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020 _a9783030987671
_9978-3-030-98767-1
024 7 _a10.1007/978-3-030-98767-1
_2doi
050 4 _aQA76.9.M35
072 7 _aUYAM
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aUYAM
_2thema
082 0 4 _a005.131
_223
245 1 0 _aIntegration in Finite Terms: Fundamental Sources
_h[electronic resource] /
_cedited by Clemens G. Raab, Michael F. Singer.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _aVII, 305 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
_x2197-8409
505 0 _aJoseph Liouville: Sur la determination des integrales dont la valeur est algebrique. - Joseph Ritt: Integration in Finite Terms -- Robert Risch: On the Integration of Elementary Functions that are Built Up Using Algebraic Operations -- Barry Trager: Integration of Algebraic Functions -- Maxwell Rosenlicht: Integration in Finite Terms -- Comments to these papers.
520 _aThis volume gives an up-to-date review of the subject Integration in Finite Terms. The book collects four significant texts together with an extensive bibliography and commentaries discussing these works and their impact. These texts, either out of print or never published before, are fundamental to the subject of the book. Applications in combinatorics and physics have aroused a renewed interest in this well-developed area devoted to finding solutions of differential equations and, in particular, antiderivatives, expressible in terms of classes of elementary and special functions.
650 0 _aComputer science
_xMathematics.
650 0 _aAlgebraic fields.
650 0 _aPolynomials.
650 0 _aAlgorithms.
650 1 4 _aSymbolic and Algebraic Manipulation.
650 2 4 _aField Theory and Polynomials.
650 2 4 _aAlgorithms.
700 1 _aRaab, Clemens G.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSinger, Michael F.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030987664
776 0 8 _iPrinted edition:
_z9783030987688
776 0 8 _iPrinted edition:
_z9783030987695
830 0 _aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
_x2197-8409
856 4 0 _uhttps://doi.org/10.1007/978-3-030-98767-1
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c175624
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