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Fine, Benjamin / Gaglione, Anthony / Moldenhauer, Anja / Rosenberger, Gerhard / Spellman, Dennis

Algebra and Number Theory

A Selection of Highlights

Series:De Gruyter Textbook

    400,00 € / $460.99 / £328.99*

    eBook (EPUB)
    Publication Date:
    September 2017
    ISBN
    978-3-11-051626-5
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    Overview

    • 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.

    Aims and Scope

    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

    Details

    x, 332 pages
    Language:
    English
    Type of Publication:
    Textbook
    Keyword(s):

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    B. Fine, A. Gaglione, A. Moldenhauer, G. Rosenberger, D. Spellman.

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