Integration in Finite Terms : : Liouville’S Theory of Elementary Methods /

Integration in Finite Terms : : Liouville’S Theory of Elementary Methods / / Joseph Fels Ritt.

Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and th...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999
VerfasserIn:
Ritt, Joseph Fels,
Place / Publishing House:New York, NY : : Columbia University Press, , [1948]
©1948
Year of Publication:1948
Language:English
Online Access:
Physical Description:1 online resource (102 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9780231884518
ctrlnum (DE-B1597)509067
(OCoLC)1100437033
collection bib_alma
record_format marc
spelling Ritt, Joseph Fels, author. aut http://id.loc.gov/vocabulary/relators/aut
Integration in Finite Terms : Liouville’S Theory of Elementary Methods / Joseph Fels Ritt.
New York, NY : Columbia University Press, [1948]
©1948
1 online resource (102 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Frontmatter -- PREFACE -- CONTENTS -- Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE -- Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS -- Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS -- Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS -- Chapter V. SERIES OF FRACTIONAL POWERS -- Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES -- Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER -- Chapter VIII. FURTHER IMPLICIT PROBLEMS -- REFERENCES
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.
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 30. Aug 2021)
MATHEMATICS / Calculus. bisacsh
Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999 9783110442489
print 9780231915960
https://doi.org/10.7312/ritt91596
https://www.degruyter.com/isbn/9780231884518
Cover https://www.degruyter.com/cover/covers/9780231884518.jpg
language English
format eBook
author Ritt, Joseph Fels,
Ritt, Joseph Fels,
spellingShingle Ritt, Joseph Fels,
Ritt, Joseph Fels,
Integration in Finite Terms : Liouville’S Theory of Elementary Methods /
Frontmatter --
PREFACE --
CONTENTS --
Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE --
Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS --
Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS --
Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS --
Chapter V. SERIES OF FRACTIONAL POWERS --
Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES --
Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER --
Chapter VIII. FURTHER IMPLICIT PROBLEMS --
REFERENCES
author_facet Ritt, Joseph Fels,
Ritt, Joseph Fels,
author_variant j f r jf jfr
j f r jf jfr
author_role VerfasserIn
VerfasserIn
author_sort Ritt, Joseph Fels,
title Integration in Finite Terms : Liouville’S Theory of Elementary Methods /
title_sub Liouville’S Theory of Elementary Methods /
title_full Integration in Finite Terms : Liouville’S Theory of Elementary Methods / Joseph Fels Ritt.
title_fullStr Integration in Finite Terms : Liouville’S Theory of Elementary Methods / Joseph Fels Ritt.
title_full_unstemmed Integration in Finite Terms : Liouville’S Theory of Elementary Methods / Joseph Fels Ritt.
title_auth Integration in Finite Terms : Liouville’S Theory of Elementary Methods /
title_alt Frontmatter --
PREFACE --
CONTENTS --
Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE --
Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS --
Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS --
Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS --
Chapter V. SERIES OF FRACTIONAL POWERS --
Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES --
Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER --
Chapter VIII. FURTHER IMPLICIT PROBLEMS --
REFERENCES
title_new Integration in Finite Terms :
title_sort integration in finite terms : liouville’s theory of elementary methods /
publisher Columbia University Press,
publishDate 1948
physical 1 online resource (102 p.)
contents Frontmatter --
PREFACE --
CONTENTS --
Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE --
Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS --
Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS --
Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS --
Chapter V. SERIES OF FRACTIONAL POWERS --
Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES --
Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER --
Chapter VIII. FURTHER IMPLICIT PROBLEMS --
REFERENCES
isbn 9780231884518
9783110442489
9780231915960
url https://doi.org/10.7312/ritt91596
https://www.degruyter.com/isbn/9780231884518
https://www.degruyter.com/cover/covers/9780231884518.jpg
illustrated Not Illustrated
doi_str_mv 10.7312/ritt91596
oclc_num 1100437033
work_keys_str_mv AT rittjosephfels integrationinfinitetermsliouvillestheoryofelementarymethods
status_str n
ids_txt_mv (DE-B1597)509067
(OCoLC)1100437033
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999
is_hierarchy_title Integration in Finite Terms : Liouville’S Theory of Elementary Methods /
container_title Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999
_version_ 1770176105892806656
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03126nam a22006255i 4500</leader><controlfield tag="001">9780231884518</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t19481948nyu fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780231884518</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.7312/ritt91596</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)509067</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1100437033</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">nyu</subfield><subfield code="c">US-NY</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT005000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ritt, Joseph Fels, </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">Integration in Finite Terms :</subfield><subfield code="b">Liouville’S Theory of Elementary Methods /</subfield><subfield code="c">Joseph Fels Ritt.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY : </subfield><subfield code="b">Columbia University Press, </subfield><subfield code="c">[1948]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1948</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (102 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="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">PREFACE -- </subfield><subfield code="t">CONTENTS -- </subfield><subfield code="t">Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE -- </subfield><subfield code="t">Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS -- </subfield><subfield code="t">Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS -- </subfield><subfield code="t">Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS -- </subfield><subfield code="t">Chapter V. SERIES OF FRACTIONAL POWERS -- </subfield><subfield code="t">Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES -- </subfield><subfield code="t">Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER -- </subfield><subfield code="t">Chapter VIII. FURTHER IMPLICIT PROBLEMS -- </subfield><subfield code="t">REFERENCES</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="520" ind1=" " ind2=" "><subfield code="a">Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.</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 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Calculus.</subfield><subfield code="2">bisacsh</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">Columbia University Press eBook-Package Archive 1898-1999</subfield><subfield code="z">9783110442489</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780231915960</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.7312/ritt91596</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9780231884518</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9780231884518.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044248-9 Columbia University Press eBook-Package Archive 1898-1999</subfield><subfield code="c">1898</subfield><subfield code="d">1999</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_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_PPALL</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></record></collection>

Similar Items