genre : Libraries
File Size : 54. 47 MB
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Choice Books For College Libraries

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ISBN : UOM:39015079402320
Genre : Best books
File Size : 68. 10 MB
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Mathematical Reviews

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ISBN : UVA:X006088869
Genre : Mathematics
File Size : 57. 46 MB
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Discover

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ISBN : UOM:39015078443754
Genre : Science
File Size : 57. 5 MB
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