Gauss’s Proof by Induction

Oswald Baumgart

Chapter Chapter 9 in The Quadratic Reciprocity Law, 2015, pp 85-88 from Springer

Abstract: Abstract As we have already seen in Chap. 2 , Gauss distinguishes eight cases in his first proof. This makes the first proof so long that it hardly can be found useful for the proof of such a simple law. Yet this lack of shortness is not so much a consequence of the principle of induction on which the proof is based but rather of the notation.

Keywords: Great Satisfaction; Quadratic Residue; Analytic Proof; Induction Proof; Composite Number (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16283-6_9

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