Theory of Algebraic Integers
By (author) Richard Dedekind
Translated by John Stillwell
Introduction by John Stillwell
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Theory of Algebraic Integers by Richard Dedekind
Book DescriptionThe invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathematiques' in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir gives a candid account of his development of an elegant theory as well as providing blow-by-blow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists.
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Book DetailsISBN: 9780521565189
(228mm x 152mm x 10mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Sep-1996
Country of Publication: United Kingdom
Books By Author Richard Dedekind
Was Sind Und Was Sollen Die Zahlen?, Paperback (August 2012)
This influential 1888 publication explained the real numbers, and their construction and properties, from first principles.
Essays on the Theory of Numbers, Paperback (June 1963)» View all books by Richard Dedekind
Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties of the natural numbers.
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