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1. Neurons : a mathematical ignition

   Hata, Masayoshi

   New Jersey : World Scientific, [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 beginningThis 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. Each chapter contains a number of instructive and mostly original exercises at various levels.

   Online EBSCO Academic Comprehensive Collection

2. Neurons : a mathematical ignition

   Hata, Masayoshi

   Singapore ; Hackensack, NJ : World Scientific Publishing Co., [2015]

   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. Each chapter contains a number of instructive and mostly original exercises at various levels.

   Online World Scientific

3. Neurons [print/digital] : methods and applications for the cell biologist

   Amsterdam : Boston : Academic Press, c2003.

   Online www.sciencedirect.com

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