Mathematics: Rational or Irrational?

  • A. Gardiner


Perhaps the most basic idea in all of mathematics is that of counting numbers—the positive whole numbers. If human beings are to get interested in anything mathematical, then we should not be surprised to find them beginning with these counting numbers—their patterns of odd and even; the squares, cubes, and higher powers; the triangular numbers 1, 3, 6, 10, 15,...; the primes; the divisors of a given number and its factorisation as a product of primes; and many other fascinating properties (see, for example, Exercise 2).


Common Measure Fascinating Property Triangular Number Angle Triangle Argand Diagram 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • A. Gardiner
    • 1
  1. 1.Department of MathematicsUniversity of BirminghamBirminghamEngland

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