Robert Baldwin Hayward
Robert Baldwin Hayward (7 March 1829 – 2 February 1903) was an English educator and mathematician.
Life
Born on 7 March 1829, at
From 1855 Baldwin was mathematical tutor and reader in natural philosophy at Durham University, leaving in 1859 to become a mathematical master at Harrow School. Hayward remained at Harrow till 1893, a period of 35 years. He reformed mathematics teaching there. He was president (1878–89) of the Association for the Improvement of Geometrical Teaching (afterwards the Mathematical Association).[1]
Hayward was a mountain climber and an original member of the
Works
- 1884: "Proportional Representation", The Nineteenth Century(February)
- 1895: "Hints on Teaching Arithmetic (pamphlet)
Two of Robert Baldwin Hayward's works are available at Internet Archive:
In pure mathematics he published papers in the Transactions of the
Unified angles
Hayward called a hyperbola an excircle in his Algebra of Coplanar Vectors and Trigonomety. Chapter 6 considered "Excircular or hyperbolic trigonometry" where
Instead of cos u, sin u, etc. as functions of the angle IOp we might regard them as functions of the corresponding sector of the unit-circle, and then regarding cosh v, sinh v, etc. in like manner as functions of the excircular or hyperbolic sector IOP, the analogy between circular and excircular functions is complete.
This insight was cited by Alexander Macfarlane in his essay "Definitions of the Trigonometric Functions".[4]
Family
Hayward married in 1860 Marianne, daughter of Henry Rowe, of Cambridge; his wife's sister married Henry William Watson. He had issue two sons and four daughters, including Sir Maurice Henry Weston Hayward, K.C.S.I., colonial administrator in India.[1][5]
Notes
- ^ a b c d e Lee, Sidney, ed. (1912). . Dictionary of National Biography (2nd supplement). Vol. 2. London: Smith, Elder & Co.
- ^ "Hayward, Robert Baldwin (HWRT846RB)". A Cambridge Alumni Database. University of Cambridge.
- doi:10.1093/ref:odnb/33779. (Subscription or UK public library membershiprequired.)
- ^ Alexander Macfarlane "Definitions of the Trigonometric Functions" in Papers on Space Algebra (1894) via Internet Archive
- ^ "Hayward, Maurice Henry Weston (HWRT886MH)". A Cambridge Alumni Database. University of Cambridge.
Attribution
This article incorporates text from a publication now in the public domain: Lee, Sidney, ed. (1912). "Hayward, Robert Baldwin". Dictionary of National Biography (2nd supplement). Vol. 2. London: Smith, Elder & Co.