Pi and the AGM

Name: Pi and the AGM
SKU: 3077705
Price: 441.99 AUD
Availability: InStock

A Study in Analytic Number Theory and Computational Complexity

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Paperback / softback

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Description

By examining the complex relationship between pi and the AGM, or Arithmetic-Geometric Mean, this book presents research revealing the interplay between classical analysis and modern computation and complexity theory. Two intimately-interwoven strands run through the book: the AGM iteration of Gauss, Lagrange, and Legendre; and the calculation of pi. Also included in the discussion are Rogers-Ramanujan identities, algebraic series for pi, results on sums of two and four squares, the transcendence of pi and Madelun's constant, lattice sums, and elliptical invariance.

Author Biography:

Jonathan Michael Borwein was a Scottish mathematician who held an appointment as Laureate Professor of mathematics at the University of Newcastle, Australia. Peter B. Borwein is the author of Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity, published by Wiley.

Release date Australia

July 27th, 1998

Author

Audiences

General (US: Trade)
Postgraduate, Research & Scholarly
Professional & Vocational

Pages

432

Dimensions

155x234x20

ISBN-13

9780471315155

Product ID

3077705

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