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The Theory Of Classical Valuations
Paulo Ribenboim
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Description for The Theory Of Classical Valuations
Paperback. Series: Springer Monographs in Mathematics. Num Pages: 414 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 21. Weight in Grams: 640.
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. ... Read more
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. ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag New York Inc. United States
Number of pages
414
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
403
Place of Publication
New York, NY, United States
ISBN
9781461268147
SKU
V9781461268147
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for The Theory Of Classical Valuations
"It is well written, encyclopedic, and authoritative and probably belongs on the shelf of any commutative algebraist or algebraic number theorist."
MATHEMATICAL REVIEWS
MATHEMATICAL REVIEWS