Quadratic Number Fields
This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Springer Undergraduate Mathematics Series
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Prehistory
- 2 Quadratic Number Fields
- 3 The Modularity Theorem
- 4 Divisibility in Integral Domains
- 5 Arithmetic in some Quadratic Number Fields
- 6 Ideals in Quadratic Number Fields
- 7 The Pell Equation
- 8 Catalan's Equation
- 9 Ambiguous Ideal Classes and Quadratic Reciprocity
- 10 Quadratic Gauss Sums
- A Computing with Pari and Sage
- B Solutions
- Bibliography
- Name Index
- Subject Index