Integration in Finite Terms: Fundamental Sources [electronic resource] /

Contributor(s):

Material type: Text

TextSeries: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, AustriaPublisher: Cham : Springer International Publishing : Imprint: Springer, 2022Edition: 1st ed. 2022Description: VII, 305 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783030987671

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:

005.131 23

LOC classification:

QA76.9.M35

Online resources:

Click here to access online

Contents:

Joseph 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.

In: Springer Nature eBookSummary: This 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.

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This 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.

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