Bailey Pi: The Next Generation 9783319323756

Варианты приобретения

Цена: 9781.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2025-07-28
Ориентировочная дата поставки: Август-начало Сентября
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

Автор: Bailey
Название: Pi: The Next Generation
ISBN: 9783319323756
Издательство: Springer
Классификация:

Теория чисел

Вычислительная математика

История математики

ISBN-10: 331932375X
Обложка/Формат: Hardback
Страницы: 507
Вес: 1.17 кг.
Дата издания: 2016
Язык: English
Иллюстрации: 41 colour tables, biography
Размер: 186 x 263 x 36
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Подзаголовок: A Sourcebook on the Recent History of Pi and Its Computation
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: 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.
Дополнительное описание: Foreword.- Preface.- Introduction.- Computation of pi using arithmetic-geometric mean.- Fast multiple-precision evaluation of elementary functions.- The arithmetic-geometric mean of Gauss.- The arithmetic-geometric mean and fast computation of elementary

Pi: The Next Generation, Bailey