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Titlebook: Computer Aided Proofs in Analysis; Kenneth R. Meyer,Dieter S. Schmidt Book 1991 Springer-Verlag New York Inc. 1991 Mathematica.algebra.alg

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书目名称Computer Aided Proofs in Analysis
编辑Kenneth R. Meyer,Dieter S. Schmidt
视频video
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Computer Aided Proofs in Analysis;  Kenneth R. Meyer,Dieter S. Schmidt Book 1991 Springer-Verlag New York Inc. 1991 Mathematica.algebra.alg
描述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 severa
出版日期Book 1991
关键词Mathematica; algebra; algorithms; bifurcation; integration
版次1
doihttps://doi.org/10.1007/978-1-4613-9092-3
isbn_softcover978-1-4613-9094-7
isbn_ebook978-1-4613-9092-3Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York Inc. 1991
The information of publication is updating

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Floating-Point Systems for Theorem Proving,guarantees. These systems may be conveniently used as a component in theorem proving. Following a brief description of the methodology which underlies these systems, we tabulate them, indicating some properties and noting where they may be obtained for use. A brief appendix supplies an introduction
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MACSYMA Program to Implement Averaging Using Elliptic Functions,tic functions, a process which is most easily and accurately accomplished using computer algebra. We present the listing of a MACSYMA program which implements the method to 0(.), as well as the results of a run for which . is taken as a general cubic polynomial in . and .
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A Toolbox for Nonlinear Dynamics,ch in nonlinear dynamics. On the mathematical front, we point to the theory of Lie transformations; in the area of computational software, we explain how massively data parallel machines open the way for symbolic solution of large problems. Finally, we show how color graphics assist in the qualitati
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Accurate Strategies for K.A.M. Bounds and Their Implementation,convergence of these expansions for values of the perturbation parameter as close to optimal as desired. The method is based on a constructive form of K.A.M. theory and implemented using interval arithmetic. For some cases, the algorithms have been run on a computer yielding results better than 90%
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