Number Fields (Universitext) - Brossura

Marcus, Daniel A.

Brossura

ISBN 10: 0387902791 ISBN 13: 9780387902791

Casa editrice: Springer, 1995

Riassunto

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.

Su questo libro

Contenuti:

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.

Product Description:

Book by Marcus Daniel A

Su questa edizione

• Editore: Springer
• Data di pubblicazione: 1995
• ISBN 10: 0387902791
• ISBN 13: 9780387902791
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 288