Integration in Finite Terms with Elementary Functions and Dilogarithms
Author: Mohamed Jamil Baddoura
Publisher:
Published: 1994
Total Pages: 116
ISBN-13:
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Author: Mohamed Jamil Baddoura
Publisher:
Published: 1994
Total Pages: 116
ISBN-13:
DOWNLOAD EBOOKAuthor: Joel Moses
Publisher:
Published: 1988
Total Pages: 39
ISBN-13:
DOWNLOAD EBOOKThe result obtained generalizes Liouville's Theorem by allowing, in addition to the elementary functions, dilogarithms to appear in the integral of an elementary function. The basic conclusion is that an associated function to the dilogarithm, if dilogarithms appear in the integral, appears linearly, with logarithms appearing in a non-linear way. (kr).
Author: Clemens G. Raab
Publisher: Springer Nature
Published: 2022-06-06
Total Pages: 303
ISBN-13: 3030987671
DOWNLOAD EBOOKThis 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: Manuel Bronstein
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 311
ISBN-13: 3662033860
DOWNLOAD EBOOKThis 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: Sandeep Singh
Publisher: Springer Nature
Published: 2023-01-16
Total Pages: 242
ISBN-13: 3031190823
DOWNLOAD EBOOKThe chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific topics covered include maximal rotational hypersurfaces, k-Horadam sequences, quantum dynamical semigroups, and more. Additionally, several applications of algebraic number theory and analysis are presented. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
Author: Leon Lewin
Publisher:
Published: 1958
Total Pages: 386
ISBN-13:
DOWNLOAD EBOOKAuthor: Leonard Lewin
Publisher: American Mathematical Soc.
Published: 1991
Total Pages: 432
ISBN-13: 0821816349
DOWNLOAD EBOOKAbout ten years ago, the handful of peculiar numerical diogarithmic identities, known since the time of Euler and Landen, gave rise to new discoveries concerning cyclotomic equations and related polylogarithmic ladders. These discoveries were made mostly by the methods of classical analysis, with help from machine computation. About the same time, starting with Bloch's studies on the application of the dilogarithm in algebraic K-theory and algebraic geometry, many important discoveries were made in diverse areas. This book seeks to provide a synthesis of these two streams of thought. In addition to an account of ladders and their association with functional equations, the chapters include applications to volume calculations in Lobatchevsky geometry, relations to partition theory, connections with Clausen's function, new functional equations, and applications to K-theory and other branches of abstract algebra. This rapidly-expanding field is brought up to date with two appendices, and the book concludes with an extensive bibliography of recent publications. About two-thirds of the material is accessible to mathematicians and scientists in many areas, while the remainder requires more specialized background in abstract algebra.
Author: Joseph Fels Ritt
Publisher:
Published: 1948
Total Pages: 0
ISBN-13: 9780231915960
DOWNLOAD EBOOKGives 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: Johannes Grabmeier
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 656
ISBN-13: 3642558267
DOWNLOAD EBOOKThis Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Author: Manuel Kauers
Publisher: Springer Science & Business Media
Published: 2007-06-19
Total Pages: 418
ISBN-13: 3540730834
DOWNLOAD EBOOKThis book constitutes the refereed proceedings of the 6th International Conference on Mathematical Knowledge Management, MKM 2007, and the 14th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2006, held in Hagenberg, Austria in June 2007 as events of the RISC Summer 2007, organized by the Research Institute for Symbolic Computation.