Neurons: A Mathematical Ignition (Hardcover)

Neurons: A Mathematical Ignition By Masayoshi Hata Cover Image
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Description


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.
Product Details
ISBN: 9789814618618
ISBN-10: 9814618616
Publisher: World Scientific Publishing Company
Publication Date: November 5th, 2014
Pages: 232
Language: English
Series: Series on Number Theory and Its Applications