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Problems and proofs in numbers and algebra

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Author(s): Kahn, Eric Brendan; Millman, Richard S.; Shiue, Peter Jau-Shyong
Publisher: Springer
Year: 2015

Language: English
Pages: 223
City: New-York, Cham, Heidelberg
Tags: Algèbre.;Analyse mathématique.

Content: I. The Integers 1. Number Concepts, Prime Numbers, and the Division Algorithm 2. Greatest Common Divisors, Diophantine Equations, and Combinatorics 3. Equivalence Classes with Applications to Clock Arithmetics and Fractions II. The Algebra of Polynomials and Linear Systems 4. Polynomials and the Division Algorithm 5. Factoring Polynomials, Their Roots, and Some Applications 6. Matrices and Systems of Linear Equations