Number Fields

Daniel A. Marcus (Autor)

Buch | Softcover

292 Seiten

1995 | 1st ed. 1977. Corr. 3rd printing 1995
Springer-Verlag New York Inc.
978-0-387-90279-1 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Reihe/Serie: Universitext
• Zusatzinfo: 1 Illustrations, black and white; 292 p. 1 illus.
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 910 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 0-387-90279-1 / 0387902791
• ISBN-13: 978-0-387-90279-1 / 9780387902791
• Zustand: Neuware