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Theory of Algebraic Integers

Richard Dedekind author John Stillwell translator John Stillwell editor

Format:Paperback

Publisher:Cambridge University Press

Published:28th Sep '96

Currently unavailable, and unfortunately no date known when it will be back

Theory of Algebraic Integers cover

A translation of a classic work by one of the truly great figures of mathematics.

Dedekind memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in installments in French 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.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. 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.

"The book has historical interest in providing a very clear glimpse of the origins of modern algebra and algebraic number theory, but it also has considerable mathematical interest. It is truly astonishing that a text written one hundred and twenty years ago, well before modern algebraic terminology and concepts were introduced and accepted, can provide a plausible introduction to algebraic number theory for a student today." Mathematical Reviews Clippings 98h

ISBN: 9780521565189

Dimensions: 228mm x 152mm x 11mm

Weight: 236g

168 pages