Pi A Source Book

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
Page : 754 pages
File Size : 41,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475732405

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Pi: A Source Book by Jonathan M. Borwein Pdf

Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.

Author : Lennart Berggren,Jonathan M. Borwein,Peter B. Borwein
Publisher : Unknown
Page : 797 pages
File Size : 44,9 Mb
Release : 2004
Category : Pi
ISBN : OCLC:903862553

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Pi - a Source Book by Lennart Berggren,Jonathan M. Borwein,Peter B. Borwein Pdf

This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein include selections from the mathematical and computational literature over four millennia, a variety of historical studies on the cultural significance of the number, and an assortment of anecdotal, fanciful, and simply amusing pieces. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, new translations of works by Viete and Huygen, as well as Kaplansky's never-before-published 'Song of Pi.'"--Publisher's website

Author : J.L. Berggren,Jonathan Borwein,Peter Borwein
Publisher : Springer
Page : 812 pages
File Size : 41,8 Mb
Release : 2014-01-13
Category : Mathematics
ISBN : 9781475742176

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Pi: A Source Book by J.L. Berggren,Jonathan Borwein,Peter Borwein Pdf

This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.

Author : J. L. Berggren,Jonathan Borwein,Peter Borwein
Publisher : Unknown
Page : 742 pages
File Size : 53,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 1475727372

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Pi by J. L. Berggren,Jonathan Borwein,Peter Borwein Pdf

Author : Henry Marshall Leicester,Herbert S. Klickstein
Publisher : Harvard University Press
Page : 578 pages
File Size : 46,7 Mb
Release : 1952
Category : Science
ISBN : 0674822307

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A Source Book in Chemistry, 1400-1900 by Henry Marshall Leicester,Herbert S. Klickstein Pdf

A collection of important writings in the history of chemistry from 1400-1900, each with an introduction by the editors.

Author : David H. Bailey,Jonathan M. Borwein
Publisher : Springer
Page : 507 pages
File Size : 53,7 Mb
Release : 2016-07-19
Category : Mathematics
ISBN : 9783319323770

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Pi: The Next Generation by David H. Bailey,Jonathan M. Borwein Pdf

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.

Author : Jörg Arndt,Christoph Haenel
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642567353

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Pi - Unleashed by Jörg Arndt,Christoph Haenel Pdf

In the 4,000-year history of research into Pi, results have never been as prolific as present. This book describes, in easy-to-understand language, the latest and most fascinating findings of mathematicians and computer scientists in the field of Pi. Attention is focused on new methods of high-speed computation.

Author : Craig Smorynski
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 42,9 Mb
Release : 2007-12-10
Category : Mathematics
ISBN : 9780387754802

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History of Mathematics by Craig Smorynski Pdf

General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.

Author : Socrates Co.
Publisher : Unknown
Page : 421 pages
File Size : 46,6 Mb
Release : 2020-04-30
Category : Electronic
ISBN : 9798631094345

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One Million Digits of Pi by Socrates Co. Pdf

This book contains 1 million digits of pi on 371 pages (Decimal Places from 1 to 1,000,000) and is the perfect gift for everyone who loves math, especially on Pi day and for birthdays!ESTIMATED NUMBERS PER PAGE: 2714NUMBER OF PAGES: 371 pagesPAPER / TRIM SIZE: 6" x 9" (15,24cm x 22,86 cm)PAPER COLOR: White paperCOVER: Softcover paperback - glossy finishBOOK BINDING: Perfect bound

Author : Ronald Mak
Publisher : Prentice Hall Professional
Page : 482 pages
File Size : 47,6 Mb
Release : 2003
Category : Computers
ISBN : 0130460419

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Java Number Cruncher by Ronald Mak Pdf

Mak introduces Java programmers to numerical computing. This book contains clear, non-theoretical explanations of practical numerical algorithms, including safely summing numbers, finding roots of equations, interpolation and approximation, numerical integration and differentiation, and matrix operations, including solving sets of simultaneous equations.

