Computer Aided Proofs in Analysis by Kenneth R. Meyer (English) Paperback Book

The Nile on
Computer Aided Proofs in Analysis by Kenneth R. Meyer, Dieter S. Schmidt

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.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher Description

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.

Notes

Springer Book Archives

Table of Contents

The conversion of a high order programming language from floating-point arithmetic to range arithmetic.- Sylvester's form of the resultant and the matrix-triangularization subresultant PRS method.- Computing the Tsirelson space norm.- Floating-point systems for theorem proving.- Computer algebra and indefinite integrals.- A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics.- On a computer algebra aided proof in bifurcation theory.- MACSYMA program to implement averaging using elliptic functions.- Validated anti-derivatives.- A toolbox for nonlinear dynamics.- Computer assisted proofs of stability of matter.- Accurate strategies for K.A.M. bounds and their implementation.- A software tool for analysis in function spaces.- Equation solving by symbolic computation.- Deciding a class of Euclidean geometry theorems with Buchberger's algorithm.- Lie transform tutorial — II.- Interval tools for computer aided proofs in analysis.- Tools for mathematical computation.- Shadowing trajectories of dynamical systems.- Transformation to versal normal form.- Computer assisted lower bounds for atomic energies.

Promotional

Springer Book Archives

Long Description

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

Details ISBN146139094X Short Title COMPUTER AIDED PROOFS IN ANALY Language English ISBN-10 146139094X ISBN-13 9781461390947 Media Book Format Paperback Series Number 28 Pages 251 Year 2011 Publication Date 2011-12-16 Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States Edited by Kenneth R. Meyer Illustrations XVI, 251 p. DOI 10.1007/978-1-4613-9092-3 AU Release Date 2011-12-16 NZ Release Date 2011-12-16 US Release Date 2011-12-16 UK Release Date 2011-12-16 Author Dieter S. Schmidt Publisher Springer-Verlag New York Inc. Edition Description Softcover reprint of the original 1st ed. 1991 Series The IMA Volumes in Mathematics and its Applications Alternative 9780387974262 DEWEY 519.40285 Audience Professional & Vocational Country of Origin NL Product Class Description Mathematics
We\'ve got this

At The Nile, if you\'re looking for it, we\'ve got it.
With fast shipping, low prices, friendly service and well over a million items - you\'re bound to find what you want, at a price you\'ll love!

TheNile_Item_ID:96328813;