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Lecons Sur Les Systemes Dequations Aux Derivees Partielles
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Book Synopsis Leçons Sur L'intégration Des Équations Aux Dérivées Partielles Du Second Ordre À Deux Variables Indépendantes by : Edouard Goursat
Download or read book Leçons Sur L'intégration Des Équations Aux Dérivées Partielles Du Second Ordre À Deux Variables Indépendantes written by Edouard Goursat and published by . This book was released on 1898 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Systems of Partial Differential Equations and Lie Pseudogroups by : J. F. Pommaret
Download or read book Systems of Partial Differential Equations and Lie Pseudogroups written by J. F. Pommaret and published by CRC Press. This book was released on 1978 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Partial Differential Equations and Group Theory by : J.F. Pommaret
Download or read book Partial Differential Equations and Group Theory written by J.F. Pommaret and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential control thPory (the classical theory) studies input/output re lations defined by systems of ordinary differential equations (ODE). The various con cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.
Book Synopsis Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond by : Teo Mora
Download or read book Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond written by Teo Mora and published by Cambridge University Press. This book was released on 2016-04-01 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Book Synopsis Solving Polynomial Equation Systems by : Teo Mora
Download or read book Solving Polynomial Equation Systems written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
Book Synopsis Differential Systems by : Joseph Miller Thomas
Download or read book Differential Systems written by Joseph Miller Thomas and published by American Mathematical Soc.. This book was released on 1937-12-31 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to present the theory of systems of partial differential equations and the theory of Pfaffian systems so as to exhibit clearly the relations between them. In presenting the theory of Pfaffian systems, the author develops, in detail, the theories of Grassmann algebras and rings with differentiation. In particular, following Grassmann and E. Cartan, he introduces and freely uses what is now known as a ring of differential forms with functional coefficients. In presenting the theory of systems of partial differential equations, the author concentrates on the existence of solutions and methods of approximating them, rather than on their properties. The relations and similarities of two theories are displayed through the systematic use of various versions of the elimination method.
Book Synopsis Topics In Soliton Theory And Exactly Solvable Nonlinear Equations: Proceedings Of The Conference On Nonlinear Evolution Equations, Solitons And The Inverse Scattering Transform by : Mark J Ablowitz
Download or read book Topics In Soliton Theory And Exactly Solvable Nonlinear Equations: Proceedings Of The Conference On Nonlinear Evolution Equations, Solitons And The Inverse Scattering Transform written by Mark J Ablowitz and published by World Scientific. This book was released on 1987-06-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this volume is to show how the various successful models of nuclear structure complement one another and can be realised as approximations, appropriate in different situations, to an underlying non-relativistic many-nucleon theory of nuclei.In common with the previous volume on Foundational Models, it starts with a broad survey of the relevant nuclear structure data and proceeds with two dominant themes. The first is to review the many-body theories and successful phenomenological models with collective and nucleon degrees of freedom. The second is to show how these models relate to the underlying many-nucleon shell model in its various coupling schemes.
Book Synopsis Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 by : Dorothy L. Bernstein
Download or read book Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 written by Dorothy L. Bernstein and published by Princeton University Press. This book was released on 2016-03-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Existence Theorems in Partial Differential Equations. (AM-23), Volume 23, will be forthcoming.
Book Synopsis Applied Abstract Algebra by : Rudolf Lidl
Download or read book Applied Abstract Algebra written by Rudolf Lidl and published by Springer Science & Business Media. This book was released on 1997-11-25 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to junior and senior undergraduate students, this survey contains many examples, solved exercises, sets of problems, and parts of abstract algebra of use in many other areas of discrete mathematics. Although this is a mathematics book, the authors have made great efforts to address the needs of users employing the techniques discussed. Fully worked out computational examples are backed by more than 500 exercises throughout the 40 sections. This new edition includes a new chapter on cryptology, and an enlarged chapter on applications of groups, while an extensive chapter has been added to survey other applications not included in the first edition. The book assumes knowledge of the material covered in a course on linear algebra and, preferably, a first course in (abstract) algebra covering the basics of groups, rings, and fields.
Book Synopsis Relativity and Scientific Computing by : Friedrich W Hehl
Download or read book Relativity and Scientific Computing written by Friedrich W Hehl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.
Book Synopsis Selected Works of Wen-Tsun Wu by : Wen-tsun Wu
Download or read book Selected Works of Wen-Tsun Wu written by Wen-tsun Wu and published by World Scientific. This book was released on 2008 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book presents all the major works of Professor Wen-Tsun Wu, a widely respected Chinese mathematician who has made great contributions in the fields of topology and computer mathematics throughout his research career. The book covers Wu's papers from 1948 to 2005 and provides a comprehensive overview of his major achievements in algebraic topology, computer mathematics, and history of ancient Chinese mathematics. In algebraic topology, he discovered Wu classes and Wu formulas for Stiefel-Whitney classes of sphere bundles or differential manifolds, established an imbedding theory with an application to the layout problem of integrated circuits, and introduced the I*-functors which turned the "rational homotopy theory" created by D Sullivan into algorithmic form. In computer mathematics, he discovered Wu's method of mechanical theorem proving by means of computers, which has been applied to prove and even discover on the computers hundreds of non-trivial theorems in various kinds of elementary and differential geometries. He also discovered a new effective method of polynomial equations solving, which has been used to solve problems raised from the fields of robotics and mechanisms, CAGD, computer vision, theoretic physics, celestial mechanics, and chemical equilibrium computation.
Book Synopsis Lie's Structural Approach to PDE Systems by : Olle Stormark
Download or read book Lie's Structural Approach to PDE Systems written by Olle Stormark and published by Cambridge University Press. This book was released on 2000-06-15 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
Author :Library of Congress. Copyright Office Publisher :Copyright Office, Library of Congress ISBN 13 : Total Pages :1602 pages Book Rating :4.F/5 ( download)
Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1972 with total page 1602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Algebra in Scientific Computing CASC 2001 by : Viktor G. Ganzha
Download or read book Computer Algebra in Scientific Computing CASC 2001 written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.
Download or read book Gröbner Bases written by Thomas Becker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word "algorithm" is actually a westernization of al-Khowarizmi's name, while "algebra" derives from "al-jabr," a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method.
