Algebra and Number Theory

A Selection of Highlights
Buch | Softcover
X, 332 Seiten
2017
De Gruyter (Verlag)
978-3-11-051584-8 (ISBN)
49,95 inkl. MwSt
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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 πCompass and straightedge constructions and the classical problemsEuclidean vector spaces

B. Fine, A. Gaglione, A. Moldenhauer, G. Rosenberger, D. Spellman.

"I am not aware of any one other book that covers all of the material described above. [...] For this reason, the book under review seems like a very useful reference, one that anyone with an interest in algebra or number theory would enjoy having readily available." MAA Reviews

Erscheinungsdatum
Reihe/Serie De Gruyter Textbook
Zusatzinfo 10 b/w ill.
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 668 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Algebra • Elementare Zahlentheorie • Galois-Theorie • Polynom • Primzahl • Textbook • Zahlensystem • Zahlentheorie
ISBN-10 3-11-051584-9 / 3110515849
ISBN-13 978-3-11-051584-8 / 9783110515848
Zustand Neuware
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