Algebra and Number Theory

A Selection of Highlights

Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman (Autoren)

Buch | Softcover

X, 332 Seiten

2017
De Gruyter (Verlag)
978-3-11-051584-8 (ISBN)

Infos

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

Autor

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

Rezensionen

"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

Produkt-Details

• Erscheinungsdatum: 16.09.2017
• 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