Algebraic Number Theory
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- Engels
- Paperback
- 9783319075440
- 04 juli 2014
- 292 pagina's
Samenvatting
This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve.
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 unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform.
The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the first time that the number field sieve has been considered in a textbook at this level.
This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform.
The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the first time that the number field sieve has been considered in a textbook at this level.
Productspecificaties
Inhoud
- Taal
- en
- Bindwijze
- Paperback
- Oorspronkelijke releasedatum
- 04 juli 2014
- Aantal pagina's
- 292
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Frazer Jarvis
- Hoofduitgeverij
- Springer
Overige kenmerken
- Editie
- 2014 ed.
- Extra groot lettertype
- Nee
- Product breedte
- 152 mm
- Product hoogte
- 19 mm
- Product lengte
- 229 mm
- Studieboek
- Ja
- Verpakking breedte
- 156 mm
- Verpakking hoogte
- 234 mm
- Verpakking lengte
- 16 mm
- Verpakkingsgewicht
- 435 g
EAN
- EAN
- 9783319075440
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