On Fluctuating Functions. Published in the Transactions of the Royal Irish Academy, Vol. XIX, Part II. INSCRIBED BY WILLIAM ROWAN HAMILTON.

60 pp. Recent 1/2-leather and marbled boards. Lightly foxed. Very Good. First Separate Edition. INSCRIBED: "The Revd Professor Jellett/ with the author's regards & re[spect]/ 20th Jany, 1852" (see photo). The inscription has been partly trimmed by the binder. Hamilton's paper was read June 22, 1840 and then published in Transactions of the Royal Irish Academy, Vol. 19, 1843, pp. 264-321. The mathematican John Hewitt Jellett was a professor and, later, provost, of Trinity College in Dublin. "William Rowan Hamilton's most substantial paper on real analysis is On Fluctuating Functions, which is concerned largely with ideas from Fourier analysis. . . . In this paper, Hamilton sets out to explain the validity of the Fourier inversion formula by means of a principle which he calls the Principle of Fluctuation. He also uses this principle to obtain generalizations of the Fourier Inversion Formula. He also considers the representation of periodic functions by Fourier series, and discusses various applications of Fourier analysis" (David R. Wilkins, School of Mathematics, Trinity College, Dublin, online information).…