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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.
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.
currently has two affiliations for his professional research work. Dr. Bailey is Senior Scientist, Computational Research Department, Lawrence Berkeley National Laboratory from which he officially retired in June 2013 but continues as an active researcher. Since February 2013, Bailey is also a Research Fellow, Department of Computer Science, University of California, Davis.
Jonathan M. Borwein
is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW) with adjunct appointments at Dalhousie and at Simon Fraser. He received his Doctorate from Oxford in 1974, and has published extensively in optimization, analysis, and computational mathematics, and has received various prizes both for research and for exposition. He directs the University of Newcastle's Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).
Presents amazing techniques for computing digits of pi as well as high-tech techniques for analyzing pi
Brief synopses precede each contribution containing a summary of its content and a short key word list indicating how the content relates to others in the collection
Presents a modern collection of papers dealing with pi and associated topics in mathematics and computer science
Erscheinungsjahr: | 2018 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xiv
507 S. |
ISBN-13: | 9783319812700 |
ISBN-10: | 331981270X |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Borwein, Jonathan M.
Bailey, David H. |
Auflage: | Softcover reprint of the original 1st ed. 2016 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG |
Maße: | 254 x 178 x 29 mm |
Von/Mit: | Jonathan M. Borwein (u. a.) |
Erscheinungsdatum: | 22.04.2018 |
Gewicht: | 0,974 kg |
currently has two affiliations for his professional research work. Dr. Bailey is Senior Scientist, Computational Research Department, Lawrence Berkeley National Laboratory from which he officially retired in June 2013 but continues as an active researcher. Since February 2013, Bailey is also a Research Fellow, Department of Computer Science, University of California, Davis.
Jonathan M. Borwein
is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW) with adjunct appointments at Dalhousie and at Simon Fraser. He received his Doctorate from Oxford in 1974, and has published extensively in optimization, analysis, and computational mathematics, and has received various prizes both for research and for exposition. He directs the University of Newcastle's Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).
Presents amazing techniques for computing digits of pi as well as high-tech techniques for analyzing pi
Brief synopses precede each contribution containing a summary of its content and a short key word list indicating how the content relates to others in the collection
Presents a modern collection of papers dealing with pi and associated topics in mathematics and computer science
Erscheinungsjahr: | 2018 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xiv
507 S. |
ISBN-13: | 9783319812700 |
ISBN-10: | 331981270X |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Borwein, Jonathan M.
Bailey, David H. |
Auflage: | Softcover reprint of the original 1st ed. 2016 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG |
Maße: | 254 x 178 x 29 mm |
Von/Mit: | Jonathan M. Borwein (u. a.) |
Erscheinungsdatum: | 22.04.2018 |
Gewicht: | 0,974 kg |