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Abstract Algebra Theory and Applications

This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebr...

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Bibliografiska uppgifter
Huvudskapare: Judson, Thomas W. (Författare, medförfattare)
Materialtyp: Elektronisk E-bok
Språk:engelska
Publicerad: [Place of publication not identified] University of Puget Sound [2016]
Serie:Open textbook library.
Ämnen:
Mathematics > Textbooks
Algebra > Textbooks
Länkar:Access online version
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Innehållsförteckning:
  • Preliminaries
  • The Integers
  • Groups
  • Cyclic Groups
  • Permutation Groups
  • Cosets and Lagrange's Theorem
  • Introduction to Cryptography
  • Algebraic Coding Theory
  • Isomorphisms
  • Normal Subgroups and Factor Groups
  • Homomorphisms
  • Matrix Groups and Symmetry
  • The Structure of Groups
  • Group Actions
  • The Sylow Theorems
  • Rings
  • Polynomials
  • Integral Domains
  • Lattices and Boolean Algebras
  • Vector Spaces
  • Fields
  • Finite Fields
  • Galois Theory

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