Cantitate/Preț
Produs
Total produse
Vezi coșul
Galois Theory of Linear Differential Equations de Marius van der Put

Galois Theory of Linear Differential Equations: Grundlehren der mathematischen Wissenschaften, cartea 328

Autor Marius van der Put, Michael F. Singer
en Limba Engleză Paperback – 23 oct 2012
Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.
A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. 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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 76628 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 23 oct 2012 76628 lei  6-8 săpt.
Hardback (1) 77222 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 21 ian 2003 77222 lei  6-8 săpt.

Din seria Grundlehren der mathematischen Wissenschaften

  • Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I: Elementare Differentialgeometrie
    Preț: 35382 lei
  • 18% Abstract Harmonic Analysis: Volume I: Structure of Topological Groups Integration Theory Group Representations
    Preț: 71705 lei
  • Analytische Stellenalgebren
    Preț: 41020 lei
  • 24% Riemann-Roch Algebra
    Preț: 58787 lei
  • 17% Sphere Packings, Lattices and Groups
    Preț: 49872 lei
  • 20% Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods
    Preț: 75323 lei
  • 20% Optimal Transport: Old and New
    Preț: 82472 lei
  • 24% p-Adic Lie Groups
    Preț: 63296 lei
  • Poisson Structures
    Preț: 33853 lei
  • 15% Quantitative Stochastic Homogenization and Large-Scale Regularity
    Preț: 57962 lei
  • 14% Loewner's Theorem on Monotone Matrix Functions
    Preț: 70218 lei
  • Grundprobleme der Mathematischen Theorie Elektromagnetischer Schwingungen
    Preț: 33301 lei
  • 15% Basic Number Theory
    Preț: 45964 lei
  • Vorlesungen Über Differentialgeometrie I: Elementare Differentialgeometrie
    Preț: 34637 lei
  • Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I: Elementare Differentialgeometrie
    Preț: 47061 lei
  • 15% Elementare Differentialgeometrie
    Preț: 43987 lei
  • Der Ricci-Kalkül: Eine Einführung in die neueren Methoden und Probleme der mehrdimensionalen Differentialgeometrie
    Preț: 44365 lei
  • 15% Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications
    Preț: 68845 lei
  • Der Ricci-Kalkül: Eine Einführung in die Neueren Methoden und Probleme der Mehrdimensionalen Differentialgeometrie
    Preț: 41102 lei
  • 15% Praxis der Konformen Abbildung
    Preț: 43160 lei
  • 15% The Differential Geometry of Finsler Spaces
    Preț: 51272 lei
  • 15% Absolute Analysis
    Preț: 57279 lei
  • Absolute Analysis
    Preț: 34336 lei
  • 18% Markov Chains: With Stationary Transition Probabilities
    Preț: 70681 lei
  • Markov Chains with Stationary Transition Probabilities
    Preț: 37693 lei
  • 15% Die innere Geometrie der metrischen Räume
    Preț: 44177 lei
  • 15% Grundzüge der Mathematischen Logik
    Preț: 46727 lei
  • Topologische Lineare Räume I
    Preț: 45130 lei
  • Die Grundlagen der Theorie der Markoffschen Prozesse
    Preț: 33887 lei
  • Vorlesungen über Funktionentheorie
    Preț: 35177 lei
  • Equations Differentielles Operationnelles: Et Problèmes aux Limites
    Preț: 47420 lei
  • 15% Vorlesungen Über Theoretische Mechanik
    Preț: 43479 lei
  • Hilbertsche Räume mit Kernfunktion
    Preț: 40785 lei
  • Linear Partial Differential Operators
    Preț: 37745 lei
  • Einführung in die Theorie der Speziellen Funktionen der Mathematischen Physik
    Preț: 40727 lei
  • 15% The Theory of Branching Processes
    Preț: 56439 lei
  • Methoden der Mathematischen Physik
    Preț: 48355 lei
  • Funktionalanalysis und Numerische Mathematik
    Preț: 35029 lei
  • Markov Processes: Volume II
    Preț: 37672 lei
  • Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik
    Preț: 40785 lei
  • 18% Quasiconformal Mappings in the Plane
    Preț: 70495 lei
  • Quasikonforme Abbildungen
    Preț: 44084 lei
  • Enumerability · Decidability Computability: An Introduction to the Theory of Recursive Functions
    Preț: 37540 lei
  • Jordan-Algebren
    Preț: 34934 lei

