Tartaglia, Niccolo (died 1557), 1568.
Qvesiti et inventioni diverse de Nicolo Tartaglia, di
novo restampati con vna gionta al sesto libro, nella quale si mostra duoi modi
di redur una città inespugnabile. La divisione et continentia di tvtta l’opra
nel seguente foglio si trouara notata. Con privilegio.
Euclid (fl. ca. 300 BC), 1570.
The elements of geometrie of the most auncient philosopher
Euclide of Megara faithfully (now first)
translated into the Englishe toung by H. Billingsley, citizen
of London; whereunto are annexed certaine scholies,
annotations, and inventions, of the best mathematiciens, both
of time past and in this our age; with a very fruitfull
praeface made by M.I. Dee, specifying the chief mathematicall
scieces, what they are, and whereunto commodious; where, also
are disclosed certaine new secrets mathematicall and
mechanicall, untill these our daies, greatly missed.
London : Imprinted by Iohn Daye, 1570.
QA31.E8 B6 1570
William Oughtred (1575-1660), 1647.
The key of the mathematicks new forged and filed: together with a Treatise of
the resolution of all kinds of affected aequations in numbers. With the rule of
compound usury; and demonstration of the rule of false position. And a most
easie art of delineating all manner of plaine sun-dyalls. Geometrically taught,
by Will. Oughtred.
[There are no copies of this work listed in WorldCat (or OCLC the Online Computer Library Caltagoue), yet there are two copies at American University. Only one has the portrait of Oughtred.]QA33
.O96 1647
Rene Descartes (1596-1650), 1649.
Philosophiae naturalis principia mathematica.
Lugduni Batavorum : Ex Officina Ioannis Maire, 1649.
QA551 .D44 1649
Diophantus of Alexandria (third century, AD), 1670.
Diophanti Alexandrini Arithmeticorum libri sex,
et De numeris multangulis liber unus ; cum commentariis C. G. Bacheti v. c. &
obseruationibus d. P. de Fermat ... Accessit Doctrinae analyticae inuentum nouum,
collectum ex varijs eiusdem d. de Fermat epistolis, Tolosae: B. Bosc, 1670.
AU: LIB Special Collections Rare:
QA33.D24 B1 1670 .
Melder, Christiiani
Evclidis elementorvm sex priores libri
recogniti opera Christiani Melder, Ludg. Batav. Amst.:_{
}Apud Danielem, Abrahamum & Adrianum `a Gaesbeeck, 1673. In
Michalowicz collection.
We shall look at similarities in the frontispieces in this work and the following two. For details, see "Why have a frontispiece? Examples from the Michalowicz Collection at American University," by Fasanelli and Rickey.
Tacquet, Andrea (1612-1660)
Elementa Euclidea geometriæ,
planæac solidæ; et selecta ex Archimede theoremata, quibus accedit trigonometria,
auctore Andrea Tacquet, Soc. Jesu Sacerdote, & Matheseos Professore. Cum notis,
et additamentis Gulielmi Whiston. A.M. matheseos Professoris Lucasiani. Postrema
Editio. Cui in aliena manu juventutis accessit ab aliena manu brevis de
sectionibus_{ }
conicis tractatus. Neapoli: Benedicti Gessari, 1744. In Michalowicz
collection.
Chambers, Ephriam (1680?-1740)
Cyclopædia: or, an universal
dictionary of arts and sciences. . . . By E. Chambers, F.R.S. With the
supplement and modern improvements, incorporated in one alphabet. By Abraham
Rees, . . . In four volumes. . . . . London: printed for J. F. and C.
Rivington, A. Hamilton, T. Payne and Son, W. Owen, B. White and Son [and 24
others in London], 1786-88. Volume 1 only is in the Michalowicz collection.
Euler, Leonhard (1707-1783), 1748.
Introductio in
analysin infinitorum. Provenance: donated by Bern Dibner; signed by
Michaëlis Angeli Giacomelli; stamped with: Libreria Antiquaria S. Bocca, Font.
Borohesse 27-Roma.
