Algebraic and Symbolic Computation Methods in Dynamical Systems

Download Algebraic and Symbolic Computation Methods in Dynamical Systems PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030383563
Total Pages : 320 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!


Book Synopsis Algebraic and Symbolic Computation Methods in Dynamical Systems by : Alban Quadrat

Download or read book Algebraic and Symbolic Computation Methods in Dynamical Systems written by Alban Quadrat and published by Springer Nature. This book was released on 2020-05-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

Differential Equations with Symbolic Computation

Download Differential Equations with Symbolic Computation PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3764374292
Total Pages : 374 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!


Book Synopsis Differential Equations with Symbolic Computation by : Dongming Wang

Download or read book Differential Equations with Symbolic Computation written by Dongming Wang and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.

Symbolic Methods in Control System Analysis and Design

Download Symbolic Methods in Control System Analysis and Design PDF Online Free

Author :
Publisher : IET
ISBN 13 : 9780852969434
Total Pages : 424 pages
Book Rating : 4.9/5 (694 download)

DOWNLOAD NOW!


Book Synopsis Symbolic Methods in Control System Analysis and Design by : N. Munro

Download or read book Symbolic Methods in Control System Analysis and Design written by N. Munro and published by IET. This book was released on 1999 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifteen contributions provide an up-to-date treatment of issues in system modeling, system analysis, design and synthesis methods, and nonlinear systems. Coverage includes the application of multidimensional Laplace transforms to the modeling of nonlinear elements, a survey of customized computer algebra modeling programs for multibody dynamical systems, robust control of linear systems using a new linear programming approach, the development and testing of a new branch-and-bound algorithm fir global optimization using symbolic algebra techniques, and dynamic sliding mode control design using symbolic algebra tools.

Computer Algebra Methods for Equivariant Dynamical Systems

Download Computer Algebra Methods for Equivariant Dynamical Systems PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540465197
Total Pages : 163 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!


Book Synopsis Computer Algebra Methods for Equivariant Dynamical Systems by : Karin Gatermann

Download or read book Computer Algebra Methods for Equivariant Dynamical Systems written by Karin Gatermann and published by Springer. This book was released on 2007-05-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.

Symbolic Computation

Download Symbolic Computation PDF Online Free

Author :
Publisher : SIAM
ISBN 13 : 0898712394
Total Pages : 191 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!


Book Synopsis Symbolic Computation by : Robert Grossman

Download or read book Symbolic Computation written by Robert Grossman and published by SIAM. This book was released on 1989-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Computerized Symbolic Manipulation in Mechanics

Download Computerized Symbolic Manipulation in Mechanics PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3709130107
Total Pages : 265 pages
Book Rating : 4.7/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Computerized Symbolic Manipulation in Mechanics by : Edwin Kreuzer

Download or read book Computerized Symbolic Manipulation in Mechanics written by Edwin Kreuzer and published by Springer. This book was released on 2014-05-04 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present important software tools, basic concepts, methods, and highly sophisticated applications of computerized symbolic manipulation to mechanics problems. An overview about general-purpose symbolic software is followed by general guidelines how to develop and implement high-quality computer algebra code. The theoretical background including modeling techniques for mechanical systems is provided which allows for the computer aided generation of the symbolic equation of motion for multibody systems. It is shown how the governing equations for different types of problems in structural mechanics can be automatically derived and how to implement finite element techniques via computer algebra software. Perturbation methods as a very powerful approach for nonlinear problems are discussed in detail and are demonstrated for a number of applications. The applications covered in this book represent some of the most advanced topics in the rapidly growing field of research on symbolic computation.

Computational Methods in Commutative Algebra and Algebraic Geometry

Download Computational Methods in Commutative Algebra and Algebraic Geometry PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213116
Total Pages : 432 pages
Book Rating : 4.2/5 (131 download)

DOWNLOAD NOW!


