Abstract algebra with applications

Terras, Audrey, author

Publication Details Click to collapse Cite/Export

  • Creator Audrey Terras, University of California, San Diego, CA, USA
  • Format Books
  • Publication Cambridge ; New York, NY : Cambridge University Press, 2019. ©2019
  • Series
  • Physical Details
    • xix, 310 pages : illustrations (some color) ; 26 cm
  • ISBNs 1107164079, 9781107164079
  • OCLC on1055440946


  • "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 page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof." --


  • Includes bibliographical references (pages 299-304) and index.
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