Description

Book Synopsis
Critical Acclaim for Pi and the AGM: "Fortunately we have the Borwein's beautiful book... explores in the first five chapters the glorious world so dear to Ramanujan... would be a marvelous text book for a graduate course.

Table of Contents
Complete Elliptic Integrals and the Arithmetic-Geometric MeanIteration.

Theta Functions and the Arithmetic-Geometric Mean Iteration.

Jacobi's Triple-Product and Some Number TheoreticApplications.

Higher Order Transformations.

Modular Equations and Algebraic Approximations to pi.

The Complexity of Algebraic Functions.

Algorithms for the Elementary Functions.

General Means and Iterations.

Some Additional Applications.

Other Approaches to the Elementary Functions.

Pi.

Bibliography.

Symbol List.

Index.

Pi and the Agm

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    £145.76

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    A Paperback / softback by Jonathan M. Borwein, Peter B. Borwein

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      Publisher: John Wiley & Sons Inc
      Publication Date: 27/07/1998
      ISBN13: 9780471315155, 978-0471315155
      ISBN10: 047131515X
      Also in:
      Mathematics

      Description

      Book Synopsis
      Critical Acclaim for Pi and the AGM: "Fortunately we have the Borwein's beautiful book... explores in the first five chapters the glorious world so dear to Ramanujan... would be a marvelous text book for a graduate course.

      Table of Contents
      Complete Elliptic Integrals and the Arithmetic-Geometric MeanIteration.

      Theta Functions and the Arithmetic-Geometric Mean Iteration.

      Jacobi's Triple-Product and Some Number TheoreticApplications.

      Higher Order Transformations.

      Modular Equations and Algebraic Approximations to pi.

      The Complexity of Algebraic Functions.

      Algorithms for the Elementary Functions.

      General Means and Iterations.

      Some Additional Applications.

      Other Approaches to the Elementary Functions.

      Pi.

      Bibliography.

      Symbol List.

      Index.

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