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 Bocking, Essex, he was son of Robert Hayward by his wife Ann Baldwin; his father, from an old Quaker family, withdrew from the Quaker community on his marriage. Educated at University College, London, he entered St John's College, Cambridge, in 1846, graduating as fourth wrangler in 1850. He was fellow from 30 March 1852 till 27 March 1860, and from 1852 till 1855 assistant tutor.

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).

Unified angles Hayward called a hyperbola an excircle in his Algebra of Coplanar Vectors and Trigonomety. Chapter 6 considered "Excircular or hyperbolic trigonometry" where hyperbolic functions are described. He was taken by the analogy of circular sectors and hyperbolic sectors.

Introduction of trigonometric ratios by reference to hyperbolc sector area was also advocated by R. Levett and Charles Davison. Such an approach to trigonometry was also taken by Alexander Macfarlane in his essay "Definitions of the Trigonometric Functions".

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.