A01=Masayoshi Hata
Author_Masayoshi Hata
Category=PBH
Diophantine Approximation
Discrete Dynamical Systems
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Farey Series
Fibonacci Numbers
Hecke-Mahler Series
HeckeAcAEURA"Mahler Series
Hecke–Mahler Series
Irrationality Measures
Rotation Numbers
Transcendental Numbers
Product details
- ISBN 9789814618618
- Publication Date: 05 Nov 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
