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Abstract Algebra with Applications

Authors

Audrey Terras
, University of California, San Diego
Published 2018

Description

Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google…

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Key features

  • Includes interesting computational examples where students can use their preferred software, including Mathematica, Scientific Workplace and Group Explorer
  • Connects theory with practice by featuring plenty of examples and applications
  • Emphasizes finite fields and rings and the ways in which the finite mirrors the infinite, making the subject accessible to students

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