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Integer and Polynomial Algebra

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Paperback / softback
185 Pages
2 January 2024
$150.00
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This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields. In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of $e$, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.

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    Product Details
    ISBN-13
    9781470473327
    Author
    Kenneth R. Davidson
    Publisher
    AMERICAN MATHEMATICAL SOCIETY
    Published
    2 January 2024
    Format
    Paperback / softback
    Pages
    185

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    $150.00
    Ships in 2-5 business days

    Delivery estimate

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    Integer and Polynomial Algebra

    $150.00

    Description

    This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields. In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of $e$, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.

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