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public parks and his earnest labors in relation to that subject is due, in large measure, the present extended and perfected system of public parks in this city. In an especial degree the beautiful Central Park represents the realization of ideals long cherished by him.

"His activities were not confined to municipal objects alone, for his efforts were largely instrumental in securing the Niagara Reservation, for all time to come, as a State park.

"Mr. Green had always been deeply interested in the development of the educational facilities of the city, and his selection by Mr. Tilden as one of the executors of his will and one of the trustees of the Tilden Trust, brought to him a most welcome opportunity of furthering those objects.

"He at once entered with all his accustomed energy upon the work of carrying out the great charitable purposes of Mr. Tilden's will.

"From his early years he had possessed in an unusual degree an appreciation of the enormous possibilities of growth for the City of New York. For years before his death he had cherished the project of uniting under a single municipal government all the territory now known as the Greater New York, and to him, more than to any other person, was due the successful accomplishment of that project.

"His appreciative sense of the importance of this great community, its varied needs and interests, its constantly accelerating growth, and its vast possibilities of future expansion, were ever present with him as an active force in the work which he thus undertook for library development and progress. He recognized to the fullest extent what a great public library system ought to be, and it was his earnest and constant effort that his ideals should be realized in the growth and development of the New York Public Library into an institution worthy of the great city of the future.

"Soon after Mr. Tilden's death, he procured the passage of the first act of the Legislature authorizing the consolidation of library corporations in the City of New York. He took an active part in the negotiations which resulted in the consolidation of the Astor Library, the Lenox Library, and the Tilden Trust into the present New York Public Library, and which made possible the uniting in a single body of the control and government of a great public library system in the city.

"One of the original trustees of the institution thus formed, he continued in the earnest and fruitful discharge of the duties of Trustee until his death. Ever ready with suggestion and counsel, active in interest, unsparing of effort, courageous and determined, he was an associate whose true worth and sterling qualities were fully recognized and appreciated by his fellow members of the Board."

LIST OF WORKS ON THE HISTORY OF MATHEMATICS (INCLUDING WORKS PRINTED BEFORE 1800) IN THE NEW YORK

PUBLIC LIBRARY.

**This list includes pure mathematics only; for applied mathematics reference should be made in the index catalogue to the subject headings relating to applications of mathematics, such as cosmography, astronomy, navigation, physics, metrology, accounting, etc.

A list of periodicals in the library relating to mathematics was printed in the Bulletin, volume 1, pages 73-75.

The alphabetical arrangement of this list serves as a complement to the arrangement in the index catalogue, where the cards are grouped chronologically by date of publication.

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GENERAL MATHEMATICS.

Bibliography.

Babbage (C.) Mathematical and scientific library; sold Feb., 1873. [London,] 1872. 8°. Beughem (C.) Bibliographia Mathematica et Artificiosa. 18°. Amstelodami, 1688.

Bobynin (V. V.) Russkaia fiziko-matematicheskaia bibliografia. Moscow: A. 1. Mamontov, 188692. 8°.

Boston Public Library. List of mathematical works recently added to the Bowditch collection. May, 1878. Boston, 1878. 8 pp. sq. 4°.

Bradley (Morton Clark). A bibliography of foundations of geometry. (Proc. Indiana Acad. of Sci. 1898, pp. 117-147. Indianapolis, 1899.)

Bulletin de bibliographie, d'histoire & de biographie mathématiques, par [O.] Terquem. Paris, 1855-62. 8 v. in 7. 8°.

Cajori (Florian). Bibliography of fluxions and the calculus. (U. S. Bureau of Education. Circular of Information. 1890, no. 3. pp. 395-400.)

Catalogue d'une collection précieuse de livres mathématiques et astronomiques qui en vente publique seront adjugés au plus offrant à Berlin. 1853. Berlin R. Friedländer & fils [1853]. 55 pp. 8°.

Congrès international de bibliographie des sciences mathématiques. Index du répertoire bibliographique des sciences mathématiques, publié par la commission permanente du répertoire. Paris, 1893. xiv, 80 pp. 8°.

