Algebra and Number Theory
A Selection of Highlights
1st Edition
Published on 11. September 2017
X, 332 pages
978-3-11-051626-5 (ISBN)
Description
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
Reviews / Votes
"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 ReviewsMore details
Other editions
Additional editions
Benjamin Fine | Anthony Gaglione | Anja Moldenhauer
Algebra and Number Theory
A Selection of Highlights
Book
09/2017
1st Edition
De Gruyter
€49.95
Article exhausted; check for reprint
Benjamin Fine | Anthony Gaglione | Anja Moldenhauer
Algebra and Number Theory
A Selection of Highlights
E-Book
09/2017
1st Edition
De Gruyter
€54.95
Available for download
Persons
B. Fine, A. Gaglione, A. Moldenhauer, G. Rosenberger, D. Spellman.
