Neurons: A Mathematical Ignition

By Masayoshi Hata

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.

• Format: Hardcover
• Language: English
• ISBN: 9814618616
• ISBN13: 9789814618618
• Release Date: November 2014
• Publisher: World Scientific Publishing Company
• Length: 232 Pages
• Weight: 1.20 lbs.
• Dimensions: 1.0" x 6.2" x 9.1"