Integration In Finite Terms

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Integration In Finite Terms Fundamental Sources

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Author : Clemens G. Raab
language : en
Publisher: Springer Nature
Release Date : 2022-06-06

Integration In Finite Terms Fundamental Sources written by Clemens G. Raab and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-06 with Computers categories.

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.

Integration In Finite Terms

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Author : Joseph Fels Ritt
language : en
Publisher:
Release Date : 1948

Integration In Finite Terms written by Joseph Fels Ritt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Calculus, Integral categories.

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.

Integration In Finite Terms

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Author : Joseph Fels Ritt
language : en
Publisher:
Release Date : 1948

Integration In Finite Terms written by Joseph Fels Ritt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mathematics categories.

Symbolic Integration I

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Author : Manuel Bronstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Symbolic Integration I written by Manuel Bronstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

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.

The Integration Of Functions Of A Single Variable

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Author : Godfrey Harold Hardy
language : en
Publisher:
Release Date : 1905

The Integration Of Functions Of A Single Variable written by Godfrey Harold Hardy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1905 with Calculus, Integral categories.

The Handbook Of Integration

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Author : Daniel Zwillinger
language : en
Publisher: CRC Press
Release Date : 1992-11-02

The Handbook Of Integration written by Daniel Zwillinger and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-02 with Mathematics categories.

This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Appro

An Introduction To Measure Theory

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Author : Terence Tao
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-03

An Introduction To Measure Theory written by Terence Tao and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-03 with Education categories.

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Algorithms For Computer Algebra

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Author : Keith O. Geddes
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-09-30

Algorithms For Computer Algebra written by Keith O. Geddes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-30 with Computers categories.

Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.

Inside Interesting Integrals

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Author : Paul J. Nahin
language : en
Publisher: Springer Nature
Release Date : 2020-06-27

Inside Interesting Integrals written by Paul J. Nahin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-27 with Science categories.

What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

The Problem Of Integration In Finite Terms

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Author : Robert H. Risch
language : en
Publisher:
Release Date : 1969

The Problem Of Integration In Finite Terms written by Robert H. Risch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.

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).