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Pi and the Agm

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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 invariants.
Folgt in ca. 15 Arbeitstagen

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229,00 CHF

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