The New York Academy of Sciences was founded in 1817 but at that time it was named The Lyceum of Natural History in the City of New York. In 1823 the Lyceum published the first volume of the Annals of the Lyceum of Natural History of New-York which was to become an extremely important series consisting of:-
... book-length reviews of a subject, combining both original research and review articles from researchers working in a variety of disciplines. The Annals volumes serve as a baseline source of information for years to come and generally also contain transcribed discussions of papers and overviews of the subject that attempt to place the individual studies within a wider context.
One of the important steps taken by members of the newly formed Lyceum was to press for the founding of New York University in 1831. In 1877 the Lyceum was renamed the New York Academy of Science and the Annals became the Annals of the New York Academy of Sciences although for the first few volumes the title of the publication appeared as the Annals of the New York Academy of Sciences, late Lyceum of Natural History. In 1881 the Academy began publication of the Transactions of the New York Academy of Sciences. The Academy formed a centre for scientific organisations in New York named the Scientific Alliance in 1891. This grew into the present structure of the Academy having Sections for the different scientific areas. The Mathematics Section is one of the Sections of the Academy. The Academy introduced a further publication in 1895, namely the Memoirs of the New York Academy of Sciences.
Frank Harary, a leading graph theorist, was "Scientist-in-Residence" at the New York Academy of Sciences in 1977. The Academy held a conference on Topics in graph theory in New York from 2 May to 6 May 1977. The proceedings of the conference was published as Volume 328 of the Annals of the New York Academy of Sciences. The Second International Conference on Combinatorial Mathematics sponsored by the New York Academy of Sciences took place at the Barbizon Plaza Hotel in New York City from 4 April to 7 April 1978 and the proceedings were again published in the Annals. The Academy continued to support graph theory conferences with two one day meetings each year in May and November having the proceedings published in their Graph Theory Notes New York series. The conference "New York Graph Theory Day 32" was held at Manhattan College, Riverdale, New York, on 2 November 1996 and dedicated to the memory of Paul Erdös who had been elected to the New York Academy of Sciences. The series continued, reaching "New York Graph Theory Day 40" which was held at the State University of New York, Purchase, New York, on 4 November 2000.
Similarly summer conferences were held on general topology and applications with the proceedings published in the Annals. The conference held in Madison, Wisconsin from 26 June to 29 June 1991, the seventh in the series, was in honour of Mary Ellen Rudin.
In 1990 the Academy published a volume of the Annals containing papers which had been read to the Mathematics Section. The range of topics covered by that Section is immediately seen from the titles of the papers: An application of mathematical modelling to solar energy research; The growth of graph functions; The long and the short of cascade trees: height and a duality in cascade processes; The Weierstrass realization problem; Geometric versions of some algebraic identities; Cayley diagrams; Mathematical theory of elections; Soap bubbles and soap films; On non-Archimedean analysis; Numerical computation: the state of the art; Beside and between Baire and barrelled or linear variations on category.
Membership of the Academy has grown sharply. In 1935 there were 317 members, by 1967 this had grown to over 20000, and today there are around 24000 members from about 150 countries.
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