Elimination Theory
DOWNLOAD
Download Elimination Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Elimination Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Elimination Methods
DOWNLOAD
Author : D. Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elimination Methods written by D. Wang 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.
The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L. van der Waerden's elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil's hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar's sug gestion to "eliminate the eliminators of elimination theory. " The renaissance and recognition of polynomial elimination owe much to the advent and advance of mod ern computing technology, based on which effective algorithms are implemented and applied to diverse problems in science and engineering. In the last decade, both theorists and practitioners have more and more realized the significance and power of elimination methods and their underlying theories. Active and extensive research has contributed a great deal of new developments on algorithms and soft ware tools to the subject, that have been widely acknowledged. Their applications have taken place from pure and applied mathematics to geometric modeling and robotics, and to artificial neural networks. This book provides a systematic and uniform treatment of elimination algo rithms that compute various zero decompositions for systems of multivariate poly nomials. The central concepts are triangular sets and systems of different kinds, in terms of which the decompositions are represented. The prerequisites for the concepts and algorithms are results from basic algebra and some knowledge of algorithmic mathematics.
Sparse Elimination Theory
DOWNLOAD
Author : Bernd Sturmfels
language : en
Publisher:
Release Date : 1991
Sparse Elimination Theory written by Bernd Sturmfels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Elimination Methods In Polynomial Computer Algebra
DOWNLOAD
Author : V. Bykov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elimination Methods In Polynomial Computer Algebra written by V. Bykov 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.
The subject of this book is connected with a new direction in mathematics, which has been actively developed over the last few years, namely the field of polynomial computer algebra, which lies at the intersection point of algebra, mathematical analysis and programming. There were several incentives to write the book. First of all, there has lately been a considerable interest in applied nonlinear problems characterized by multiple sta tionary states. Practical needs have then in their turn led to the appearance of new theoretical results in the analysis of systems of nonlinear algebraic equations. And finally, the introduction of various computer packages for analytic manipulations has made it possible to use complicated elimination-theoretical algorithms in prac tical research. The structure of the book is accordingly represented by three main parts: Mathematical results driven to constructive algorithms, computer algebra realizations of these algorithms, and applications. Nonlinear systems of algebraic equations arise in diverse fields of science. In particular, for processes described by systems of differential equations with a poly nomial right hand side one is faced with the problem of determining the number (and location) of the stationary states in certain sets.
Elimination Practice
DOWNLOAD
Author : Dongming Wang
language : en
Publisher: World Scientific
Release Date : 2004
Elimination Practice written by Dongming Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
Polynomial Elimination at Work; The Epsilon Library; The CharSets Package; The TriSys and SiSys Modules; The GEOTHER Environment; Relevant Elimination Tools; Solving Polynomial Systems; Automated Theorem Proving and Discovering in Geometry; Symbolic Geometric Computation; Selected Problems in Computer Mathematics.
Formal Algorithmic Elimination For Pdes
DOWNLOAD
Author : Daniel Robertz
language : en
Publisher: Springer
Release Date : 2014-10-13
Formal Algorithmic Elimination For Pdes written by Daniel Robertz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-13 with Mathematics categories.
Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions. After giving a detailed introduction to Janet bases and Thomas decomposition, the problem of finding an implicit description of certain sets of analytic functions in terms of differential equations is addressed. Effective methods of varying generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how the symbolic solution of partial differential equations profits from the study of the implicitization problem. For instance, certain families of exact solutions of the Navier-Stokes equations can be computed.
Quantifier Elimination And Cylindrical Algebraic Decomposition
DOWNLOAD
Author : Bob F. Caviness
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantifier Elimination And Cylindrical Algebraic Decomposition written by Bob F. Caviness 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 Computers categories.
George Collins’ discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the-art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. It contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area including Tarski’s landmark paper as well as a survey outlining the developments in CAD based QE that have taken place in the last twenty years.
An Elimination Theory For Differential Algebra
DOWNLOAD
Author : Abraham Seidenberg
language : en
Publisher:
Release Date : 1956
An Elimination Theory For Differential Algebra written by Abraham Seidenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Algebraic fields categories.
Primitive Polynomial Remainder Sequences In Elimination Theory
DOWNLOAD
Author : Michael Kalkbrener
language : en
Publisher:
Release Date : 1992
Primitive Polynomial Remainder Sequences In Elimination Theory written by Michael Kalkbrener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Theory And Truth
DOWNLOAD
Author : Lawrence Sklar
language : en
Publisher: Oxford University Press, USA
Release Date : 2000
Theory And Truth written by Lawrence Sklar and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Knowledge, Theory of categories.
Skeptics have cast doubt on the idea that scientific theories give us a true picture of an objective world. Lawrence Sklar examines three kinds of skeptical arguments about scientific truth, and explores the important role they play within foundational science itself. Sklar demonstrates that these kinds of philosophical critique are employed within science, and reveals the clear difference between how they operate in a scientific context and more abstract philosophical contexts. The underlying theme of Theory and Truth is that science and philosophy are essential to one another. Sklar advances the claim that one cannot understand the methods of science without a comprehension of philosophy, and one cannot fruitfully pursue philosophy of science without understanding fundamental science as well.
Elimination Practice
DOWNLOAD
Author : Dongming Wang
language : en
Publisher: World Scientific
Release Date : 2004-02-19
Elimination Practice written by Dongming Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-19 with Mathematics categories.
With a software library included, this book provides an elementary introduction to polynomial elimination in practice. The library Epsilon, implemented in Maple and Java, contains more than 70 well-documented functions for symbolic elimination and decomposition with polynomial systems and geometric reasoning. The book presents the functionality, implementation, and performance of Epsilon and demonstrates the usefulness of the elimination tool by a number of selected applications, together with many examples and illustrations. The reader will find Epsilon an efficient tool, applicable to a wide range of problems in science, engineering, and industry, and this book an accessible exposition and a valuable reference for elimination theory, methods, and practice. Contents:Polynomial Elimination at WorkThe Epsilon LibraryThe CharSets PackageThe TriSys and SiSys ModulesThe GEOTHER EnvironmentRelevant Elimination ToolsSolving Polynomial SystemsAutomated Theorem Proving and Discovering in GeometrySymbolic Geometric ComputationSelected Problems in Computer Mathematics Readership: Researchers and graduate students in symbolic mathematical computation, geometric reasoning and modeling, as well as mathematical software engineers. Keywords:Symbolic Computation;Mathematical Software;Elimination Method;Polynomial System;Computer Algebra;Geometric Reasoning;Surface ModelingReviews:“This book is a treasure … it will be welcomed by all those who are active in the area of elimination methods and will also attract new people to the exciting field of elimination methods, which is one of the oldest and, at the same time, one of the most topical areas in mathematics with a high future potential in all other areas of mathematics as well as in a wide range of applications in science, engineering, economy, etc.”Bruno Buchberger Professor of Computer Mathematics Johannes Kepler University, Austria