"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
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.
Les mer
Dedekind invented ideals, which proved to be the genesis of algebraic number theory, in the 1870's. This is a translation of his memoir which also contains an introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome.
Les mer
Part I. Translator's Introduction: 1. General remarks; 2. Squares; 3. Quadratic forms; 4. Quadratic integers; 5. Roots of unity; 6. Algebraic integers; 7. The reception of ideal theory; Part II. Theory of Algebraic Integers: 8. Auxiliary theorems from the theory of modules; 9. Germ of the theory of ideals; 10. General properties of algebraic integers; 11. Elements of the theory of ideals.
Les mer
A translation of a classic work by one of the truly great figures of mathematics.
Produktdetaljer
ISBN
9780521565189
Publisert
1996-09-28
Utgiver
Cambridge University Press; Cambridge University Press
Vekt
236 gr
Høyde
228 mm
Bredde
152 mm
Dybde
11 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
168
Forfatter
Oversetter
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