Neurons

A Mathematical Ignition

By: Masayoshi Hata

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Hardcover | 17 September 2014

At a Glance

Hardcover
232 Pages

Dimensions(cm)
22.86 x 15.24 x 1.42

Hardcover

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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.

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