Galois Theory of Linear Differential Equations (Grundlehren der mathematischen Wissenschaften)

Galois Theory of Linear Differential Equations by Michael F. Singer, , Hardback; Grundlehren Der Mathematischen Wissenschaften (Springer.
Table of contents

• Galois Theory of Linear Differential Equations : Marius van der Put :
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• Books written or edited by Michael F. Singer

Introduction to Real Analysis Donald R. Think Bayes Allen Donwey. Elementary Classical Analysis Jerrold E. Numerical Linear Algebra Lloyd N. Asymptotic Methods in Analysis N. Algebra and Analysis Geoffrey C.

Este no es un libro de mates: Calculus of a Single Variable Ron Larson. Applied Analysis Cornelius Lanczos. Visual Complex Analysis Tristan Needham. Calculus of Several Variables Serge Lang.

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Other books in this series. Algebraic Number Theory E. Tauberian Theory Jacob Korevaar. Categories and Sheaves Masaki Kashiwara. Fluctuations in Markov Processes Stefano Olla. Space-Filling Curves Hans Sagan.

Galois Theory of Linear Differential Equations : Marius van der Put :

Geometry of Algebraic Curves Enrico Arbarello. Back cover copy Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.

A large number of aspects are presented: The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students. Table of contents Algebraic Theory. Operators of Order Two. Review Text From the reviews: The book is in fact already becoming a standard reference, not only for differential Galois theory proper, but also for the many areas which have accompanied its recent growth MR [13] Andy R.

A differential algebraic approach. MR [15] Hideyuki Matsumura , Commutative ring theory , 2nd ed. Translated from the Japanese by M. MR [19] Maxwell Rosenlicht , On the explicit solvability of certain transcendental equations , Inst. MR , Seidenberg , Derivations and valuation rings , Contributions to algebra collection of papers dedicated to Ellis Kolchin , Academic Press, New York, , pp. Singer , Galois theory of linear differential equations , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

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6. Galois theory and algorithms for linear differential equations - ScienceDirect;
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MR [28] Michael F. Singer , Solutions of linear differential equations in function fields of one variable , Proc. Singer , Algebraic relations among solutions of linear differential equations , Trans. Singer , An outline of differential Galois theory , Computer algebra and differential equations, Comput. Springer , Linear algebraic groups , 2nd ed. Differential function fields and moduli of algebraic varieties , volume of Lecture Notes in Mathematics.

Cambridge University Press, MR [4] L.

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Uniform approximation of Abhyankar valuation ideals in smooth function fields. Springer-Verlag, New York, A course on constructive desingularisation and equivariance. In Resolution of Singularities , number in Progress in Mathematics, pages Tordesillas , 2 2: Algebraic Geometry , volume 52 of Graduate Texts in Mathematics. Differential Algebra and Algebraic Groups.

Academic Press New-York, London , Algebra , volume of Graduate Texts in Mathematics. Lectures on Differential Galois Theory , volume 7, Univ.

Books written or edited by Michael F. Singer

Commutative ring theory , volume 8 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, On the explicit solvability of certain transcendental equations. An analogue of l'Hospital's rule. The rank of a Hardy field. Derivations and valuation rings. In Contributions to algebra collection of papers dedicated to Ellis Kolchin , pages Academic Press, New York, Topics in Galois theory , volume 1 of Research Notes in Mathematics.

An outline of differential Galois theory.