Carl friedrich gauss


  • Date of Birth

    Date of Birth
    Johann Carl Friedrich Gauss was born in Brunswick, Germany
  • Period: to

    Carl Friedrich Gauss Timeline

  • Modular Arithmetic

    The year 1796 was most productive for both Gauss and number theory. He discovered a construction of the heptadecagon on 30 March.[10] He further advanced modular arithmetic, greatly simplifying manipulations in number theory.[citation needed] On 8 April he became the first to prove the quadratic reciprocity law. This remarkably general law allows mathematicians to determine the solvability of any quadratic equation in modular arithmetic.
  • Prime Number Theorem

    The prime number theorem, conjectured on 31 May, gives a good understanding of how the prime numbers are distributed among the integers.

    Gauss also discovered that every positive integer is representable as a sum of at most three triangular numbers on 10 July and then jotted down in his diary the note: "ΕΥΡΗΚΑ! num = Δ + Δ + Δ".
  • Finite Fields

    On October 1 he published a result on the number of solutions of polynomials with coefficients in finite fields, which 150 years later led to the Weil conjectures.
  • Earned Doctorate

    Gauss attended the University of Göttingen from 1795 to 1798. He earned his doctorate in 1799 at the University of Helmstedt.
  • ‘Disquisitiones Arithmeticae’

    Carl Gauss published the book ‘Disquisitiones Arithmeticae’ (Arithmetical Investigations) in 1801. He introduced the symbol ‘≡’ for congruence in this book and gave the first two proofs of the law of quadratic reciprocity.
  • Date of Death

    Date of Death
    Johann Carl Friedrich Gauss died in Gottingen, Germany