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.Neurons: A Mathematical Ignition: A Mathematical Ignition is written by Masayoshi Hata and published by World Scientific. ISBNs for Neurons: A Mathematical Ignition are 9789814618632, 9814618632 and the print ISBNs are 9789814618618, 9814618616.
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