The Problem of Integration in Finite Terms PDF Download
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Author: Robert H. Risch
Publisher:
ISBN:
Category :
Languages : en
Pages : 114
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Book Description
An elementary function is (roughly speaking) a function of a real or complex variable which can be built up using such operations as sine, exponentiation, log, 1/tan and algebraic operations. The problem of integration in finite terms asks whether we can tell, for a given elementary function, f, whether or not the integral of f is again an elementary function. If it is elementary, then one should be able to find it in a systematic manner. In this paper, the problem is formulated precisely, the underlying theory is discussed and finally the problem is solved for those elementary functions in the subclass built up without using irrational algebraic operations. (Author).
Author: Robert H. Risch
Publisher:
ISBN:
Category :
Languages : en
Pages : 114
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Book Description
An elementary function is (roughly speaking) a function of a real or complex variable which can be built up using such operations as sine, exponentiation, log, 1/tan and algebraic operations. The problem of integration in finite terms asks whether we can tell, for a given elementary function, f, whether or not the integral of f is again an elementary function. If it is elementary, then one should be able to find it in a systematic manner. In this paper, the problem is formulated precisely, the underlying theory is discussed and finally the problem is solved for those elementary functions in the subclass built up without using irrational algebraic operations. (Author).
Author: Clemens G. Raab
Publisher: Springer Nature
ISBN: 3030987671
Category : Computers
Languages : en
Pages : 303
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Book Description
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.
Author: Joseph Fels Ritt
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 0
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Book Description
Author: Joseph Fels Ritt
Publisher:
ISBN: 9780231915960
Category : Calculus, Integral
Languages : en
Pages : 0
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Book Description
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.
Author: Manuel Bronstein
Publisher: Springer Science & Business Media
ISBN: 3662033860
Category : Mathematics
Languages : en
Pages : 311
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Book Description
This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.
Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 76
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Book Description
Author: Manuel Bronstein
Publisher: Springer Science & Business Media
ISBN: 3540268421
Category : Mathematics
Languages : en
Pages : 331
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Book Description
First edition received rave reviews The second edition offers a new chapter on parallel integration Includes additional exercises
Author: Mohamed Jamil Baddoura
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
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Book Description
Author: Patrizia Gianni
Publisher: Springer Science & Business Media
ISBN: 9783540510840
Category : Computers
Languages : en
Pages : 564
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Book Description
The ISSAC'88 is the thirteenth conference in a sequence of international events started in 1966 thanks to the then established ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM). For the first time the two annual conferences "International Symposium on Symbolic and Algebraic Computation" (ISSAC) and "International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes" (AAECC) have taken place as a Joint Conference in Rome, July 4-8, 1988. Twelve invited papers on subjects of common interest for the two conferences are included in the proceedings and divided between this volume and the preceding volume of Lecture Notes in Computer Science which is devoted to AAECC-6. This book contains contributions on the following topics: Symbolic, Algebraic and Analytical Algorithms, Automatic Theorem Proving, Automatic Programming, Computational Geometry, Problem Representation and Solution, Languages and Systems for Symbolic Computation, Applications to Sciences, Engineering and Education.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1502
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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
