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The Theory of Algebraic Numbers (Dover Books on
Aug 20, 2019Proceeding from the Fundamental Theorem of Arithmetic, into Fermat's Theory for Gaussian Primes, this book provides a very strong introduction for the advanced undergraduate or beginning graduate student to algebraic number theory. The book also covers polynomials and symmetric functions, algebraic numbers, integral bases,..Cited by: 136Author: Harry Pollard, Harold G Diamond4.2/5(5)Publish Year: 1950
The Theory of Algebraic Numbers - Harry Pollard, Harold G
The authors, a pair of noted mathematicians, start with a discussion of divisibility and proceed to examine Gaussian primes (their determination and role in Fermat's theorem); polynomials over a field (including the Eisenstein irreducibility criterion); algebraic number fields; bases (finite extensions, conjugates and discriminants, and the cyclotomic field); and algebraic integers and integral bases.
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