Quaternions Applied to Number Theory

  • W. S. Anglin
  • J. Lambek
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In this chapter we shall use integer quaternions to show that every natural number is a sum of four perfect squares. This was first proved by J. L. Lagrange in 1770 (Oeuvres, Vol. 3, pp. 189-201).

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • W. S. Anglin
    • 1
  • J. Lambek
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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