Author : Elaine DiMasi,Laurie B. Gower
Publisher : CRC Press
Page : 434 pages
File Size : 47,6 Mb
Release : 2014-02-25
Category : Science
ISBN : 9781466518353

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Biomineralization Sourcebook by Elaine DiMasi,Laurie B. Gower Pdf

What does it mean to be at the forefront of a characterization technique? Novel implementation and research, finding new ways to visualize composites, and new techniques all play a role. Yet with the myriad of advances in the field, keeping up with new and advanced techniques, often from many different areas, has become a challenge. Biomineralization Sourcebook: Characterization of Biominerals and Biomimetic Materials emphasizes the interplay between multiple techniques at their current frontiers and explores how such studies may be carried out. The book addresses atomic and molecular structure: how it is described, detected, and assessed for importance. It then highlights additional measurements especially well-suited to looking at two- and three-dimensional systems with heterogeneous, if not hierarchical, structure. These systems enable particular aspects of biominerals and biomimetic models to be scrutinized. The text presents state-of-the-art methods to assess properties of the composite, and represents current approaches and aspirations to measuring entire biological working structures while retaining as much fine-grained biophysical information as possible. In all these chapters, authors showcase discoveries from their own programs. Along the way, the book takes you on a tour from microscopy's eighteenth century roots, to the recent literature and diverse research programs of the contributing investigators, to the multi-million dollar National Laboratory facilities that all play their roles to illuminate the ever-fascinating biominerals. A snapshot of the state of the art in a spectrum of experimental techniques applied to a common interdisciplinary goal, where the ability to use the more advanced techniques often requires funding for collaboration and travel, the book will deepen the appreciation for the massive interdisciplinary effort underway, educate researchers across the field, and motivate new collaborations.

Author : R. Winston Morris,Edward R. Goldstein
Publisher : Unknown
Page : 684 pages
File Size : 49,9 Mb
Release : 1996
Category : Music
ISBN : UOM:39015037694380

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The Tuba Source Book by R. Winston Morris,Edward R. Goldstein Pdf

The chapter entitled "Recommended Basic Repertoire" is subdivided by level, from high school through professional, and "Orchestral Excerpts," in addition to listing 146 works that every tubist should know, includes advice on how to audition.

Author : Derek Molloy
Publisher : John Wiley & Sons
Page : 885 pages
File Size : 47,8 Mb
Release : 2016-06-13
Category : Computers
ISBN : 9781119188698

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Exploring Raspberry Pi by Derek Molloy Pdf

Expand Raspberry Pi capabilities with fundamental engineering principles Exploring Raspberry Pi is the innovators guide to bringing Raspberry Pi to life. This book favors engineering principles over a 'recipe' approach to give you the skills you need to design and build your own projects. You'll understand the fundamental principles in a way that transfers to any type of electronics, electronic modules, or external peripherals, using a "learning by doing" approach that caters to both beginners and experts. The book begins with basic Linux and programming skills, and helps you stock your inventory with common parts and supplies. Next, you'll learn how to make parts work together to achieve the goals of your project, no matter what type of components you use. The companion website provides a full repository that structures all of the code and scripts, along with links to video tutorials and supplementary content that takes you deeper into your project. The Raspberry Pi's most famous feature is its adaptability. It can be used for thousands of electronic applications, and using the Linux OS expands the functionality even more. This book helps you get the most from your Raspberry Pi, but it also gives you the fundamental engineering skills you need to incorporate any electronics into any project. Develop the Linux and programming skills you need to build basic applications Build your inventory of parts so you can always "make it work" Understand interfacing, controlling, and communicating with almost any component Explore advanced applications with video, audio, real-world interactions, and more Be free to adapt and create with Exploring Raspberry Pi.

Author : William Cowan,Jaromira Rakušan
Publisher : John Benjamins Publishing
Page : 265 pages
File Size : 50,6 Mb
Release : 1998
Category : Language Arts & Disciplines
ISBN : 9789027221629

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Source Book for Linguistics by William Cowan,Jaromira Rakušan Pdf

This is a revised and expanded edition of Cowan and Rakusan's Source Book for Linguistics. In addition to the chapters on Phonetics, Phonology, Phonological Alternations, Morphology, Syntax, Sound Change and Historical Reconstruction, there are two new chapters on Semantics and Grammatical and Lexical Change, plus an index of the 93 languages and dialects represented in the book and a revised bibliography. New exercises have been added to most chapters, and many exercises have been revised to focus on new issues in linguistics. Solutions can be found in a separate section. This new edition is an up-to-date teaching tool and a source of examples in a variety of linguistic applications.

Author : Andrew Adler,John E. Coury
Publisher : Jones & Bartlett Publishers
Page : 424 pages
File Size : 46,9 Mb
Release : 1995
Category : Mathematics
ISBN : UOM:39015048558236

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The Theory of Numbers by Andrew Adler,John E. Coury Pdf