Algebra and Number Theory

De Gruyter Textbook
A Selection of Highlights
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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 pCompass and straightedge constructions and the classical problemsEuclidean vector spaces
Autor: Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman
B. Fine, A. Gaglione, A. Moldenhauer, G. Rosenberger, D. Spellman.

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Autor: Benjamin Fine
ISBN-13 :: 9783110515848
ISBN: 3110515849
Erscheinungsjahr: 11.09.2017
Verlag: Gruyter, Walter de GmbH
Gewicht: 664g
Seiten: 332
Sprache: Englisch
Sonstiges: Taschenbuch, 241x169x20 mm, 10 Schwarz-Weiß- Abbildungen
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