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Galois Theories of Linear Difference Equations: An Introduction
 
Charlotte Hardouin Institut de Mathématiques de Toulouse, Toulouse, France
Jacques Sauloy Institut de Mathématiques de Toulouse, Toulouse, France
Michael F. Singer North Carolina State University, Raleigh, NC
Galois Theories of Linear Difference Equations: An Introduction
Hardcover ISBN:  978-1-4704-2655-2
Product Code:  SURV/211
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-2940-9
Product Code:  SURV/211.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-1-4704-2655-2
eBook: ISBN:  978-1-4704-2940-9
Product Code:  SURV/211.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Galois Theories of Linear Difference Equations: An Introduction
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Galois Theories of Linear Difference Equations: An Introduction
Charlotte Hardouin Institut de Mathématiques de Toulouse, Toulouse, France
Jacques Sauloy Institut de Mathématiques de Toulouse, Toulouse, France
Michael F. Singer North Carolina State University, Raleigh, NC
Hardcover ISBN:  978-1-4704-2655-2
Product Code:  SURV/211
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-2940-9
Product Code:  SURV/211.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-1-4704-2655-2
eBook ISBN:  978-1-4704-2940-9
Product Code:  SURV/211.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 2112016; 171 pp
    MSC: Primary 05; 12; 20; 39

    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.

    Readership

    Graduate students and researchers interested in algebraic constructions in the theory of differential and difference equations.

  • Table of Contents
     
     
    • Articles
    • Michael F. Singer — Algebraic and algorithmic aspects of linear difference equations
    • Charlotte Hardouin — Galoisian approach to differential transcendence
    • Jacques Sauloy — Analytic study of $q$-difference equations
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2112016; 171 pp
MSC: Primary 05; 12; 20; 39

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.

Readership

Graduate students and researchers interested in algebraic constructions in the theory of differential and difference equations.

  • Articles
  • Michael F. Singer — Algebraic and algorithmic aspects of linear difference equations
  • Charlotte Hardouin — Galoisian approach to differential transcendence
  • Jacques Sauloy — Analytic study of $q$-difference equations
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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