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Neurons : a mathematical ignition / Masayoshi Hata.

By: Material type: TextTextSeries: Series on number theory and its applications ; vol. 9.Publisher: New Jersey : World Scientific, [2014]Copyright date: ©2015Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789814618625
  • 9814618624
Subject(s): Genre/Form: Additional physical formats: Print version:: Neurons.DDC classification:
  • 591.188 23
LOC classification:
  • QP363
Online resources: Summary: This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello''s neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of "dynamical systems", even in a single neuron case, enables us to obtain amazingly good rational approximations to the Hecke-Mahler series with two variables. Some interesting numerical applications of our rational approximations are also discussed. This book is fundamentally self-contained and many topics required in it are explained from the beginning.
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Online resource; title from PDF title page (EBSCO, viewed October 15, 2014).

This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello''s neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of "dynamical systems", even in a single neuron case, enables us to obtain amazingly good rational approximations to the Hecke-Mahler series with two variables. Some interesting numerical applications of our rational approximations are also discussed. This book is fundamentally self-contained and many topics required in it are explained from the beginning.

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