Delambre (J. B. J.) Catalogue des livres de sa bibliothèque. Paris, 1824. 89.

Friedlaender (R.) & Sohn. Catalogue d'une collection choisie de grands ouvrages et de journaux scientifiques. Sciences mathématiques

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Greenwood (J. M.) The evolution of the arithmetic in the United States. (Education. Boston, 1899. v. 20, pp. 193–201.)

Greenwood (James M.), and Martin Artemas). Notes on the history of American text books of arithmetic. (U. S. Bureau of Education. Annual Report, 1897/8, pp. 789-868; 1898/9, pp. 781-837.

Hagen (J. G.) Index operum Leonardi Euleri. viii, 80 pp. Berolini: F. L. Dames, 1896. 8°.

International catalogue of scientific literature. Annual issue. A. Mathematics. no. 1 (1902). London, 1902. 8°.

Pub. for the International Council by the Royal Society of London.

Labey (J. B.) Catalogue des livres de sa bibliothèque continué par P. P. de St. Vandrille. Paris 1839. 8°.

La Caille (N. L. de), abbé. Catalogue des livres de ... La Caille... iv, 75 pp. Paris : Damonneville & Musier fils, 1762. 12°.

Bd. with Saint-Port (G. de) Catalogue des livres de.. Saint-Port... Paris, 1749.

Laisant (C. A.) Index bibliographique. (In his: La mathématique, philosophie-enseignement. Paris, 1898. pp. 285-286. 8°.)

Mathematische Wissenschaften. (Systematischer Katalog d. Bibliothek d. kk. technischHochschule in Wien. Heft 2, pp. 1–113. Wien, 1901.)

Merriman (Mansfield). A list of writings relating to the method of least squares, with historical and critical notes. New Haven, 1877. pp. 151232. 8°.

Repr.: Trans. Conn. Acad. V. 4, 1877.

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Catalogue de la bibliothèque de N. Paris, 1854. facsim. nar. 4°.

Repertorium der literarischen Arbeiten aus dem Gebiete der reinen und angewandten Mathematik: “Originalberichte der Verfasser gesammelt und hrsg. von Leo Koenigsberger und Gustav Zeuner. Leipzig, 1877-79. 2 v. in I. 8°.

Riccardi (Pietro). Contributo degl' Italiani alla storia delle scienze matematiche pure ed applicate. Saggio bibliografico. (Mem. d. R. Accad. d. sci. d. istituto di Bologna. ser. 5, v. 7, pp. 371425. Bologna, 1898–99.)

Rogg (J.) Handbuch der mathematischen Literatur, vom Anfange der Buchdruckerkunst bis zum Schlusse des Jahrs 1830. Tübingen, 1830. 8°. Scheibel (J.E.) Einleitung zur mathematischen Bücherkentnis. Breslau: J. E. Meyer, 1769-87.

3 v. 12°.

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Neue Auflage. Breslau: J. E. Meyer, 1781-95. 3 v. in 4. 12°.

Scott (R. F.) List of memoirs and works relating to Determinants. (In his: A treatise on the theory of determinants. Cambridge, 1880. pp. 242251. 8°.)

Smith (D. E.) General works on the history of mathematics in the nineteenth century. (In: Higher Mathematics. A text-book... New York, 1896. pp. 568-570. 8°.)

Sohncke (L. A.) Bibliotheca mathematica. Verzeichniss der Bücher über die gesammten Zweige der Mathematik, welche in Deutschland und dem Auslande vom Jahre 1830 bis Mitte des Jahres 1854, erschienen sind. Mit Register. 8vo. Leipzig, 1854.

Sterner (Matthæus). German bibliography of the history and methods of arithmetic. (U. S. Bureau of Education. Annual report. 1893/4. v. I, pp. 314-323.)

Reprinted from Sterner's Geschichte der Rechenkunst; 231 titles, all German.

