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Media type:
E-Book
Title:
Algebra and number theory
:
a selection of highlights
Contains:
Frontmatter -- -- Preface -- -- Contents -- -- 1. The natural, integral and rational numbers -- -- 2. Division and factorization in the integers -- -- 3. Modular arithmetic -- -- 4. Exceptional numbers -- -- 5. Pythagorean triples and sums of squares -- -- 6. Polynomials and unique factorization -- -- 7. Field extensions and splitting fields -- -- 8. Permutations and symmetric polynomials -- -- 9. Real numbers -- -- 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- -- 11. Quadratic number fields and Pell’s equation -- -- 12. Transcendental numbers and the numbers e and π -- -- 13. Compass and straightedge constructions and the classical problems -- -- 14. Euclidean vector spaces -- -- Bibliography -- -- Index
Description:
Preface -- Contents -- 1. The natural, integral and rational numbers -- 2. Division and factorization in the integers -- 3. Modular arithmetic -- 4. Exceptional numbers -- 5. Pythagorean triples and sums of squares -- 6. Polynomials and unique factorization -- 7. Field extensions and splitting fields -- 8. Permutations and symmetric polynomials -- 9. Real numbers -- 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- 11. Quadratic number fields and Pell's equation -- 12. Transcendental numbers and the numbers e and π -- 13. Compass and straightedge constructions and the classical problems -- 14. Euclidean vector spaces -- Bibliography -- Index