Neurons: A Mathematical Ignition
A MATHEMATICAL IGNITION
Published on 5. November 2014
Book
Hardback
232 pages
978-981-4618-61-8 (ISBN)
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 17 mm
Weight
493 gr
ISBN-13
978-981-4618-61-8 (9789814618618)
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Schweitzer Classification
Person
Content
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.