ENGLISH

Algebra and Number Theory

Book information

Publisher
Walter de Gruyter Inc
Year
2017
ISBN
3110515849, 9783110515848
Language
english
Format
PDF
Filesize
2 MB (2261833 bytes)
Series
De Gruyter Textbook
Pages
316\343
Time added
2017-09-28 19:07:54

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. 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 π Compass and straightedge constructions and the classical problems Euclidean vector spaces

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