Preț: 76628 lei

Preț vechi: 93449 lei
-18% Nou

Puncte Express: 1149
Preț estimativ în valută:
14664€ • 15423$ • 12252£

Carte tipărită la comandă

Livrare economică 08-22 ianuarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783642629167
ISBN-10: 3642629164
Pagini: 460
Ilustrații: XVII, 438 p.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.64 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Grundlehren der mathematischen Wissenschaften

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Algebraic Theory.- 1 Picard-Vessiot Theory.- 2 Differential Operators and Differential Modules.- 3 Formal Local Theory.- 4 Algorithmic Considerations.- Analytic Theory.- 5 Monodromy, the Riemann-Hilbert Problem, and the Differential Galois Group.- 6 Differential Equations on the Complex Sphere and the Riemann-Hilbert Problem.- 7 Exact Asymptotics.- 8 Stokes Phenomenon and Differential Galois Groups.- 9 Stokes Matrices and Meromorphic Classification.- 10 Universal Picard-Vessiot Rings and Galois Groups.- 11 Inverse Problems.- 12 Moduli for Singular Differential Equations.- 13 Positive Characteristic.- Appendices.- A Algebraic Geometry.- A.1 Affine Varieties.- A. 1.1 Basic Definitions and Results.- A. 1.2 Products of Affine Varieties over k.- A. 1.3 Dimension of an Affine Variety.- A. 1.4 Tangent Spaces, Smooth Points, and Singular Points.- A.2 Linear Algebraic Groups.- A.2.1 Basic Definitions and Results.- A.2.2 The Lie Algebra of a Linear Algebraic Group.- A.2.3 Torsors.- B Tannakian Categories.- B.1 Galois Categories.- B.2 Affine Group Schemes.- B.3 Tannakian Categories.- C Sheaves and Cohomology.- C.l Sheaves: Definition and Examples.- C.1.1 Germs and Stalks.- C.1.2 Sheaves of Groups and Rings.- C. 1.3 From Presheaf to Sheaf.- C. 1.4 Moving Sheaves.- C.l.5 Complexes and Exact Sequences.- C.2 Cohomology of Sheaves.- C.2.1 The Idea and the Formahsm.- C.2.2 Construction of the Cohomology Groups.- C.2.3 More Results and Examples.- D Partial Differential Equations.- D. 1 The Ring of Partial Differential Operators.- D.2 Picard-Vessiot Theory and Some Remarks.- List of Notation.

Recenzii

From the reviews:
"This book offers a detailed and thorough introduction to Galois Theory for differential fields and its applications to linear differential equations." (A. Cap, Monatshefte für Mathematik, Vol. 145 (4), 2005)
"At last, a thorough exposition, including most of the facets it presents nowadays, of this beautiful analogue of the Galois theory of field extensions … . 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 … . Any … student working in these areas will benefit from this book, which clearly belongs to all mathematical libraries." (D.Bertrand, Jahresberichte der Deutschen Mathematiker Vereinigung, Vol. 106 (4), 2004)
"This book, which is organized like a textbook with exercises … is a definitive account of the Galois theory of linear differential equations. … In sum, the book is a modern, comprehensive, and mostly self-contained account of the Galois theory of linear differential equations. It should be considered the standard reference in the field." (Andy R. Magid, Zentralblatt MATH, Vol. 1036 (11), 2004)
"This is a great book, which will hopefully become a classic in the subject of differential Galois theory. … The book is carefully written: the authors have made a great effort to state the results in a language as common as possible, making use of specialized terminology only when strictly necessary. The material is introduced step by step and with a clear distinction of what is ‘common knowledge’ … and what is ‘specifically required’… ." (Pedro Fortuny Ayuso, Mathematical Reviews, 2004 c)
"This book is an introduction to the algebraic, algorithmic and analytic aspects of Galois theory of homogenous linear differential equations. … This book presents many of the recent results and approaches to this classical field. … This book is comprehensivelywritten and thorough … ." (Ernie Kalnin, New Zealand Mathematical Society Newsletter, Issue 90, April, 2004)
"The book is aimed to be an introduction into the theory and the authors attempted to make the subject accessible to anyone with a background in algebra and analysis … . It contains many examples and exercises. Without any doubt, the book is devoted to a very interesting and useful topic and can be highly recommended." (J.Synnatzschke, Zeitschrift für Analysis und ihre Anwendungen – ZAA, Vol. 22 (3), 2003)

Textul de pe ultima copertă

Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.
A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. 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.

Caracteristici

Includes supplementary material: sn.pub/extras