Number Fields
197th Edition
Published in 1995
Book
Paperback/Softback
VIII, 279 pages
978-3-540-90279-9 (ISBN)
Description
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments.
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Content
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.