Algebraic Numbers and Algebraic Functions (Chapman Hall/CRC Mathematics Series)

Cohn, P.M.

ISBN 10: 0412361906 / ISBN 13: 9780412361906

Editore: Chapman and Hall/CRC, 1991

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Dati bibliografici

• Titolo: Algebraic Numbers and Algebraic Functions (Chapman Hall/CRC Mathematics Series)
• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0412361906
• ISBN 13: 9780412361906
• Rilegatura: Hardcover
• Edizione: 1st Edition
• Condizione: Near Very Good
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.