Struve (F. G. W.) Librorum in Bibliotheca Speculæ Pulcovensis contentorum Catalogus systematicus ex opere Descriptionis Speculæ seorsim excudi curavit. Petropoli, 1845. 8°.

Struve (O. [W.von]). Librorum in bibliotheca Speculæ Pulcovensis anno 1858 exeunte contentorum catalogus systematicus... Petropoli: Eggers & Co., 1860. I p.l., xxx, 970 pp. 8°.

Same. Pars secunda. Petropoli, 1880. I p.l., xvii, 640 pp. 8°.

Teubner (B[enedictus] G[otthelf]). Verzeichnis des Verlags von B. G. Teubner in Leipzig auf dem Gebiete der Mathematik, der technischen und Naturwissenschaften systematisch und alphabetisch geordnet. Im Anhange: Forstwissenschaft. Bis Ostern 1891. Leipzig: B. G. Teubner, 1891. xviii, 146 pp. 8°.

Verzeichnis der seit 1850 an den deutschen Universitäten erschienenen Doctor-Dissertationen und Habilitationsschriften aus der reinen und angewandt en Mathematik. Herausgegeben auf Grund des für die deutsche Universitäts-Ausstellung in Chicago erschienenen Verzeichnisses. 2 ll., 35 pp. München: C. Wolf & Sohn, 1893. 8°.

Weigel (T[heodor] O[swald]). Sciences mathématiques pures et appliquées... Leipzig, 1877–78. 2 pm. 8°.

Young (Thomas). [A catalogue of works relating to mathematics.] (In his: A course of lectures on natural philosophy. London, 1807. 4°. v. 2, pp. 113-124.)

History.

Abhandlungen zur Geschichte der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Begründet von M. Cantor. Heft

I-II.

(1877-1901.) Leipzig, 1877-1901. 8°. Heft 1-10 have title: Abhandlungen zur Geschichte der Mathematik, and form Supplements, or parts of Supplements to Zeitschrift für Mathematik und Physik; the Supplements of which they form parts having titles: Literaturzeitung der Zeitschrift . . . and Historisch- literarische Abtheilung... Heft 11-date are published independently. Adhémar (R. de). L'œuvre mathématique du XIXe siècle. (Rev. d. questions scientif. v. 50, pp. 177-218. Louvain, 1901.)

Ball (W. W. R.) A short account of the history of mathematics. London: Macmillan, 1888. xxiii, 464 pp. 12°.

A history of the study of mathematics at Cambridge. Cambridge: Univ. Press, 1889. xvii, 264 PP.

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A primer of the history of mathematics. iv, 158 pp. London: Macmillan & Co., 1895. 16°.

Bartholomæi (Fr.) Erhard Weigel: ein Beitrag zur Geschichte der mathematischen Wissenschaften auf den deutschen Universitäten im 17. Jahrhundert. (In Zeitschrift für Math. 13. Jahrg., Suppl. 1868.)

Berenguer (Pedro A.) Juan de Sevilla matematico español del Siglo XII. (Revista contemp. v. 118, pp. 131-140. Madrid, 1900.)

Bertrand (J. [L. F.].) Rapport sur les progrès les plus récents de l'analyse mathématique. Paris: Impr. Imper., 1867. 2 p.l., 38 pp. 4°. (Recueil de rapports sur les progrès des lettres et des sciences en France.)

Blancanus (Josephus). De mathematicarum natura dissertatio. Una cum clarorum mathematicorum chronologia. Bononiæ: B. Cochius, 1615. 65 pp., 2 l. sq. 8°.

Boncompagni (Baldassarre). Della vita e delle opere di Leonardo Pisano, matematico del secolo 13°: notizie raccolte da B. Roma, 1852. F°.

Intorno ad alcune opere di Leonardo Pisano, matematico del secolo decimoterzo: notizie raccolte da B. Roma, 1854. facsim. 8°.

Bossut (C.) Histoire générale des Mathématiques. 2 vols. 8vo. Paris, 1802.

