Algebraic Number Theory

• Κύριος συγγραφέας: Jarvis, Frazer (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Springer Undergraduate Mathematics Series,
• Θέματα: Mathematics.; Algebra.; Field theory (Physics).; Number theory.; Number Theory.; Field Theory and Polynomials.

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...

Πίνακας περιεχομένων:

• 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.