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Theory of Algebraic Integers - Dedekind, Richard, and Stillwell, John (Introduction by)
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The 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. ...

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Theory of Algebraic Integers 1996, Cambridge University Press, Cambridge

ISBN-13: 9780521565189

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