Algebraic Number Theory (Springer Undergraduate Mathematics) By Frazer Jarvis Cover Image

Algebraic Number Theory (Springer Undergraduate Mathematics) (Paperback)

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Description


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.

About the Author


Frazer Jarvis obtained his PhD from the University of Cambridge under the supervision of Richard Taylor in 1995. After postdoctoral periods in Strasbourg, Durham and Oxford, he has been a lecturer at Sheffield since 1998. His research has focused on modular forms and Galois representations over totally real fields, and he is currently interested in GSp(4).


Product Details
ISBN: 9783319075440
ISBN-10: 3319075446
Publisher: Springer
Publication Date: July 4th, 2014
Pages: 292
Language: English
Series: Springer Undergraduate Mathematics