Book Synopsis Computational Methods in Commutative Algebra and Algebraic Geometry by : Wolmer Vasconcelos

Download or read book Computational Methods in Commutative Algebra and Algebraic Geometry written by Wolmer Vasconcelos and published by Springer Science & Business Media. This book was released on 2004-05-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.

Computer Algebra and Symbolic Computation

Download Computer Algebra and Symbolic Computation PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1439863695
Total Pages : 323 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!


Book Synopsis Computer Algebra and Symbolic Computation by : Joel S. Cohen

Download or read book Computer Algebra and Symbolic Computation written by Joel S. Cohen and published by CRC Press. This book was released on 2002-07-19 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and

Elimination Methods

Download Elimination Methods PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783211832417
Total Pages : 268 pages
Book Rating : 4.8/5 (324 download)

DOWNLOAD NOW!


Book Synopsis Elimination Methods by : D. Wang

Download or read book Elimination Methods written by D. Wang and published by Springer Science & Business Media. This book was released on 2001-01-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Gröbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and applicable to many other problems. Suitable as a graduate text, this book offers an indispensable reference for everyone interested in mathematical computation, computer algebra (software), and systems of algebraic equations.

Challenging the Boundaries of Symbolic Computation

Download Challenging the Boundaries of Symbolic Computation PDF Online Free

Author :
Publisher : Imperial College Press
ISBN 13 : 9781848161313
Total Pages : 438 pages
Book Rating : 4.1/5 (613 download)

DOWNLOAD NOW!


Book Synopsis Challenging the Boundaries of Symbolic Computation by : Janet Carne

Download or read book Challenging the Boundaries of Symbolic Computation written by Janet Carne and published by Imperial College Press. This book was released on 2003 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers delivered at the International Mathematica Symposium 2003 OCo an interdisciplinary meeting bringing together users of Mathematica in research and education. It gathers research papers, reports on classroom practice, reports on the use of Mathematica in industry and commerce, and descriptions of fresh applications. List of contributors: J Nash, S Wolfram, R Maeder, B Buchberger and C McTague. Contents: Algebraic Computation; Applied Mathematics; Education; Physics; Pure Mathematics; Statistics and Probability; Visualisation; Miscellaneous. Readership: Users of Mathematica for research, education and industry; developers of Mathematica applications; users of symbolic computation methods."

Advances in the Design of Symbolic Computation Systems

Download Advances in the Design of Symbolic Computation Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3709165318
Total Pages : 270 pages
Book Rating : 4.7/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Advances in the Design of Symbolic Computation Systems by : Alfonso Miola

Download or read book Advances in the Design of Symbolic Computation Systems written by Alfonso Miola and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: New methodological aspects related to design and implementation of symbolic computation systems are considered in this volume aiming at integrating such aspects into a homogeneous software environment for scientific computation. The proposed methodology is based on a combination of different techniques: algebraic specification through modular approach and completion algorithms, approximated and exact algebraic computing methods, object-oriented programming paradigm, automated theorem proving through methods à la Hilbert and methods of natural deduction. In particular the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which supports the design and implementation issues, and reasoning capabilities supported by the whole framework are described.

An Introduction to Symbolic Dynamics and Coding

Download An Introduction to Symbolic Dynamics and Coding PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1108901964
Total Pages : 572 pages
Book Rating : 4.1/5 (89 download)

DOWNLOAD NOW!


Book Synopsis An Introduction to Symbolic Dynamics and Coding by : Douglas Lind

Download or read book An Introduction to Symbolic Dynamics and Coding written by Douglas Lind and published by Cambridge University Press. This book was released on 2021-01-21 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.

Computational Methods in Commutative Algebra and Algebraic Geometry

Download Computational Methods in Commutative Algebra and Algebraic Geometry PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 9783642589515
Total Pages : 0 pages
Book Rating : 4.5/5 (895 download)

DOWNLOAD NOW!


