Number Fields: Number Fields 3/e

Paperback | April 27, 1995

byDaniel A. Marcus

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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods 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.

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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods 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 m...

Format:PaperbackDimensions:292 pages, 9.25 × 6.1 × 0.68 inPublished:April 27, 1995Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:0387902791

ISBN - 13:9780387902791

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Table of Contents

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.