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The Theory Of Classical Valuations
Paula Ribenboim
€ 135.92
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Description for The Theory Of Classical Valuations
Hardback. 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. These are the topics which are the object of this book. Series: Springer Monographs in Mathematics. Num Pages: 414 pages, biography. BIC Classification: PBC; PBF; PBKQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 23. Weight in Grams: 763.
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
Hardback
Publication date
1999
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
9780387985251
SKU
V9780387985251
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