Book Synopsis Computational Methods in Commutative Algebra and Algebraic Geometry by : Wolmer Vasconcelos

Download or read book Computational Methods in Commutative Algebra and Algebraic Geometry written by Wolmer Vasconcelos and published by Springer. This book was released on 2004-06-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.

Computer Algebra in Scientific Computing

Download Computer Algebra in Scientific Computing PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642235670
Total Pages : 368 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!


Book Synopsis Computer Algebra in Scientific Computing by : Vladimir P. Gerdt

Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer Science & Business Media. This book was released on 2011-08-26 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.

Computer Aided Analysis and Optimization of Mechanical System Dynamics

Download Computer Aided Analysis and Optimization of Mechanical System Dynamics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642524656
Total Pages : 706 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!


Book Synopsis Computer Aided Analysis and Optimization of Mechanical System Dynamics by : E. J. Haug

Download or read book Computer Aided Analysis and Optimization of Mechanical System Dynamics written by E. J. Haug and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain lectures presented at the NATO-NSF-ARO sponsored Advanced Study I~stitute on "Computer Aided Analysis and Optimization of Mechanical System Dynamics" held in Iowa City, Iowa, 1-12 August, 1983. Lectures were presented by free world leaders in the field of machine dynamics and optimization. Participants in the Institute were specialists from throughout NATO, many of whom presented contributed papers during the Institute and all of whom participated actively in discussions on technical aspects of the subject. The proceedings are organized into five parts, each addressing a technical aspect of the field of computational methods in dynamic analysis and design of mechanical systems. The introductory paper presented first in the text outlines some of the numerous technical considerations that must be given to organizing effective and efficient computational methods and computer codes to serve engineers in dynamic analysis and design of mechanical systems. Two substantially different approaches to the field are identified in this introduction and are given attention throughout the text. The first and most classical approach uses a minimal set of Lagrangian generalized coordinates to formulate equations of motion with a small number of constraints. The second method uses a maximal set of cartesian coordinates and leads to a large number of differential and algebraic constraint equations of rather simple form. These fundamentally different approaches and associated methods of symbolic computation, numerical integration, and use of computer graphics are addressed throughout the proceedings.

Computer Algebra and Symbolic Computation

Download Computer Algebra and Symbolic Computation PDF Online Free

Author :
Publisher : A K PETERS
ISBN 13 : 9780367659479
Total Pages : 466 pages
Book Rating : 4.6/5 (594 download)

DOWNLOAD NOW!


Book Synopsis Computer Algebra and Symbolic Computation by : Joel S. Cohen

Download or read book Computer Algebra and Symbolic Computation written by Joel S. Cohen and published by A K PETERS. This book was released on 2020-09-30 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polynomial factorization. This book includes complexity analysis of algorithms and other recent developments. It is well-suited for self-study and can be used as the basis for a graduate course. Maintaining the style set by Elementary Algorithms, the author explains mathematical methods as needed while introducing advanced methods to treat complex operations.

Design and Implementation of Symbolic Computation Systems

Download Design and Implementation of Symbolic Computation Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540572725
Total Pages : 232 pages
Book Rating : 4.5/5 (727 download)

DOWNLOAD NOW!


Book Synopsis Design and Implementation of Symbolic Computation Systems by : John Fitch

Download or read book Design and Implementation of Symbolic Computation Systems written by John Fitch and published by Springer Science & Business Media. This book was released on 1993-09-02 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: DISCO 92 was held on the Newton Park campus of Bath College of Higher Education, England, April 13-15, 1992. Beside the formal lectures dedicated to design and implementation issues of computer algebra, there were several software demonstrations and an opportunity for system designers to compare systems. This volume presents the proceedings of the conference. It contains 18 papers on a variety of design and implementation issues. One general theme which clearly emerges is the need for interconnections between systems, as no one systems incorporates all the facilities that users want. Various effortsare being made to design such links, but generally in limited contexts (suchas the Maple project or the Posso project).