Daniel A. Marcus

Number Fields

• Broschiertes Buch

Produktdetails

• Universitext
• Verlag: Springer, Berlin
• Corr. repr.
• Seitenzahl: 279
• Englisch
• Abmessung: 235mm
• Gewicht: 414g
• ISBN-13: 9783540902799
• Artikelnr.: 27520030

Inhaltsangabe

This text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises. Summary of contents: A special case of Fermat's conjecture Number fields and number rings Prime decomposition in number rings Galois theory applied to prime decomposition The ideal class group and the unit group The distribution of ideals in a number ring The Dedekind zeta function and the class number formula The distribution of primes and an introduction to class field theory.