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- Buckland, Frank, 1826-1880.

[Letter] 1876 May 8 / Frank Buckland.

Buckland declares that he is "exceedingly obliged" for the photos of John Hunter's coffin plate, although "what a pity it was we did not open the coffin & get you to take a photo of the great John himself." An eccentric naturalist, Buckland had been searching for the grave of the surgeon and anatomist, Hunter, and it was cleared at St. Martin's-in-the-Fields; Buckland had the remains transferred to Westminster Abbey for reinterment. Buckland states that he would like to show him the museum at South Kensington one day (Buckland was a scientific referee there from 1865, helping to build the collection on fisheries).

- Buckland, William, 1784-1856.

[Letter] 1832 April 6, Oxford, [to] Thomas Allan, Esq., Edinboro / W. Buckland.

Buckland writes to Allan to thank him for favors to a botany professor. He describes illustrations in a book and hopes Allan will attend the Royal Society meeting at which a lizard will be presented. Thomas Allan, who developed one of the finest collections of minerals in England, published an Alphabetical list of the names of minerals at present most familiar in the English, French, and German languages (1808), and discovered the mineral Allanite which was named for him.

- Burbank, Luther, 1849-1926.

[Letter] 1909 September 13, Santa Rosa, Ca., [to] Charles A. Chambers, Fresno, Ca. / Luther Burbank.

Burbank thanks Chambers for his kind words in the Fresno Evening Herald on September 11, 1909, and confirms that he has "abundant evidence that my thornless cactuses have come to stay." He likens the addition of these cactuses to the discovery of a new continent as they will be an additional food source for areas of the world heretofore considered unproductive. Burbank's horticultural experiments extended to include better forms of potatoes, plums, berries, lilies, roses, tomatoes, corn, squash, Shasta daisies, and Fire poppies. He later wrote Luther Burbank, His Methods and Discoveries (1914-15).

- Cayley, Arthur, 1821-1895.

[Letters] 1859 September 24 - 1863 May 2, London, [to Robert Harley] / A[rthur] Cayley.

The letters here are a collection of 40 letters written by Cayley to Harley between 24 September 1859 and 5 February 1863. (We do not have Harley's half of the correspondence.) Harley's name does not appear in any of these letters and his identity has been deduced from internal evidence. Many of these letters deal with details of invariant-theoretic calculations that Cayley and Harley performed. Arthur Cayley was one of the preeminent British mathematicians of the 19th century. In 1863 he was appointed the Sadleirian Professor of Pure Mathematics at Cambridge, a position he held until his death at the age of 73. Robert Harley was a Congregational minister who was also well known for his important contributions to mathematics and symbolic logic.

Prof. Steven H. Weintraub, Dept. of Mathematics, Lehigh University.

- Cayley, Arthur, 1821-1895.

A memoir on the quintic equation / by Prof. Cayley.

By the time of Euclid, the Greeks knew how to solve quadratic equations. The general solution of the cubic equation was found by Tartaglia and Cardano in the 16th century, and the general solution of the quartic equation was found by Ferrari shortly thereafter. Attention then turned to the quintic equation, and the attempt to solve it was one of the central themes in the development of algebra over the next three centuries. Finally, in 1824 Abel showed that there is no formula for the solution of the general quintic. Nowadays, this result is best understood in the context of Galois theory. Galois's work was done in 1832 but did not become known until its posthumous publication by Liouville in 1846. The quintic continued to hold great interest for mathematicians, including Cayley and especially Harley, and many of their joint computations were related to it. (In modern language, they investigated the resolvent and discriminant of the general quintic.) This interest for Cayley continued throughout his lifetime. One of his last published papers, in 1894, dealt with the quintic: [950] Arthur Cayley, On the sextic resolvent equations of Jacobi and Kronecker, J. reine angew. Math. CXIII (1894), 42-49. Moreover, he was preparing a paper on the quintic, which was incomplete at his death. The manuscript here consists of several drafts of this paper. (In one of these drafts, he refers to his 1894 paper on the sextic resolvent equations of Jacobi and Kronecker [950].)

Prof. Steven H. Weintraub, Dept. of Mathematics, Lehigh University.