| Algebra and Number Theory: A Selection of Highlights Contributor(s): Fine, Benjamin (Author), Gaglione, Anthony (Author), Moldenhauer, Anja (Author) |
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ISBN: 3110515849 ISBN-13: 9783110515848 Publisher: de Gruyter OUR PRICE: $48.44 Product Type: Paperback - Other Formats Published: September 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Number Theory |
| Series: de Gruyter Textbook |
| Physical Information: 0.8" H x 6.7" W x 9.4" (1.50 lbs) 342 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 πCompass and straightedge constructions and the classical problemsEuclidean vector spaces |
Contributor Bio(s): Fine, Benjamin: - B. Fine, A. Gaglione, A. Moldenhauer, G. Rosenberger, D. Spellman. |