EAN: 9783110515848

TEXTBOOK ALGEBRA AND NUMBER THEORY - BENJAMIN...

This two-volume set collects and presents some fundamentals of mathematics in an entertaining
and performing manner. The present volume examines many of the most important basic results in
algebra and number theory  along with their proofs  and also their history. ContentsThe natural
integral and rational numbersDivision and factorization in the integersModular
arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique
factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal
numbersThe complex numbers  the Fundamental Theorem of Algebra and polynomial
equationsQuadratic number fields and Pell s equationTranscendental numbers and the numbers e
and Compass and straightedge constructions and the classical problemsEuclidean vector spaces

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