Algebraic Number Theory
The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic. Algebraic Number Theory takes the reader from...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edition: | 1st ed. 2014. |
| Series: | Springer Undergraduate Mathematics Series,
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| Online Access: | https://doi.org/10.1007/978-3-319-07545-7 |
Table of Contents:
- Unique factorisation in the natural numbers
- Number fields
- Fields, discriminants and integral bases
- Ideals
- Prime ideals and unique factorisation
- Imaginary quadratic fields
- Lattices and geometrical methods
- Other fields of small degree
- Cyclotomic fields and the Fermat equation
- Analytic methods
- The number field sieve.