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About Algebra and Number Theory: A Selection of Highlights
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 An exciting collection of fundamental results in algebra and number theory Aimed at lecturers, teachers, and students of mathematics, and at all mathematically interested Contains many exercises related to the content of each chapter
Detailed Information
| Author: | Benjamin Fine; Anthony Gaglione; Anja Moldenhauer; Gerhard Rosenberger; Dennis Spellman |
|---|---|
| Publication Year: | 2017 |
| ISBN: | 9783110515848 |
| Language: | English |
| File Size: | 13.353 |
| Format: | |
| Price: | FREE |
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