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Neurons: a mathematical ignition

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 neuro...

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Bibliographische Detailangaben
1. Verfasser:	Hata, Masayoshi (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Pub. Co. c2015
Schriftenreihe:	Series on Number Theory and Its Applications v. 9
Schlagworte:	Differentiable dynamical systems Series, Farey Funktionalgleichung Mathematische Modellierung Nervenzelle
Online-Zugang:	FHN01 Volltext Inhaltsverzeichnis
Zusammenfassung:	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
Beschreibung:	xiii, 216 p. ill
ISBN:	9789814618625

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spelling	Hata, Masayoshi Verfasser aut Neurons a mathematical ignition Masayoshi Hata Singapore World Scientific Pub. Co. c2015 xiii, 216 p. ill txt rdacontent c rdamedia cr rdacarrier Series on Number Theory and Its Applications v. 9 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 Differentiable dynamical systems Series, Farey Funktionalgleichung (DE-588)4018923-5 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Nervenzelle (DE-588)4041649-5 gnd rswk-swf Nervenzelle (DE-588)4041649-5 s Mathematische Modellierung (DE-588)7651795-0 s Funktionalgleichung (DE-588)4018923-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814618618 http://www.worldscientific.com/worldscibooks/10.1142/9263#t=toc Verlag URL des Erstveroeffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030038435&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Hata, Masayoshi Neurons a mathematical ignition Differentiable dynamical systems Series, Farey Funktionalgleichung (DE-588)4018923-5 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Nervenzelle (DE-588)4041649-5 gnd
subject_GND	(DE-588)4018923-5 (DE-588)7651795-0 (DE-588)4041649-5
title	Neurons a mathematical ignition
title_auth	Neurons a mathematical ignition
title_exact_search	Neurons a mathematical ignition
title_full	Neurons a mathematical ignition Masayoshi Hata
title_fullStr	Neurons a mathematical ignition Masayoshi Hata
title_full_unstemmed	Neurons a mathematical ignition Masayoshi Hata
title_short	Neurons
title_sort	neurons a mathematical ignition
title_sub	a mathematical ignition
topic	Differentiable dynamical systems Series, Farey Funktionalgleichung (DE-588)4018923-5 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Nervenzelle (DE-588)4041649-5 gnd
topic_facet	Differentiable dynamical systems Series, Farey Funktionalgleichung Mathematische Modellierung Nervenzelle
url	http://www.worldscientific.com/worldscibooks/10.1142/9263#t=toc http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030038435&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT hatamasayoshi neuronsamathematicalignition

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