文档介绍：Canadian Mathematical SocietyEditor s-in-ChiefRedacteurs-en-chefJonathan BorweinPeter BorweinOuvrages de math′ematiques de la SMC′Marian Mure anA Concrete Approach to Classical AnalysisABCs?Marian Mure anFaculty of Mathematics &Computer ScienceUniversityBabe -BolyaiStr. Mihail Kogalniceanu nr. 1400084 Cluj-******@Library of Congress Control Number: 2008Mathematics Subject Classi?cation (2000): 46-xxc?Springer Science+Business Media, LLC 2009All rights reserved. This work may not be translated or copied in whole or in part without the writtenpermission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY10013, USA), except for brief excerpts in connection withreviews or scholarly analysis. Use in connectionwith any formof information storage and retrieval, electronic adaptation, computer software, or by similaror dissimilar methodology now known orhereafter developed is use in this publication of trade names, trademarks, service marks, and similar terms, even if they arenot identi?ed as such, is not to be taken as an expression of opinion as to whether or not they are subjectto proprietary on acid-free ISBN 978-0-387-78932-3 e-ISBN 978-0-387-78933-0DOI / 978-0-387-78933-0s?s?939066To the memory of my puto ergo sumD. H. Bailey1′Eνo?ιδα′oτιδ′?ν o?ιδα(The only thing I know is that I don’t know anything)Socrates2Also, he made a molten sea of ten cubits from brim to brim,round pass, and ?ve cubits the height thereof;and a line of thirty cubits pass it round Testament, 1 Kings 7:23We would be amiss, however, if we did not emphasize that theextended precision calculation ofπhas substantial applicationas a test of the “global integrity” of a . H. Bailey, J. M. Borwein,3and P. B. Borwein4in[10]...themaingoal putation in pure mathematics isarguably to yieldinsight.[22]1David H. Bailey, Chief Technologist, Computational Research Dept., LawrenceBerkeley