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Modern Algebra Lecture Notes by Prof James McKernan

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Modern Algebra Lecture Notes written by Prof James McKernan . This is an other book of mathematics cover the following topics.

  • Groups
  • Subgroups
  • Cosets
  • Cyclic Groups, Permutation Groups
  • Conjugation in Sn
  • Isomorphisms, Homomorphisms and Kernels
  • Quotient Groups, The Isomorphism Theorems
  • Presentations and Groups of Small Order
  • Sylow Theorems and Applications
  • Rings, Ring Homomorphisms and Ideals
  • Field of Fractions, Euclidean Domains
  • Polynomial Rings
    Math Books of BASIC ALGEBRA
  • PHILOSOPHY And FUN OF ALGEBRA BY MARY EVEREST BOOLE

  • From Arithmetic To Algebra
  • The Making of Algebras
  • Simultaneous Problems
  • Partial Solutions. . . Elements of Complexity
  • Mathematical Certainty
  • The First Hebrew Algebra
  • How to Choose Our Hypotheses
  • The Limits of the Teacher’s Function
  • The Use of Sewing Cards
  • The Story of a Working Hypothesis
  • Macbeth’s Mistake
  • Jacob’s Ladder
  • The Great x of the World
  • Go Out of My Class-Room
  • √−1
  • Infinity
  • From Bondage to Freedom




  • Introduction to Modern Algebra by David Joyce

  • Introduction
  • Fields
  • Rings
  • Groups
  • Appendices



  • Elements of algebra by Leonhard Euler, John Hewlett

  • An old book of Math Algebra







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