Same. 2 vols. 8vo. Paris, 1810. Boyer (J.) Histoire des mathématiques. Paris: G. Carré & C. Naud, 1900. 3 p.l., ix-xi, 260 pp. 8°. (Bibliothèque de la revue générale des sciences.)

General Mathematics-History-cont'd.

Brugsch (H.) Numerorum apud Veteres Ægyptios Demoticorum doctrina. Berolini, 1849. Obl. fo.

Buchan (6. earl of, David Stewart Erskine) and Minto (W.) An account of the life, writings, and inventions of John Napier. Perth: R. Morison & Son, 1787. viii, 9-134, 3 pp., 5 pl., I port. 4°. Bürja (A.) Sur matiques d'Aristote.

les Connaissances mathé2 Mémoires. Berol. 1791.

Bürk (Albert). Das Apastamba-Sulba-Sūtra, herausgegeben, übersetzt und mit einer Einleitung versehen von A. Bürk. Diagrams. (Deutsche morgenländ. Gesellsch. Ztsch. v. 55, pp. 543591; v. 56, pp. 327-391. Leipzig, 1901-1902.) Buquoi (G. de). Chronologischer Auszug aus der Geschichte der Mathematik. 8vo. Leipzig, 1829.

Cajori (F.) A history of elementary mathematics, with hints on methods of teaching. viii, 304 pp. New York: The Macmillan Co., 1896.

12°.

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Chasles ([Michel]). Aperçu historique sur l'origine et le développement des méthodes en géométrie, particulièrement de celles qui se rapportent à la géométrie moderne, suivi d'un Mémoire de géométrie sur deux principes généraux de la science, la dualité et l'homographie. 2 p.l., 851 pp. (In: Mémoires couronnés l'Académie par royale... de Bruxelles. 1837. 4°. t. xi.) Conant (Levi L[eonard]). Primitive number systems. (In: Smithsonian Institution. Report, 1892.

pp. 583-594. Washington, 1893. 8°.) Crawford (John). De l'arithmétique dans l'archipel indien; extrait [de son] "Histoire de l'archipel indien," traduit et annoté par Aristide Marre. Rome, 1874. 8°.

Crawley (Edwin S.) Geometry: ancient and modern. (Pop. Sci. Monthly. v. 58, pp. 257-266. New York, 1900.)

Curtzé (Maximilian). Forschungen zur Geschichte der Geometrie im Mittelalter. (Centralblatt für Bibliothekswesen. Jahrg. 16, pp. 257306. Leipzig, 1899.)

Delambre (Jean Baptiste Joseph). Analyse des travaux de la classe des sciences mathématiques et physiques; 1810-11; partie math. (In Paris. Inst. Mém. sci. math. et phys., 1810-11, 2o pt. 1814.)

[Same,] 1814. (In same, 1813-15. 1818.) Rapport historique sur les Progrès des Sciences mathématiques depuis 1789 et sur leur État actuel. Paris, 1810. 4°.

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Dulaurens (F.) Responsio ad epistolam D. Wallisii ad clarissimum virum Oldenburgium scriptam. [Germany, 1675?] 7 pp. 4°.

Eisenlohr (A.) Ein mathematisches Handbuch der Alten Aegypter, Papyrus Rhind des British Museum übersetzt und erklärt. Leipzig, 1877. 2 v. 4° and F°.

Elijah ben Abraham Mizrachi. Brani dell' aritmetica d'Elia Misrachi; tradotti dell' ebraico [da M. Steinschneider]; lettera 4 di S. a D. B. Boncompagni. Roma, 1866. F°.

Fine (Henry B [urchard]). The number-system of algebra, treated theoretically and historically. Boston: Leach, Shewell & Sanborn, 1890. ix, 131 pp. 12°.

Fink (K.) A brief history of mathematics. An authorized translation . . . by W. W. Beman and D. E. Smith. Chicago: Open Court Pub. Co., 1900. xii, 333 pp. 8°.

Fontés ( ). Archéologie mathématique-Les arithmétiques et les algèbres du seizième siècle à la bibliothèque communale de Toulouse. (Bull. de l'Acad. d. sci. inscript. & belles-lettres de Toulouse. Toulouse, 1899. v. 2, pp. 202-208.)

