Number Fields
Published on 27. April 1995
Book
Paperback/Softback
292 pages
978-0-387-90279-1 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 1977. Corr. 3rd printing 1995
Language
English
Place of publication
NY
United States
Target group
College/higher education
Professional and scholarly
Graduate
Illustrations
1
1 s/w Abbildung
1 Illustrations, black and white; 292 p. 1 illus.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
910 gr
ISBN-13
978-0-387-90279-1 (9780387902791)
DOI
10.1007/978-1-4684-9356-6
Schweitzer Classification
Other editions
New editions
Additional editions
Content
1: A Special Case of Fermat's Conjecture.- 2: Number Fields and Number Rings.- 3: Prime Decomposition in Number Rings.- 4: Galois Theory Applied to Prime Decomposition.- 5: The Ideal Class Group and the Unit Group.- 6: The Distribution of Ideals in a Number Ring.- 7: The Dedekind Zeta Function and the Class Number Formula.- 8: The Distribution of Primes and an Introduction to Class Field Theory.- Appendix 1: Commutative Rings and Ideals.- Appendix 2: Galois Theory for Subfields of C.- Appendix 3: Finite Fields and Rings.- Appendix 4: Two Pages of Primes.- Further Reading.- Index of Theorems.- List of Symbols.