Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

"The object of this work as declared in the title page, is to elicit inquiry into, or reexamination of certain matters which the world at large now receive implicitly, at the hands of others, as scientific truths; but which, perhaps, upon a more rigid and scrupulous examination, divested of a too easy faith in matters purely scientific, may be found to be but popular errors, which should be eradicated for the benefit of physical science; and should the fact be disclosed that many matters which are now almost universally esteemed sublime scientific truths, are but dark and occult errors, the inquiry will naturally suggest itself, whether it may not have been found necessary to clothe them in a mathematical dress so wholly incomprehensible to the mass of mankind, as to make it a hopeless task from want of leisure and other facilities, to investigate the truth or falsehood promulgated by the learned through the medium of what is so triumphantly termed the higher branches of mathematics; and hence, whether mankind in general, have not been compelled to remain ignorant of those supposed physical truths, except by a confidential faith in those who profess to teach those things. And should my labors in anywise serve to induce the learned to stoop a little more to the necessities of the multitude, who lack leisure and opportunity to acquaint themselves with all the modern devices of mathematical science, my object will be fully accomplished"--Introduction. (PsycINFO Database Record (c) 2009 APA, all rights reserved).

Circle-squaring. --- Solar system

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry --- Mathematics --- Circle-squaring --- Géometrie --- Mathématiques --- Quadrature du cercle --- Early works to 1800 --- Philosophy --- Ouvrages avant 1800 --- Philosophie --- Géometrie --- Mathématiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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”). his 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.

Mathematics. --- Computer mathematics. --- History. --- Number theory. --- Computational Mathematics and Numerical Analysis. --- Number Theory. --- History of Mathematical Sciences. --- Pi. --- Transcendental numbers --- Circle-squaring --- Computer science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Number study --- Numbers, Theory of --- Algebra --- Mathematics --- Annals --- Auxiliary sciences of history --- Math --- Science