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Galois Theories Of Linear Difference Equations An Introduction
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Book Synopsis Galois Theories of Linear Difference Equations: An Introduction by : Charlotte Hardouin
Download or read book Galois Theories of Linear Difference Equations: An Introduction written by Charlotte Hardouin and published by American Mathematical Soc.. This book was released on 2016-04-27 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of three introductory tutorials coming out of three courses given at the CIMPA Research School “Galois Theory of Difference Equations” in Santa Marta, Columbia, July 23–August 1, 2012. The aim of these tutorials is to introduce the reader to three Galois theories of linear difference equations and their interrelations. Each of the three articles addresses a different galoisian aspect of linear difference equations. The authors motivate and give elementary examples of the basic ideas and techniques, providing the reader with an entry to current research. In addition each article contains an extensive bibliography that includes recent papers; the authors have provided pointers to these articles allowing the interested reader to explore further.
Book Synopsis Galois Theory of Difference Equations by : Marius van der Put
Download or read book Galois Theory of Difference Equations written by Marius van der Put and published by Springer. This book was released on 2006-11-14 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.
Book Synopsis Galois Theory of Linear Differential Equations by : Marius van der Put
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 438 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
Book Synopsis Differential Galois Theory through Riemann-Hilbert Correspondence by : Jacques Sauloy
Download or read book Differential Galois Theory through Riemann-Hilbert Correspondence written by Jacques Sauloy and published by American Mathematical Soc.. This book was released on 2016-12-07 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Galois theory is an important, fast developing area which appears more and more in graduate courses since it mixes fundamental objects from many different areas of mathematics in a stimulating context. For a long time, the dominant approach, usually called Picard-Vessiot Theory, was purely algebraic. This approach has been extensively developed and is well covered in the literature. An alternative approach consists in tagging algebraic objects with transcendental information which enriches the understanding and brings not only new points of view but also new solutions. It is very powerful and can be applied in situations where the Picard-Vessiot approach is not easily extended. This book offers a hands-on transcendental approach to differential Galois theory, based on the Riemann-Hilbert correspondence. Along the way, it provides a smooth, down-to-earth introduction to algebraic geometry, category theory and tannakian duality. Since the book studies only complex analytic linear differential equations, the main prerequisites are complex function theory, linear algebra, and an elementary knowledge of groups and of polynomials in many variables. A large variety of examples, exercises, and theoretical constructions, often via explicit computations, offers first-year graduate students an accessible entry into this exciting area.
Book Synopsis Introduction to the Theory of Linear Partial Differential Equations by : J. Chazarain
Download or read book Introduction to the Theory of Linear Partial Differential Equations written by J. Chazarain and published by Elsevier. This book was released on 2011-08-18 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory of Linear Partial Differential Equations
Book Synopsis Galois Theory of Difference Equations by : Marius van der Put
Download or read book Galois Theory of Difference Equations written by Marius van der Put and published by . This book was released on 2014-01-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Linear Difference Equations by : Paul Mason Batchelder
Download or read book An Introduction to Linear Difference Equations written by Paul Mason Batchelder and published by . This book was released on 1927 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Symmetries and Integrability of Difference Equations by : Decio Levi
Download or read book Symmetries and Integrability of Difference Equations written by Decio Levi and published by Springer. This book was released on 2017-06-30 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers.
Book Synopsis Intrinsic Approach to Galois Theory of $q$-Difference Equations by : Lucia Di Vizio
Download or read book Intrinsic Approach to Galois Theory of $q$-Difference Equations written by Lucia Di Vizio and published by American Mathematical Society. This book was released on 2022-08-31 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Difference Equations by : Walter G. Kelley
Download or read book Difference Equations written by Walter G. Kelley and published by Academic Press. This book was released on 2001 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. * Phase plane analysis for systems of two linear equations * Use of equations of variation to approximate solutions * Fundamental matrices and Floquet theory for periodic systems * LaSalle invariance theorem * Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory * Appendix on the use of Mathematica for analyzing difference equaitons * Exponential generating functions * Many new examples and exercises
Book Synopsis Difference Equations by : Ronald E. Mickens
Download or read book Difference Equations written by Ronald E. Mickens and published by CRC Press. This book was released on 2015-03-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced to
Book Synopsis Difference Equations, Second Edition by : Ronald E. Mickens
Download or read book Difference Equations, Second Edition written by Ronald E. Mickens and published by CRC Press. This book was released on 2022-02-17 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.
Download or read book Galois' Dream written by Michio Kuga and published by . This book was released on 1993 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Arithmetic and Geometry over Local Fields by : Bruno Anglès
Download or read book Arithmetic and Geometry over Local Fields written by Bruno Anglès and published by Springer Nature. This book was released on 2021-03-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. The notes grew out of lectures held during the research program "Arithmetic and geometry of local and global fields" which took place at the Vietnam Institute of Advanced Study in Mathematics (VIASM) from June to August 2018. The authors, leading experts in the field, have put great effort into making the text as self-contained as possible, introducing the basic tools of the subject. The numerous concrete examples and suggested research problems will enable graduate students and young researchers to quickly reach the frontiers of this fascinating branch of mathematics.
Book Synopsis Transcendence in Algebra, Combinatorics, Geometry and Number Theory by : Alin Bostan
Download or read book Transcendence in Algebra, Combinatorics, Geometry and Number Theory written by Alin Bostan and published by Springer Nature. This book was released on 2021-11-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
Book Synopsis Disconjugacy and Oscillation Theory of Linear Differential and Difference Equations by : Lawrence Markus
Download or read book Disconjugacy and Oscillation Theory of Linear Differential and Difference Equations written by Lawrence Markus and published by . This book was released on 1956 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Difference Equations and Inequalities by : Ravi P. Agarwal
Download or read book Difference Equations and Inequalities written by Ravi P. Agarwal and published by CRC Press. This book was released on 2000-01-27 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and