Friedlein (Johann Gottfried). Beiträge zur Geschichte der Mathematik; 2, 3; Programm. Hof, 1872-73. 4°.

Frisi (A. F.) Eloge historique de MarieGaetane Agnesi, demoiselle célèbre par ses grands talents dans les mathématiques, par sa piété et sa bienfaisance, traduit de l'Italien. Paris, 1807. 8vo.

Fujisawa (R.) Note on the mathematics of the old Japanese school. (Congrès internat. d. mathématiciens. 2. Cong. proces-verbaux et communications. Paris, 1902. PP. 379-393.)

Fuss (P. H.) Correspondance mathématique et physique de quelques célèbres géométres du 18me siècle, précédée d'une notice sur les travaux de L. Euler, tant imprimés qu' inédits. St. Petersbourg, 1843. 2 v. 8°.

Vol. I. Notice sur la vie et les écrits d'Euler.

Liste systematique des ouvrages d'Euler.
Correspondance entre Léonard Euler et Goldbach,
1729-1764.

II. Lettres de Jean Bernoulli le père à Léonard Euler,
Bâle, 1728-1746.

Correspondance entre Nicolas Bernoulli (fils ainé de
Jean) et Golbach, 1721-1728.

Correspondance entre Daniel Bernoulli et Goldbach,

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son

Genty (L.) L'Influence de Fermat sur siècle, relativement au progrès de la haute géométrie et du calcul. Orleans, 1784. 8°.

Gerhardt (Carl Immanuel). Geschichte der Mathematik. (Munich. K. B. Akad. d. Wiss. Gesch. d. Wiss. in Deutsch., Neuere Zeit, Bd. 17.) München, 1877. 8°.

Goerland (Dr. A.) Aristoteles und die Mathematik. Marburg: N. G. Elwert, 1899. viii, 212 pp. 8°.

Goldberg (A.) Die jüdischen Mathematiker und die jüdischen anonymen mathematischen Schriften... zugleich ein Index zu M. Stein schneider's Mathematik bei den Juden . . . Frankfurt a. M.: J. Kauffmann, 1901. 12 pp.

8°.

Gow (James). A short history of Greek mathematics. Cambridge: University Press, 1884. xiv, I 1., 323 PP. 8°.

Gravelaar (N. L.) John Napier's werken. Portrait, 3 plates. (Koninkl. akad. van wetenschappen. Verhandel. [Afd. Natuurkunde.] Amsterdam, 1899. sec. I, v. 6, no. 6, pp. 1-160.)

Guenther (Sigmund). Abriss der Geschichte der Mathematik und der Naturwissenschaften im Altertum. (In: Handbuch der klassischen Altertumswissenschaft. München, 1894. v. 5, pt. 1, pp. 229-313. 8°.)

Beiträge zur Geschichte der neueren Mathematik. Ansbach: C. Brügel & Sohn [1881]. 40 pp. 8°. (Programm zur Schlussfeier des Jahres 1880-'81 an der Königl. Studienanstalt Ansbach.)

Geschichte des mathematischen Unterrichts im deutschen Mittelalter, bis 1825. Berlin, 1887. 8°.

(Monumenta German. Pædagog. Bd. 3.)

Vermischte Untersuchungen zur Geschichte der mathematischen Wissenschaften. Leipzig: B. G. Teubner, 1876. viii, 352 pp., 4 pl. 8°.

Guetzlaff (Karl Eduard). Bemerkungen über den mathematischen Unterricht auf Gymnasien. (In Marienwerder. K. Gymnasium. Jahresber. 1813-44.)

Hankel (Hermann). Zur Geschichte der Mathematik im Alterthum und Mittelalter. Leipzig, 1874. 8°.

