Neurons: A Mathematical Ignition
Seiten
2014
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4618-61-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4618-61-8 (ISBN)
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.
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.
Reihe/Serie | Series on Number Theory and Its Applications ; 9 |
---|---|
Verlagsort | Singapore |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
ISBN-10 | 981-4618-61-6 / 9814618616 |
ISBN-13 | 978-981-4618-61-8 / 9789814618618 |
Zustand | Neuware |
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