Galois Theory of Linear Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Theory of Linear Differential Equations write by Marius van der Put. This book was released on 2012-12-06. Galois Theory of Linear Differential Equations available in PDF, EPUB and Kindle. 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
Algebraic Groups and Differential Galois Theory
Algebraic Groups and Differential Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Groups and Differential Galois Theory write by Teresa Crespo. This book was released on 2011. Algebraic Groups and Differential Galois Theory available in PDF, EPUB and Kindle. Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory. This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory of linear differential equations, in a self-contained way. The needed prerequisites from algebraic geometry and algebraic groups are contained in the first two parts of the book. The third part includes Picard-Vessiot extensions, the fundamental theorem of Picard-Vessiot theory, solvability by quadratures, Fuchsian equations, monodromy group and Kovacic's algorithm. Over one hundred exercises will help to assimilate the concepts and to introduce the reader to some topics beyond the scope of this book. This book is suitable for a graduate course in differential Galois theory. The last chapter contains several suggestions for further reading encouraging the reader to enter more deeply into different topics of differential Galois theory or related fields.
Galois Theory of Algebraic and Linear Differential Equations
Galois Theory of Algebraic and Linear Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Theory of Algebraic and Linear Differential Equations write by T. G. Weale. This book was released on 1951. Galois Theory of Algebraic and Linear Differential Equations available in PDF, EPUB and Kindle.
Galois Theories of Linear Difference Equations: An Introduction
Galois Theories of Linear Difference Equations: An Introduction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Theories of Linear Difference Equations: An Introduction write by Charlotte Hardouin. This book was released on 2016-04-27. Galois Theories of Linear Difference Equations: An Introduction available in PDF, EPUB and Kindle. 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.
Lectures on Differential Galois Theory
Lectures on Differential Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Differential Galois Theory write by Andy R. Magid. This book was released on 1994. Lectures on Differential Galois Theory available in PDF, EPUB and Kindle. Differential Galois theory studies solutions of differential equations over a differential base field. In much the same way that ordinary Galois theory is the theory of field extensions generated by solutions of (one variable) polynomial equations, differential Galois theory looks at the nature of the differential field extension generated by the solution of differential equations. An additional feature is that the corresponding differential Galois groups (of automorphisms of the extension fixing the base and commuting with the derivation) are algebraic groups. This book deals with the differential Galois theory of linear homogeneous differential equations, whose differential Galois groups are algebraic matrix groups. In addition to providing a convenient path to Galois theory, this approach also leads to the constructive solution of the inverse problem of differential Galois theory for various classes of algebraic groups. Providing a self-contained development and many explicit examples, this book provides a unique approach to differential Galois theory and is suitable as a textbook at the advanced graduate level.
