Integration in Finite Terms: Fundamental Sources

Integration in Finite Terms: Fundamental Sources

Author: Clemens G. Raab

Publisher: Springer Nature

Published: 2022-06-06

Total Pages: 303

ISBN-13: 3030987671

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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.


Symbolic Integration I

Symbolic Integration I

Author: Manuel Bronstein

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 311

ISBN-13: 3662033860

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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.


Algebra, Analysis, and Associated Topics

Algebra, Analysis, and Associated Topics

Author: Sandeep Singh

Publisher: Springer Nature

Published: 2023-01-16

Total Pages: 242

ISBN-13: 3031190823

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The 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.


Computer Algebra Handbook

Computer Algebra Handbook

Author: Johannes Grabmeier

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 656

ISBN-13: 3642558267

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This 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.


Integration in Finite Terms

Integration in Finite Terms

Author: Joseph Fels Ritt

Publisher:

Published: 1948

Total Pages: 0

ISBN-13: 9780231915960

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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.


Towards Mechanized Mathematical Assistants

Towards Mechanized Mathematical Assistants

Author: Manuel Kauers

Publisher: Springer

Published: 2007-08-15

Total Pages: 418

ISBN-13: 3540730869

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This 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.


Symbolic Asymptotics

Symbolic Asymptotics

Author: John R. Shackell

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 249

ISBN-13: 3662101769

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Accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research. Some results appear here for the first time, while others have hitherto only been given in preprints.


Companion to Concrete Mathematics

Companion to Concrete Mathematics

Author: Z. A. Melzak

Publisher: Courier Corporation

Published: 2007-06-25

Total Pages: 722

ISBN-13: 0486457818

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A two-volume treatment in a single binding, this supplementary text stresses intuitive appeal and ingenuity. It employs physical analogies, encourages problem formulation, and supplies problem-solving methods. 1973 and 1976 editions.


Cities and Their Vital Systems

Cities and Their Vital Systems

Author: Advisory Committee on Technology and Society

Publisher: National Academies Press

Published: 1989

Total Pages: 1298

ISBN-13: 9780309037860

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Cities and Their Vital Systems asks basic questions about the longevity, utility, and nature of urban infrastructures; analyzes how they grow, interact, and change; and asks how, when, and at what cost they should be replaced. Among the topics discussed are problems arising from increasing air travel and airport congestion; the adequacy of water supplies and waste treatment; the impact of new technologies on construction; urban real estate values; and the field of "telematics," the combination of computers and telecommunications that makes money machines and national newspapers possible.