Download or read book Sur la Th orie Des quations Diff rentielles Lin aires written by Gaston Floquet and published by . This book was released on 1879 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Journal of Mathematics written by and published by . This book was released on 1886 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Download or read book Selected Works of Ellis Kolchin with Commentary written by Ellis Robert Kolchin and published by American Mathematical Soc.. This book was released on 1999 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a "new geometry" that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.
Download or read book Galois Theory of Linear Differential Equations written by Marius van der Put and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews
Download or read book Science Progress written by and published by . This book was released on 1921 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Progress in the Twentieth Century written by and published by . This book was released on 1921 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Progress Vol XV No 59 January 1921 written by Ronald Ross,MD Editor Science Progress and published by . This book was released on 1921 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Present Status of Integral Equations written by Harold Thayer Davis and published by Bloomington, Ind. : s.n.. This book was released on 1926 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ordinary Differential Equations written by Edward Lindsay Ince and published by . This book was released on 1927 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 1913 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acta Mathematica written by and published by . This book was released on 1891 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Fifth International Congress of Mathematicians written by Ernest William Hobson and published by . This book was released on 1913 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Atti Del Congresso Internazionale Dei Matematici written by and published by . This book was released on 1913 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Revue Semestrielle Des Publications Math matiques written by and published by . This book was released on 1927 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Basic Theory of Ordinary Differential Equations written by Po-Fang Hsieh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.
Download or read book The Monodromy Group written by Henryk Zoladek and published by Springer Science & Business Media. This book was released on 2006-08-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.
