教養の数学と魔方陣 : 4次の超魔方陣の解明  [in Japanese] Super Magic Squares of Size 4 : a new Mathematics Course for Non-Science Majors  [in Japanese]

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Abstract

This paper will present an overview plot of a new discrete mathematics course. Its intended audience is non-science majors. The unique feature of this course is its use of computer algebra. After creating some super magic squares of size 5 by hand, super magic squares of size 4 are classified with the aid of Mathematica. Then the mathematical structure of these magic squares will be examined through an innovative approach by the author. Students can learn the use of arithmetic of modulo m, and the 4-dimensional geometry over the field with two elements. Overall, the goal of this course is to make the student a critical consumer of mathematical games, to understand what a mathematical structure is and how it works. We also mention that magic squares will provide good examples 'in nature' to motivate the student in a linear algebra course.

Journal

  • 東京工芸大学工学部紀要 = The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University

    東京工芸大学工学部紀要 = The Academic Reports, the Faculty of Engineering, Tokyo Polytechnic University 21(1), 86-92, 1998

Cited by:  2

Codes

  • NII Article ID (NAID)
    110001038406
  • NII NACSIS-CAT ID (NCID)
    AN00159741
  • Text Lang
    JPN
  • Article Type
    Journal Article
  • ISSN
    03876055
  • Data Source
    CJPref  NII-ELS  IR 
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