The Problem Of Integration In Finite Terms
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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.
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
A History Of Mathematical Impossibility
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Author : Jesper Lützen
language : en
Publisher: Oxford University Press
Release Date : 2023
A History Of Mathematical Impossibility written by Jesper Lützen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematics categories.
This book tells the history of impossibility theorems starting with the ancient Greek proof of the incommensurability of the side and the diagonal in a square.
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).
Joseph Liouville 1809 1882
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Author : Jesper Lützen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Joseph Liouville 1809 1882 written by Jesper Lützen 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 2012-12-06 with Mathematics categories.
This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, Sturm-Liouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics.
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.
Computer Aided Proofs In Analysis
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Author : Kenneth R. Meyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Aided Proofs In Analysis written by Kenneth R. Meyer 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 2012-12-06 with Mathematics categories.
This IMA Volume in Mathematics and its Applications COMPUTER AIDED PROOFS IN ANALYSIS is based on the proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989. Each year the 19 Participating Institutions select, through a competitive process, several conferences proposals from the PIs, for partial funding. This conference brought together leading figures in a number of fields who were interested in finding exact answers to problems in analysis through computer methods. We thank Kenneth Meyer and Dieter Schmidt for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Since the dawn of the computer revolution the vast majority of scientific compu tation has dealt with finding approximate solutions of equations. However, during this time there has been a small cadre seeking precise solutions of equations and rigorous proofs of mathematical results. For example, number theory and combina torics have a long history of computer-assisted proofs; such methods are now well established in these fields. In analysis the use of computers to obtain exact results has been fragmented into several schools.
Encyclopedia Of Microcomputers
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Author : Allen Kent
language : en
Publisher: CRC Press
Release Date : 1995-10-13
Encyclopedia Of Microcomputers written by Allen Kent and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-13 with Computers categories.
Strategies in the Microprocessor Industry to Teaching Critical Thinking and Problem Solving
Alan Turing Life And Legacy Of A Great Thinker
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Author : Christof Teuscher
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Alan Turing Life And Legacy Of A Great Thinker written by Christof Teuscher 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 2013-06-29 with Computers categories.
Alan Turing's fundamental contributions to computing led to the development of modern computing technology, and his work continues to inspire researchers in computing science and beyond. This book is the definitive collection of commemorative essays, and the distinguished contributors have expertise in such diverse fields as artificial intelligence, natural computing, mathematics, physics, cryptology, cognitive studies, philosophy and anthropology. The volume spans the entire rich spectrum of Turing's life, research work and legacy. New light is shed on the future of computing science by visionary Ray Kurzweil. Notable contributions come from the philosopher Daniel Dennett, the Turing biographer Andrew Hodges, and the distinguished logician Martin Davis, who provides a first critical essay on an emerging and controversial field termed hypercomputation. A special feature of the book is the play by Valeria Patera which tackles the scandal surrounding the last apple, and presents as an enigma the life, death and destiny of the man who did so much to decipher the Enigma code during the Second World War. Other chapters are modern reappraisals of Turing's work on computability, and deal with the major philosophical questions raised by the Turing Test, while the book also contains essays addressing his less well-known ideas on Fibonacci phyllotaxis and connectionism.
Anti Differentiation And The Calculation Of Feynman Amplitudes
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Author : Johannes Blümlein
language : en
Publisher: Springer Nature
Release Date : 2021-11-26
Anti Differentiation And The Calculation Of Feynman Amplitudes written by Johannes Blümlein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-26 with Science categories.
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.