Transcendental Numbers /

Transcendental Numbers / / Andrei B. Shidlovskii.

Show other versions (1)
Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Shidlovskii, Andrei B.,
MitwirkendeR:
Brownawell, W. D.,
Koblitz, Neal,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©1989
Year of Publication:2011
Edition:Reprint 2011
Language:English
Series:De Gruyter Studies in Mathematics , 12
Online Access:
Physical Description:1 online resource (466 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110889055
ctrlnum (DE-B1597)54288
(OCoLC)842972992
collection bib_alma
record_format marc
spelling Shidlovskii, Andrei B., author. aut http://id.loc.gov/vocabulary/relators/aut
Transcendental Numbers / Andrei B. Shidlovskii.
Reprint 2011
Berlin ; Boston : De Gruyter, [2011]
©1989
1 online resource (466 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 12
Frontmatter -- Foreword -- Preface to the English edition -- Preface -- Notation -- Introduction -- Chapter 1: Approximation of real and algebraic numbers -- Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points -- Chapter 3: Transcendence and algebraic independence of the values of Ε-functions which are not connected by algebraic equations over the field of rational functions -- Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions -- Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations -- Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations -- Chapter 7: Solutions of certain linear differential equations of arbitrary order -- Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order -- Chapter 9: Siegel's Theorem -- Chapter 10: Solutions of linear differential equations of prime order p -- Chapter 11: The algebraic independence measure of values of IE-functions -- Chapter 12: The algebraic independence measure of values of KE-functions -- Chapter 13: Effective bounds for measures -- Concluding remarks -- Supplementary remarks on recent work for the English edition -- Bibliography -- Backmatter
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Transcendental numbers.
Numbers, Transcendental.
MATHEMATICS / General. bisacsh
Brownawell, W. D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Koblitz, Neal, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM
Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 9783110635881 ZDB-23-GMA
Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS 9783110306569 ZDB-23-DBI
print 9783110115680
https://doi.org/10.1515/9783110889055
https://www.degruyter.com/isbn/9783110889055
Cover https://www.degruyter.com/document/cover/isbn/9783110889055/original
language English
format eBook
author Shidlovskii, Andrei B.,
Shidlovskii, Andrei B.,
spellingShingle Shidlovskii, Andrei B.,
Shidlovskii, Andrei B.,
Transcendental Numbers /
De Gruyter Studies in Mathematics ,
Frontmatter --
Foreword --
Preface to the English edition --
Preface --
Notation --
Introduction --
Chapter 1: Approximation of real and algebraic numbers --
Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points --
Chapter 3: Transcendence and algebraic independence of the values of Ε-functions which are not connected by algebraic equations over the field of rational functions --
Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions --
Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations --
Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations --
Chapter 7: Solutions of certain linear differential equations of arbitrary order --
Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order --
Chapter 9: Siegel's Theorem --
Chapter 10: Solutions of linear differential equations of prime order p --
Chapter 11: The algebraic independence measure of values of IE-functions --
Chapter 12: The algebraic independence measure of values of KE-functions --
Chapter 13: Effective bounds for measures --
Concluding remarks --
Supplementary remarks on recent work for the English edition --
Bibliography --
Backmatter
author_facet Shidlovskii, Andrei B.,
Shidlovskii, Andrei B.,
Brownawell, W. D.,
Brownawell, W. D.,
Koblitz, Neal,
Koblitz, Neal,
author_variant a b s ab abs
a b s ab abs
author_role VerfasserIn
VerfasserIn
author2 Brownawell, W. D.,
Brownawell, W. D.,
Koblitz, Neal,
Koblitz, Neal,
author2_variant w d b wd wdb
w d b wd wdb
n k nk
n k nk
author2_role MitwirkendeR
MitwirkendeR
MitwirkendeR
MitwirkendeR
author_sort Shidlovskii, Andrei B.,
title Transcendental Numbers /
title_full Transcendental Numbers / Andrei B. Shidlovskii.
title_fullStr Transcendental Numbers / Andrei B. Shidlovskii.
title_full_unstemmed Transcendental Numbers / Andrei B. Shidlovskii.
title_auth Transcendental Numbers /
title_alt Frontmatter --
Foreword --
Preface to the English edition --
Preface --
Notation --
Introduction --
Chapter 1: Approximation of real and algebraic numbers --
Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points --
Chapter 3: Transcendence and algebraic independence of the values of Ε-functions which are not connected by algebraic equations over the field of rational functions --
Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions --
Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations --
Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations --
Chapter 7: Solutions of certain linear differential equations of arbitrary order --
Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order --
Chapter 9: Siegel's Theorem --
Chapter 10: Solutions of linear differential equations of prime order p --
Chapter 11: The algebraic independence measure of values of IE-functions --
Chapter 12: The algebraic independence measure of values of KE-functions --
Chapter 13: Effective bounds for measures --
Concluding remarks --
Supplementary remarks on recent work for the English edition --
Bibliography --
Backmatter
title_new Transcendental Numbers /
title_sort transcendental numbers /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2011
physical 1 online resource (466 p.)
Issued also in print.
edition Reprint 2011
contents Frontmatter --
Foreword --
Preface to the English edition --
Preface --
Notation --
Introduction --
Chapter 1: Approximation of real and algebraic numbers --
Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points --
