Pi And The Agm PDF Download
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Author | : Jonathan M. Borwein |
Publisher | : Wiley-Interscience |
Total Pages | : 472 |
Release | : 1987-01-19 |
Genre | : Computers |
ISBN | : |
Download Pi and the AGM Book in PDF, ePub and Kindle
This book presents new research revealing the interplay between classical analysis and modern computation and complexity theory. Two intimately interwoven threads run through the text: the arithmetic-geometric mean (AGM) iteration of Gauss, Lagrange, and Legendre and the calculation of pi.
Author | : Jörg Arndt |
Publisher | : Springer Science & Business Media |
Total Pages | : 275 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642567355 |
Download Pi - Unleashed Book in PDF, ePub and Kindle
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 | : David H. Bailey |
Publisher | : Springer Nature |
Total Pages | : 447 |
Release | : 2020-03-16 |
Genre | : Mathematics |
ISBN | : 3030365689 |
Download From Analysis to Visualization Book in PDF, ePub and Kindle
Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.
Author | : J.L. Berggren |
Publisher | : Springer |
Total Pages | : 812 |
Release | : 2014-01-13 |
Genre | : Mathematics |
ISBN | : 1475742177 |
Download Pi: A Source Book Book in PDF, ePub and Kindle
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 | : David H. Bailey |
Publisher | : Springer |
Total Pages | : 509 |
Release | : 2016-07-19 |
Genre | : Mathematics |
ISBN | : 3319323776 |
Download Pi: The Next Generation Book in PDF, ePub and Kindle
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 | : Jonathan M. Borwein |
Publisher | : Springer Science & Business Media |
Total Pages | : 754 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475732406 |
Download Pi: A Source Book Book in PDF, ePub and Kindle
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 | : Erwin Klein |
Publisher | : Wiley-Interscience |
Total Pages | : 280 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : |
Download Theory of Correspondences Book in PDF, ePub and Kindle
Author | : M Zuhair Nashed |
Publisher | : World Scientific |
Total Pages | : 577 |
Release | : 2018-01-12 |
Genre | : Mathematics |
ISBN | : 981322889X |
Download Frontiers In Orthogonal Polynomials And Q-series Book in PDF, ePub and Kindle
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.
Author | : Richard P. Brent |
Publisher | : Cambridge University Press |
Total Pages | : 236 |
Release | : 2010-11-25 |
Genre | : Computers |
ISBN | : 9780521194693 |
Download Modern Computer Arithmetic Book in PDF, ePub and Kindle
Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.
Author | : Anne Lafarre |
Publisher | : Emerald Group Publishing |
Total Pages | : 346 |
Release | : 2017-11-02 |
Genre | : Business & Economics |
ISBN | : 1787435342 |
Download The AGM in Europe Book in PDF, ePub and Kindle
Anne Lafarre combines wide ranging empirical legal and economic research to analyse and understand the real role of the AGM in the European businesses and corporate governance frameworks today.