Description

Book Synopsis
Offers 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.

Table of Contents
  • The integers
  • Modular arithmetic
  • Diophantine equations and quadratic number domains
  • Codes and factoring
  • Real and complex numbers
  • The ring of polynomials
  • Finite fields
  • Bibliography
  • Index

Integer and Polynomial Algebra

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    A Paperback by Kenneth R. Davidson, Matthew Satriano

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      Book details

      Publisher American Mathematical Society
      Published 1 February 2024
      ISBN-13 9781470473327
      978-1470473327
      ISBN-10 1470473321
      Also in:
      Algebraic topology Number theory

      Description

      Book Synopsis
      Offers 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.

      Table of Contents
      • The integers
      • Modular arithmetic
      • Diophantine equations and quadratic number domains
      • Codes and factoring
      • Real and complex numbers
      • The ring of polynomials
      • Finite fields
      • Bibliography
      • Index

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