Holdings: Neurons :: THWS Bibkatalog

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...

Full description

Saved in:

Bibliographic Details
Main Author:	Hata, Masayoshi (Author)
Format:	Electronic eBook
Language:	English
Published:	Singapore World Scientific Pub. Co. c2015
Series:	Series on Number Theory and Its Applications v. 9
Subjects:	Differentiable dynamical systems Series, Farey Funktionalgleichung Mathematische Modellierung Nervenzelle
Online Access:	FHN01 Volltext Inhaltsverzeichnis
Summary:	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
Physical Description:	xiii, 216 p. ill
ISBN:	9789814618625

Staff View

MARC


LEADER	00000nmm a2200000zcb4500
001	BV044640462
003	DE-604
005	00000000000000.0
007	cr\|uuu---uuuuu
008	171120s2015 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
020			\|a 9789814618625 \|9 978-981-4618-62-5
024	7		\|a 10.1142/9263 \|2 doi
035			\|a (ZDB-124-WOP)00006190
035			\|a (OCoLC)988734435
035			\|a (DE-599)BVBBV044640462
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
049			\|a DE-92
082	0		\|a 515.39 \|2 22
084			\|a SK 180 \|0 (DE-625)143222: \|2 rvk
100	1		\|a Hata, Masayoshi \|e Verfasser \|4 aut
245	1	0	\|a Neurons \|b a mathematical ignition \|c Masayoshi Hata
264		1	\|a Singapore \|b World Scientific Pub. Co. \|c c2015
300			\|a xiii, 216 p. \|b ill
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	0		\|a Series on Number Theory and Its Applications \|v v. 9
520			\|a 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
650		4	\|a Differentiable dynamical systems
650		4	\|a Series, Farey
650	0	7	\|a Funktionalgleichung \|0 (DE-588)4018923-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematische Modellierung \|0 (DE-588)7651795-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Nervenzelle \|0 (DE-588)4041649-5 \|2 gnd \|9 rswk-swf
689	0	0	\|a Nervenzelle \|0 (DE-588)4041649-5 \|D s
689	0	1	\|a Mathematische Modellierung \|0 (DE-588)7651795-0 \|D s
689	0	2	\|a Funktionalgleichung \|0 (DE-588)4018923-5 \|D s
689	0		\|8 1\p \|5 DE-604
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe \|z 9789814618618
856	4	0	\|u http://www.worldscientific.com/worldscibooks/10.1142/9263#t=toc \|x Verlag \|z URL des Erstveroeffentlichers \|3 Volltext
856	4	2	\|m DNB Datenaustausch \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
912			\|a ZDB-124-WOP
999			\|a oai:aleph.bib-bvb.de:BVB01-030038435
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
966	e		\|u http://www.worldscientific.com/worldscibooks/10.1142/9263#t=toc \|l FHN01 \|p ZDB-124-WOP \|q FHN_PDA_WOP \|x Verlag \|3 Volltext

Record in the Search Index

_version_	1804178060223709184
adam_text	HINWEISE FUER DIE BENUTZER AUSFUEHRLICHERE ARTIKEL WIDMEN SICH DEN THEMEN ALTER ANGST DEPRESSION FREUNDSCHAFT GEWALT KOMMUNIKATION LERNSTOERUNGEN MOBBING NEUROPSYCHOLOGIE PARTNERSCHAFT PERSOENLICHKEIT PSYCHOANALYSE PSYCHOSOMATIK PSYCHOTHERAPIE SCHMERZ SEXUALITAET STRESS SUCHT TESTS TRAUER TRAUM VERHALTENSAUFFAELLIGKEITEN WAHRNEHMUNG 26 38 104 184 222 302 340 372 402 426 434 464 476 482 524 554 590 596 616 632 638 662 678 GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/988734435 DIGITALISIERT DURCH
any_adam_object	1
author	Hata, Masayoshi
author_facet	Hata, Masayoshi
author_role	aut
author_sort	Hata, Masayoshi
author_variant	m h mh
building	Verbundindex
bvnumber	BV044640462
classification_rvk	SK 180
collection	ZDB-124-WOP
ctrlnum	(ZDB-124-WOP)00006190 (OCoLC)988734435 (DE-599)BVBBV044640462
dewey-full	515.39
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.39
dewey-search	515.39
dewey-sort	3515.39
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02820nmm a2200505zcb4500</leader><controlfield tag="001">BV044640462</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">171120s2015 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814618625</subfield><subfield code="9">978-981-4618-62-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/9263</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00006190</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)988734435</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044640462</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.39</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hata, Masayoshi</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Neurons</subfield><subfield code="b">a mathematical ignition</subfield><subfield code="c">Masayoshi Hata</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiii, 216 p.</subfield><subfield code="b">ill</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Series on Number Theory and Its Applications</subfield><subfield code="v">v. 9</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Series, Farey</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Modellierung</subfield><subfield code="0">(DE-588)7651795-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nervenzelle</subfield><subfield code="0">(DE-588)4041649-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nervenzelle</subfield><subfield code="0">(DE-588)4041649-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematische Modellierung</subfield><subfield code="0">(DE-588)7651795-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789814618618</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/9263#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030038435</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/9263#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV044640462
illustrated	Not Illustrated
indexdate	2024-07-10T07:57:58Z
institution	BVB
isbn	9789814618625
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-030038435
oclc_num	988734435
open_access_boolean
owner	DE-92
owner_facet	DE-92
physical	xiii, 216 p. ill
psigel	ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP
publishDate	2015
publishDateSearch	2015
publishDateSort	2015
publisher	World Scientific Pub. Co.
record_format	marc
series2	Series on Number Theory and Its Applications
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

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Get full text

MARC

Record in the Search Index

There is no print copy available.

Similar Items