Mathematician:Claude Ambrose Rogers

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English mathematician who worked in analysis and geometry.




  • Born: 1 November 1920 in Cambridge, Cambridgeshire, England
  • Died: 5 December 2005 in Islington, London, England

Theorems and Definitions


  • 1946: Linear Transformations Which Apply To All Convergent Sequences and Series (J. London Math. Soc. Vol. 21: pp. 123 – 128)
  • 1946: A note on a theorem of Blichfeldt
  • 1947: A note on a problem of Mahler
  • 1947: A note on irreducible star bodies
  • 1948: The critical determinant of a convex cylinder (with J.H.H. Chalk)
  • 1948: A problem of Hirsch
  • 1949: The product of the minima and the determinant of a set
  • 1949: The product of $n$ homogeneous linear forms
  • 1949: The successive minima of measurable sets
  • 1949: On the critical determinant of a certain nonconvex cylinder
  • 1949: The successive minima of a convex cylinder (with J.H.H. Chalk)
  • 1950: The Asymptotic Directions of $n$ Linear Forms in $n+1$ Integral Variables (Proc. London Math. Soc. Ser. 2 Vol. 52: pp. 161 – 185)
  • 1950: The Signatures of the Errors of Simultaneous Diophantine Approximations (Proc. London Math. Soc. Ser. 2 Vol. 52: pp. 186 – 190)
  • 1950: A note on coverings and packings
  • 1950: Absolute and unconditional convergence in normed linear spaces (with Aryeh Dvoretzky)
  • 1953: The covering of $n$-dimensional space by spheres (with Paul Erdős)
  • 1961: Covering space with convex bodies (with Paul Erdős)
  • 1964: Packing and Covering
  • 1964: The Brunn-Minkowski theorem and related inequalities (lecture at the British Mathematical Colloquium)
  • 1970: Hausdorff Measures

Notable Quotes

Many mathematicians believe, and all physicists know, that the density cannot exceed $\dfrac \pi {\sqrt {18} }$.

Also known as

Known throughout his life as Ambrose.