Power Search
Low Price Guarantee
We Take School POs
The Theory of Classical Valuations 1999 Edition
Contributor(s): Ribenboim, Paulo (Author)

View larger image

 ISBN: 0387985255     ISBN-13: 9780387985251
Publisher: Springer
OUR PRICE: $104.49  

Binding Type: Hardcover - See All Available Formats & Editions
Published: May 1999
Qty:

Annotation: In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "local" methods. They are concerned with divisibility of "ideal numbers" of cyclotomic fields by lambda = 1 - psi where psi is a primitive "p"-th root of 1 (p any odd prime). Henssel developed Kummer's ideas, constructed the field of "p"-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the "p"-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory and collectively, these topics form the primary focus of this book.

Click for more in this series: Springer Monographs in Mathematics
Additional Information
BISAC Categories:
- Mathematics | Algebra - General
Dewey: 512.3
LCCN: 98-04349
Series: Springer Monographs in Mathematics
Physical Information: 0.94" H x 6.35" W x 9.53" L (1.51 lbs) 403 pages
Features: Bibliography, Index
 
Descriptions, Reviews, Etc.
Publisher Description:
In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "local" methods. They are concerned with divisibility of "ideal numbers" of cyclotomic fields by lambda = 1 - psi where psi is a primitive p-th root of 1 (p any odd prime). Henssel developed Kummer's ideas, constructed the field of p-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the p-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory and collectively, these topics form the primary focus of this book.
 
Customer ReviewsSubmit your own review
 
To tell a friend about this book, you must Sign In First!