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Algebra and Number Theory

โœ Scribed by Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman


Publisher
Walter De Gruyter Inc
Year
2017
Tongue
English
Leaves
343
Series
De Gruyter Textbook
Category
Library

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โœฆ Synopsis


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.

Contents
The natural, integral and rational numbers
Division and factorization in the integers
Modular arithmetic
Exceptional numbers
Pythagorean triples and sums of squares
Polynomials and unique factorization
Field extensions and splitting fields
Permutations and symmetric polynomials
Real numbers
The complex numbers, the Fundamental Theorem of Algebra and polynomial equations
Quadratic number fields and Pell's equation
Transcendental numbers and the numbers e and ฯ€
Compass and straightedge constructions and the classical problems
Euclidean vector spaces

โœฆ Subjects


Algebra;Abstract;Elementary;Intermediate;Linear;Pure Mathematics;Mathematics;Science & Math;Number Theory;Pure Mathematics;Mathematics;Science & Math;Algebra & Trigonometry;Mathematics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique


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