Neurons: A Mathematical Ignition
Masayoshi Hata, "Neurons: A Mathematical Ignition"
English | ISBN: 9814618616 | 2014 | 200 pages | PDF | 2 MB
English | ISBN: 9814618616 | 2014 | 200 pages | PDF | 2 MB
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.