Die Entwickelung der Mathematik in den letzten Jahrhunderten. Ein Vortrag beim Eintritt in den akademischen Senat der Universitat Tübingen am 29. April 1869 gehalten. Zweite Auflage mit einem Vorwort von Dr. P. du Bois-Reymond. Tübingen: F. Fues, 1884. 27 pp. 8°.

Haramburanus (A.) De instituti sui ratione oratio. De præstantia mathematicarum. Lutetiæ habita. Paris, 1557. 8°.

Heiberg (J. L.) Quelques papyrus traitant de mathématiques. (Oversigt over det kong. danske

videnskab. Selskabs Forhandl. 1900, pp. 147-171. Köbenhavn, 1900.)

Heilbronner (J. C.) Historia matheseos universæ a mundo conditum ad seculum XVI. Lipsia, 1742. 4to.

Historisch-literarische Abtheilung der Zeitschrift für Mathematik und Physik; 20-25. Jahrgang. Leipzig, 1875-80. 6 v. 8°.

Continuation of Literaturzeitung der Zeitschrift. Bound with Zeitschrift, v. 20-25.

Hoefer ([J. C.] F.) Histoire des mathématiques depuis leurs origines jusqu'au commencement du dixneuvième siècle. Paris: Hachette & Cie., 1886. 2 p. 1., iii, 602, pp. 3. ed. 12°.

(Histoire universelle, pub. sous la direc. de V. Dupuy.)

Hultsch (Friedrich). Die Elemente der ägyptischen Theilungsrechnung. (Königl. Sächsisch. Gesellsch. der Wissensch. Abhdl. der philologischhistorisch. Classe. Leipzig, 1897. 17, (v. 39.) PP. 3-192. 4°.)

Huygens (Christiaan). Œuvres complètes, publiées par la Société Hollandaise des Sciences. Correspondance, 1638-1663. La Haye: M. Nijhoff, 1888-91. 4 v. 4°.

Kaestner (A. G.) Geschichte der Mathematik seit der Wiederherstellung der Wissenschaften bis an das Ende des achtzehnten Jahrhunderts. Göttingen, 1796-1800. 4 v. 8°.

Koenigsberger (Leo). Hermann v. Helmholtz's Untersuchungen über die Grundlagen der Mathematik und Mechanik. Rede... 1895. Heidelberg: J. Hörning, 1895. I p.l., 70 pp. 4°. Hermann von Helmholtz' Untersuchungen über die Grundlagen der Mathematik und Mechanik. Leipzig: B. G. Teubner, 1896. 3 p.l., 58 pp., I port. 8°. The investigations of Hermann von Helmholtz on the fundamental principles of mathematics and mechanics. (Smithsonian Inst. Annual rep. for 1896, p. 93–124. Washington, 1898.)

Krebs (Joannes Augustus). De originibus et antiquitati mathematicis. Jenæ, 1702. 4°.

Kutta (W. M). Zur geschichte der Geometrie mit constanter Zirkelöffnung. 3 plates. (Kais-leopcarol. deutsche Akad. d. Naturforscher. Abhandl. Halle, 1897. v. 71, p. 69-101.)

Lagny (Thomas Fantet de). Élémens métaphysiques de la science des nombres. 1727. Io 1. sq. 8°.

Manuscript.

Lambo (Ch.) Une algèbre française de 1484. Nicolas Chuquet. (Rev. d. questions sci. sér 3, v. 2, pp. 442-472. Louvain, 1902.)

Langsdorf (K. C.) Ueber Newton's, Euler's, Kästner's u. Konsorten Pfuschereien in der Mathematik. Heidelberg, 1807. 8°.

Lawson (John). Dissertation on the geometrical analysis of the antients, with a collection of theorems and problems, without solutions. [Anon.] Canterbury, 1774. pl. 8°.

Leibnitz (G. W von), Freiherr. Virorum celeberr. G. G. Leibnitii et J. Bernoullii commercium philosophicum et mathematicum. Lausanna: M. M. Bousquet & Soc., 1745. 2 v. in I. 4°. Briefwechsel zwischen Leibniz und Christian Wolf, aus den Hdschr. der K. Bibliothek zu

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