Modern algebra self-taught through APL

ABSTRACT

The study of modern algebra, especially that of finite algebra and its applications to error codes, was aided by the computer. The paper shows how a college student used APL for self-teaching this university-level subject. The approach of self-teaching is presented. It is shown how the learning process can be augmented through the use of APL. Various finite algebra problems and their APL solutions are presented, including error detecting codes and the search for irreducible and primitive polynomials.

REFERENCES

• BB76: Garret Birkhoff and Thomas C. Bartee. Modern Applied Algebra. Mir, Moscow, 1976. In Russian.
• Gil76: William J. Gilbert. Modern Algebra with Applications. John Wiley and Sons, Toronto, 1976.
• Sko92: Alexander O. Skomorokhov, Do Russian children like APL2?, ACM SIGAPL APL Quote Quad, v.23 n.1, p.203-215, July 1992
• Wil92: Robert G. Willhoft, Matrix operations over integral domains using nested APL, ACM SIGAPL APL Quote Quad, v.23 n.1, p.275-285, July 1992

INDEX TERMS

Primary Classification:
  D. Software
  D.3 PROGRAMMING LANGUAGES
      D.3.2 Language Classifications

          Nouns: APL

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on polynomials

  H. Information Systems
  H.1 MODELS AND PRINCIPLES
      H.1.2 User/Machine Systems
          Subjects: Human factors

  J. Computer Applications
  J.2 PHYSICAL SCIENCES AND ENGINEERING
      Subjects: Mathematics and statistics

  K. Computing Milieux
  K.3 COMPUTERS AND EDUCATION
      K.3.1 Computer Uses in Education
          Subjects: Computer-assisted instruction (CAI)

General Terms:
Algorithms, Human Factors, Languages