QA33 .S87 1748b .
This is one of Euler's most famous works. The contents of Euler's seven (yes 7) volumes on the calculus are much closer to what we teach today than are the original works of Newton and Leibniz or the rigorous work of Cauchy and Weierstrass. In Euler's calculus the fundamental objects of study are functions (see the table of contents, p. xiij); this does not seem innovative but earlier the concept of a curve was fundamental. Here the trigonometric functions on the unit circle were disseminated to the mathematical community. The logarithmic and exponential functions are treated as inverse functions (Chapter 8, §126). Here you will find his summation of the squares of the reciprocals of the integers. This is Euler's "pre-calculus" book – he only uses algebraic methods, no infinitesimal ones. The differential and integral calculus were treated in 2 + 3 additional volumes. Euler's formula is in §138. In §142 there is a Machin type identity for computing π; earlier. The second volume is devoted entirely to analytic geometry and to the classification of curves.
Euler, Leonhard (1707-1783), 1818.
An Introduction to the
Elements of Algebra, Designed for the Use of those Who are Acquainted Only with
the First Principles of Arithmetic. Selected from the Algebra of Euler [by John
Farrar].
QA152 .F243 1818 .
This work appeared first in Russian, then in German. AU holds 7 English editions, so this would be a good example to study the changes in editions.
Newton, Isaac (1642-1727), 1769.
Universal arithmetick: or, A treatise of
arithmetical composition and resolution. Written in Latin by Sir Isaac Newton.
Translated by the late Mr. Ralphson; and rev. and cor. by Mr. Cunn. To which is
added, a treatise upon the measures of ratios, by James Maguire, A.M. The whole
illustrated and explained, in a series of notes, by the Rev. Theaker Wilder,
London, Printed for W. Johnston, 1769. AU: LIB Special Collections Martin:
QA35 .N564 .
Maria Gaetana Agnesi (1718-1799), 1801
Analytical institutions in four books:
originally written in Italian / By Donna Maria Gaetana Agnesi ... Tr. into
English by the late Rev. John Colson ... Now first printed, from the
translator’s manuscript, under the inspection of the Rev. John Hellins,
London : Printed by Taylor and Wilks, 1801. AU: LIB Special Collections:
QA35 .A2.
L'Hospital, Guillaume (1661-1704), 1730.
The method of fluxions both direct and
inverse: the former being a translation from the celebrated Marquis De
L’Hospital’s Analyse des infinements petits / and the latter supply’d by the
translator, E. Stone, London: Printed for William Innys, 1730. AU: LIB
Special Collections Martin:
QA302 .S877 1730
Playfair, John (1748-181), 1814
Elements of geometry: containing the first six
books of Euclid, with a supplement on the properties of the circle, the
intersections of planes, and the geometry of solids / by John Playfair, 2d
American ed. with improvements. Boston, Printed by T. B. Wait and Sons for
F. Nichols, 1814. AU: LIB Special Collections Martin:
QA451 .P6 1814
J.-L. (Jean-Louis) Boucharlat (d. 1848), 1828.
An elementary treatise on the differential and integral calculus.
Cambridge : W. P. Grant, 1828.
Translation of Elemens de calcul differentiel et de calcul integral.
QA303 .B752 1828
Euclid, edited by
Byrne, Oliver (1810-1880), 1847.
The first six books of the elements of Euclid, in which coloured diagrams and symbols are used instead of letters for the greater ease of learners,
London, W. Pickering, 1847.
QA451 .B9 1847 .
Davies, Charles (1798-1876), 1847.
Arithmetic: designed for academies and schools, uniting the inductive
reasoning of the French with the practical methods of the English system, with
full illustrations of the method of cancellation. Special Collections
Martin.
QA103 .D25 1847
Carroll, Lewis, (1832-1898), 1879.
Euclid and his modern rivals,
London, Macmillan and Co., 1879.
QA28 .D6
Rufus Fuller, 1893
A double discovery. The square of the circle.
Boston, MA, Printed for the author, 1893.
QA467 .F96 1893