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Pi: The Next Generation : A Sourcebook on the Recent History of Pi and Its Computation / / by David H. Bailey, Jonathan M. Borwein
| Pi: The Next Generation : A Sourcebook on the Recent History of Pi and Its Computation / / by David H. Bailey, Jonathan M. Borwein |
| Autore | Bailey David H |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XIV, 507 p.) |
| Disciplina | 518 |
| Soggetto topico |
Computer mathematics
Number theory Mathematics History Computational Mathematics and Numerical Analysis Number Theory History of Mathematical Sciences |
| ISBN | 3-319-32377-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2), and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey -- The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of pi -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index. |
| Record Nr. | UNINA-9910254064403321 |
Bailey David H
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Vector computer memory bank contention [[electronic resource] /] / David H. Bailey
| Vector computer memory bank contention [[electronic resource] /] / David H. Bailey |
| Autore | Bailey David H |
| Pubbl/distr/stampa | Palo Alto, Calif. : , : Informatics General Corp. |
| Descrizione fisica | 1 online resource (13 pages) : illustrations |
| Collana | NASA contractor report |
| Soggetto topico |
Central processing units
Chips (memory devices) Computer storage devices Computer systems performance Memory (computers) Supercomputers |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910702197003321 |
|
Bailey David H
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| Palo Alto, Calif. : , : Informatics General Corp. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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