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Intrinsic Approach to Galois Theory of $q$-Difference Equations
With a Preface to Part 4 by Anne Granier
Softcover ISBN: | 978-1-4704-5384-8 |
Product Code: | MEMO/279/1376 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
eBook ISBN: | 978-1-4704-7230-6 |
Product Code: | MEMO/279/1376.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-5384-8 |
eBook: ISBN: | 978-1-4704-7230-6 |
Product Code: | MEMO/279/1376.B |
List Price: | $170.00 $127.50 |
MAA Member Price: | $153.00 $114.75 |
AMS Member Price: | $136.00 $102.00 |
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Intrinsic Approach to Galois Theory of $q$-Difference Equations
With a Preface to Part 4 by Anne Granier
Softcover ISBN: | 978-1-4704-5384-8 |
Product Code: | MEMO/279/1376 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
eBook ISBN: | 978-1-4704-7230-6 |
Product Code: | MEMO/279/1376.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-5384-8 |
eBook ISBN: | 978-1-4704-7230-6 |
Product Code: | MEMO/279/1376.B |
List Price: | $170.00 $127.50 |
MAA Member Price: | $153.00 $114.75 |
AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 279; 2022; 70 ppMSC: Primary 39; 12
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Table of Contents
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Chapters
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Introduction
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1. Introduction to $q$-difference equations
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1. Generalities on $q$-difference modules
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2. Formal classification of singularities
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2. Triviality of $q$-difference equations with rational coefficients
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3. Rationality of solutions, when $q$ is an algebraic number
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4. Rationality of solutions when $q$ is transcendental
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5. A unified statement
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3. Intrinsic Galois groups
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6. The intrinsic Galois group
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7. The parametrized intrinsic Galois group
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4. Comparison with the non-linear theory
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8. Preface to Part 4. The Galois $D$-groupoid of a $q$-difference system, by Anne Granier
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9. Comparison of the parametrized intrinsic Galois group with the Galois $D$-groupoid
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 279; 2022; 70 pp
MSC: Primary 39; 12
-
Chapters
-
Introduction
-
1. Introduction to $q$-difference equations
-
1. Generalities on $q$-difference modules
-
2. Formal classification of singularities
-
2. Triviality of $q$-difference equations with rational coefficients
-
3. Rationality of solutions, when $q$ is an algebraic number
-
4. Rationality of solutions when $q$ is transcendental
-
5. A unified statement
-
3. Intrinsic Galois groups
-
6. The intrinsic Galois group
-
7. The parametrized intrinsic Galois group
-
4. Comparison with the non-linear theory
-
8. Preface to Part 4. The Galois $D$-groupoid of a $q$-difference system, by Anne Granier
-
9. Comparison of the parametrized intrinsic Galois group with the Galois $D$-groupoid
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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