# Mathematician:Samuel Beatty

## Mathematician

Canadian mathematician, best known for Beatty sequences.

## History

• Born: 21 August 1881 in Owen Sound, Ontario, Canada
• Died: 1970 in Toronto, Canada

## Theorems and Definitions

Results named for Samuel Beatty can be found here.

Definitions of concepts named for Samuel Beatty can be found here.

## Publications

• 1917: Derivation of the Complementary Theorem from the Riemann-Roch Theorem
• 1926: Problems for Solutions: 3173-3180 (Amer. Math. Monthly Vol. 33: p. 159)  www.jstor.org/stable/2300153
• 1927: Solutions: 3177 (Amer. Math. Monthly Vol. 34: p. 159)  www.jstor.org/stable/2298716
• 1944: Theory of Algebraic Functions based on the Use of Cycles (with Muriel Wales)
• 1948: On the minimum value of the Riemann-Roch expression for order-bases in the large
• 1948: On the number of conditions to apply to a function $R (Z, U)$ to build it on an assigned local order-basis $t$
• 1952: A symmetric proof of the Riemann-Roch theorem, and a new form of the unit theorem ((with N.D. Lane)
• 1954: Upper and lower estimates for the area of a triangle
• 1956: Difference methods in the theory of local order bases and their equivalent normalized function bases