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Differential Equations From The Algebraic Standpoint
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Book Synopsis Differential Equations from the Algebraic Standpoint by : Joseph Fels Ritt
Download or read book Differential Equations from the Algebraic Standpoint written by Joseph Fels Ritt and published by American Mathematical Soc.. This book was released on 1932-12-31 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book can be viewed as a first attempt to systematically develop an algebraic theory of nonlinear differential equations, both ordinary and partial. The main goal of the author was to construct a theory of elimination, which ``will reduce the existence problem for a finite or infinite system of algebraic differential equations to the application of the implicit function theorem taken with Cauchy's theorem in the ordinary case and Riquier's in the partial.'' In his 1934 review of the book, J. M. Thomas called it ``concise, readable, original, precise, and stimulating'', and his words still remain true. A more fundamental and complete account of further developments of the algebraic approach to differential equations is given in Ritt's treatise Differential Algebra, written almost 20 years after the present work (Colloquium Publications, Vol. 33, American Mathematical Society, 1950).
Book Synopsis Differential Equations from the Algebraic Standpoint by : Fels Ritt Joseph
Download or read book Differential Equations from the Algebraic Standpoint written by Fels Ritt Joseph and published by Andesite Press. This book was released on 2015-08-09 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Differential Equations from the Algebraic Standpoint, by Joseph Fels Ritt by : Joseph Fels Ritt
Download or read book Differential Equations from the Algebraic Standpoint, by Joseph Fels Ritt written by Joseph Fels Ritt and published by . This book was released on with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations from the Algebraic Standpoint - Primary Source Edition by : Fels Ritt Joseph.
Download or read book Differential Equations from the Algebraic Standpoint - Primary Source Edition written by Fels Ritt Joseph. and published by Nabu Press. This book was released on 2014-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Book Synopsis Arithmetic Differential Equations by : Alexandru Buium
Download or read book Arithmetic Differential Equations written by Alexandru Buium and published by American Mathematical Soc.. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.
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 Algebraic and Algorithmic Aspects of Differential and Integral Operators by : Moulay Barkatou
Download or read book Algebraic and Algorithmic Aspects of Differential and Integral Operators written by Moulay Barkatou and published by Springer. This book was released on 2014-02-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, AADIOS 2012, held at the Applications of Computer Algebra Conference in Sofia, Bulgaria, on June 25-28, 2012. The total of 9 papers presented in this volume consists of 2 invited papers and 7 regular papers which were carefully reviewed and selected from 13 submissions. The topics of interest are: symbolic computation for operator algebras, factorization of differential/integral operators, linear boundary problems and green's operators, initial value problems for differential equations, symbolic integration and differential galois theory, symbolic operator calculi, algorithmic D-module theory, rota-baxter algebra, differential algebra, as well as discrete analogs and software aspects of the above.
Book Synopsis First Order Algebraic Differential Equations by : M. Matsuda
Download or read book First Order Algebraic Differential Equations written by M. Matsuda and published by Springer. This book was released on 2006-11-15 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Algebra by : Joseph Fels Ritt
Download or read book Differential Algebra written by Joseph Fels Ritt and published by American Mathematical Soc.. This book was released on 1950-12-31 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gigantic task undertaken by J. F. Ritt and his collaborators in the 1930's was to give the classical theory of nonlinear differential equations, similar to the theory created by Emmy Noether and her school for algebraic equations and algebraic varieties. The current book presents the results of 20 years of work on this problem. The book quickly became a classic, and thus far, it remains one of the most complete and valuable accounts of differential algebra and its applications.
Book Synopsis Differential Algebra & Algebraic Groups by :
Download or read book Differential Algebra & Algebraic Groups written by and published by Academic Press. This book was released on 1973-06-15 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Algebra & Algebraic Groups
Book Synopsis Differential Algebra and Related Topics by : Li Guo
Download or read book Differential Algebra and Related Topics written by Li Guo and published by World Scientific. This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential algebra explores properties of solutions of systems of (ordinary or partial, linear or non-linear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F Ritt and Ellis R Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration and symmetry analysis of differential equations. These proceedings consist of tutorial and survey papers presented at the Second International Workshop on Differential Algebra and Related Topics at Rutgers University, Newark in April 2007. As a sequel to the proceedings of the First International Workshop, this volume covers more related subjects, and provides a modern and introductory treatment to many facets of differential algebra, including surveys of known results, open problems, and new, emerging, directions of research. It is therefore an excellent companion and reference text for graduate students and researchers.
Book Synopsis Differential Algebra And Related Topics - Proceedings Of The International Workshop by : Phyllis J Cassidy
Download or read book Differential Algebra And Related Topics - Proceedings Of The International Workshop written by Phyllis J Cassidy and published by World Scientific. This book was released on 2002-05-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential algebra explores properties of solutions to systems of (ordinary or partial, linear or nonlinear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F Ritt and Ellis R Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration, and symmetry analysis of differential equations. This volume includes tutorial and survey papers presented at workshop.
Book Synopsis Differential Algebra by : Joseph Fels Ritt
Download or read book Differential Algebra written by Joseph Fels Ritt and published by . This book was released on 1963 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometrical Foundations of Robotics by : J. M. Selig
Download or read book Geometrical Foundations of Robotics written by J. M. Selig and published by World Scientific. This book was released on 2000 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of talks presented at the 1998 IEEE International Conference on Robotics and Automation. Broadly, the meeting discussed the application of modern geometrical methods to problems in robotics. There are now a few textbooks in this area and more papers in the literature. The aim of this book is to introduce these ideas, their simplicity and power, to a wider audience. The first three chapters give an introduction to the Lie group and Lie algebras. The focus is on the group of rigid body transformations in space, namely the Lie group which is fundamental to robotics. The following chapters provide an overview of some of the most up-to-date work in the field of geometrical methods in robotics and have been written by some of the leading researchers in the field. The applications addressed cover the design of robot kinematics, the analysis of singularities in robots and mechanisms, and a geometric view of some computational issues.
Book Synopsis Solving Polynomial Equation Systems by :
Download or read book Solving Polynomial Equation Systems written by and published by Cambridge University Press. This book was released on with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sammlung written by Wen-tsn 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 Complex Analytic Desingularization by : José Manuel Aroca
Download or read book Complex Analytic Desingularization written by José Manuel Aroca and published by Springer. This book was released on 2018-11-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: [From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry. In addition, the book contains an elegant presentation of all the prerequisites of complex analytic geometry, including basic definitions and theorems needed to follow the development of ideas and proofs. Its epilogue presents the use of similar ideas in the resolution of singularities of complex analytic foliations. This text will be particularly useful and interesting for readers of the younger generation who wish to understand one of the most fundamental results in algebraic and analytic geometry and invent possible extensions and applications of the methods created to prove it.