Chapter 3: Transcendence and algebraic independence of the values of Ε-functions which are not connected by algebraic equations over the field of rational functions --
Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions --
Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations --
Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations --
Chapter 7: Solutions of certain linear differential equations of arbitrary order --
Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order --
Chapter 9: Siegel's Theorem --
Chapter 10: Solutions of linear differential equations of prime order p --
Chapter 11: The algebraic independence measure of values of IE-functions --
Chapter 12: The algebraic independence measure of values of KE-functions --
Chapter 13: Effective bounds for measures --
Concluding remarks --
Supplementary remarks on recent work for the English edition --
Bibliography --
Backmatter
isbn 9783110889055
9783110494938
9783110635881
9783110306569
9783110115680
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA247
callnumber-sort QA 3247.5
url https://doi.org/10.1515/9783110889055
https://www.degruyter.com/isbn/9783110889055
https://www.degruyter.com/document/cover/isbn/9783110889055/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512.73
dewey-sort 3512.73
dewey-raw 512.73
dewey-search 512.73
doi_str_mv 10.1515/9783110889055
oclc_num 842972992
work_keys_str_mv AT shidlovskiiandreib transcendentalnumbers
AT brownawellwd transcendentalnumbers
AT koblitzneal transcendentalnumbers
status_str n
ids_txt_mv (DE-B1597)54288
(OCoLC)842972992
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
Title is part of eBook package: De Gruyter DGBA Mathematics - <1990
Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS
is_hierarchy_title Transcendental Numbers /
container_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
author2_original_writing_str_mv noLinkedField
noLinkedField
noLinkedField
noLinkedField
_version_ 1806144765842948096
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04403nam a22007815i 4500</leader><controlfield tag="001">9783110889055</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228015514.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20111989gw fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)979734946</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110889055</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110889055</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)54288</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)842972992</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA247.5</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT000000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">512.73</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Shidlovskii, Andrei B., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Transcendental Numbers /</subfield><subfield code="c">Andrei B. Shidlovskii.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2011</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (466 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Studies in Mathematics ,</subfield><subfield code="x">0179-0986 ;</subfield><subfield code="v">12</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Foreword -- </subfield><subfield code="t">Preface to the English edition -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Notation -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Chapter 1: Approximation of real and algebraic numbers -- </subfield><subfield code="t">Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points -- </subfield><subfield code="t">Chapter 3: Transcendence and algebraic independence of the values of Ε-functions which are not connected by algebraic equations over the field of rational functions -- </subfield><subfield code="t">Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions -- </subfield><subfield code="t">Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations -- </subfield><subfield code="t">Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations -- </subfield><subfield code="t">Chapter 7: Solutions of certain linear differential equations of arbitrary order -- </subfield><subfield code="t">Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order -- </subfield><subfield code="t">Chapter 9: Siegel's Theorem -- </subfield><subfield code="t">Chapter 10: Solutions of linear differential equations of prime order p -- </subfield><subfield code="t">Chapter 11: The algebraic independence measure of values of IE-functions -- </subfield><subfield code="t">Chapter 12: The algebraic independence measure of values of KE-functions -- </subfield><subfield code="t">Chapter 13: Effective bounds for measures -- </subfield><subfield code="t">Concluding remarks -- </subfield><subfield code="t">Supplementary remarks on recent work for the English edition -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Backmatter</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Transcendental numbers.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numbers, Transcendental.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brownawell, W. D., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Koblitz, Neal, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Studies in Mathematics eBook-Package</subfield><subfield code="z">9783110494938</subfield><subfield code="o">ZDB-23-GSM</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - &lt;1990</subfield><subfield code="z">9783110635881</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-DITION 2: BEST OF MATHEMATICS, PHYSICS</subfield><subfield code="z">9783110306569</subfield><subfield code="o">ZDB-23-DBI</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110115680</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110889055</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110889055</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110889055/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DBI</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="b">1990</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GSM</subfield></datafield></record></collection>

Similar Items