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Mathematics Department

 

Student Translations of Euler’s Mathematics

http://www-history.mcs.st-and.ac.uk/PictDisplay/Euler.html

 

The Student Translations of Euler’s Mathematics (STeM) Project at Rowan University is an exciting project that engages undergraduate math students, under the supervision of faculty members, to translate selected papers of Leonard Euler (originally written in French, German and Latin) into English and to expose his works to the broader mathematical community.  Euler’s works are available online at the Euler Archive: http://eulerarchive.maa.org/.

 

I. TRANSLATIONS

 

2008

 

[E236] Translation and Synopsis by Andrew Fabian (Faculty Advisor: Hieu Nguyen)

[Translation with footnotes in PDF] (Aug 2007, Posted on the Euler Archive) [Synopsis PDF] (Aug 2008) 

Exposition de quelques paradoxes dans le calcul integral

(Explanation of Certain Paradoxes in Integral Calculus)

Originally published in Memoires de l'academie des sciences de Berlin 12, 1758, pp. 300-321; Opera Omnia: Series 1, Volume 22, pp. 214 – 236.  http://www.math.dartmouth.edu/~euler/

 

Translation by Elizabeth Volz (Faculty Advisor: Hieu Nguyen)

[Translation in PDF] (Aug 2008)

An English translation of portions of seven correspondences between Euler and Goldbach on Euler’s complex exponential paradox and special values of cosine

 

[E797] Translation by Kathryn Robertson and Abdul Hassen (Faculty Advisor)

[Translation with Notes in PDF] (Mar 2008)

Recherches sur le probléme de quatre nombres positives et en proportion arithmétique tels, que la somme de deux quelconques soit toujours un nombre carré

(Research into the problem of four positive numbers and such an arithmetic proportion of them, that the sum of any two of them is always a square number)

Originally published in Memoires de l'academie des sciences de Berlin 4, 1750, pp. 86-98; Opera Omnia: Series 2, Volume 30, pp. 89 – 100.  http://www.math.dartmouth.edu/~euler/

 

2007

 

[E141] Translation and Synopsis by Andrew Fabian and Hieu Nguyen (Faculty Advisor)

[Translation with footnotes in PDF] (Oct 2007) [Synopsis PDF] (Mar 2008) (Posted on the Euler Archive)

Sur l'accord des deux dernieres eclipses du soleil et de la lune avec mes tables, pour trouver les vrais momens des pleni-lunes et novi-lunes

(On the agreement of the last two eclipses of the sun and moon with my tables, for finding the actual times of the half-moon and new moon)

Originally published in Commentationes arithmeticae 2, 1849, pp. 617-625; Opera Omnia: Series 1, Volume 5, pp. 340 – 352.  http://www.math.dartmouth.edu/~euler/

 

 

[E308] Translation by Andrew Fabian (Faculty Advisor: Hieu Nguyen)

[Translation with footnotes in PDF] (July 2007)

Recherches sur le mouvement de rotation des corps celestes

(Studies on the rotational movement of celestial bodies)

Originally published in Memoires de l'academie des sciences de Berlin 15, 1766, pp. 265-309; Opera Omnia: Series 2, Volume 29, pp. 220 - 255.  http://www.math.dartmouth.edu/~euler/

 

[E785] Translation by Andrew Fabian (Faculty Advisor: Hieu Nguyen)

[Translation with footnotes in PDF] (July 2007)

Integration d'une espece remarqable d'equation differentielle dans l'analyse des fonctions a deux variables

(Integration of a remarkable type of differential equation in analytical functions with two variables)

Originally published in Memoires de l'academie des sciences de St.-Petersbourg 11, 1830, pp. 131-137; Opera Omnia: Series 1, Volume 23, pp. 443 - 449.  http://www.math.dartmouth.edu/~euler/

 

[E083] Translation by Edward Greve and Thomas J. Osler

[Translation with Notes in PDF] [Synopsis PDF] (Posted on the Euler Archive)

Sur quelques proprietes des Sections coniques qui conviennent a un infinite d'autres lignes courbes

(ON SOME PROPERTIES OF CONIC SECTIONS THAT ARE SHARED WITH INFINITELY MANY OTHER CURVED LINES)

Originally published in Memoires de l'academie des sciences de Berlin 1, 1746, pp. 71-98; Opera Omnia: Series 1, Volume 27, pp. 51 – 73.  http://www.math.dartmouth.edu/~euler/

 

2006

 

[E046] Translation by Walter Jacob, IV and Thomas J. Osler

[Translation with Notes in PDF] [Synopsis PDF] (Posted on the Euler Archive)

METHODVS VNIVERSALIS SERIERVM CONVERGENTIVM SVMMAS QUAM PROXIME INVENIENDI

(A general method for finding approximations to the sums of convergent series)

Originally published in Commentarii academiae scientiarum Petropolitanae 8, 1741, pp. 3-9; Opera Omnia: Series 1, Volume 14, pp. 101 – 107.  http://www.math.dartmouth.edu/~euler/

 

[E796] Translation by Kristen McKeen and Thomas J. Osler

[Translation with Notes in PDF] [Synopsis PDF] (Posted on the Euler Archive)

Recherches sur le problem de trois nombres carres tels que la somme de deux quelconques moins le troisieme fasse un nombre carre

(Research into the problem of three square numbers such that the sum of any two less the third one provides a square number.)

Originally published in Commentationes arithmeticae 2, 1849, pp. 603-616; Opera Omnia: Series 1, Volume 5, pp. 303 – 329.  http://www.math.dartmouth.edu/~euler/

 

[E352] Translation by Lucas Willis and Thomas J. Osler

[Translation with Notes in PDF] [Synopsis PDF] (Posted on the Euler Archive)

Remarques sur un beau rapport entre les series des puissances tant directes que reciproques

(Remarks on a beautiful relation between direct as well as reciprocal power series)

Originally published in Memoires de l'academie des sciences de Berlin 17, 1768, pp. 83-106; Opera Omnia: Series 1, Volume 15, pp. 70 – 90.  http://www.math.dartmouth.edu/~euler/

 

 

II. ARTICLES

 

Elizabeth Volz and Hieu D. Nguyen, Euler, Goldbach and Exact Values of Trigonometric Functions, Preprint, 2014. [PDF]

Andrew Fabian and Hieu D. Nguyen, Paradoxical Euler: Integrating by Differentiating, to appear in the Mathematical Gazette (March 2013). [PDF]

Robert Buonpastore and Thomas J. Osler, Triangles and parallelograms of equal area inside the ellipse, To appear in The Mathematical Spectrum.  [PDF]

Edward Greve and Thomas J. Osler, Oblique-angled diameters and the conic sections, The Mathematical Spectrum, 40 (2007/2008), pp. 26-30.  [PDF]

 

III. STUDENTS

 

Rob Buonpastore 2

Robert Buonpastore

 

student-photos4-2-08 002

Andrew Fabian

 

Ed Greve photo

Edward Greve

 

Walter Jacob

 

Kristen McKeen Thomas photo

Kristen McKeen

 

student-photos4-7-08

Kathryn Robertson

 

student-photos4-2-08 001

Elizabeth Volz

 

Lucas Willis

 

 

IV. FACULTY

 

Thomas J. Osler (osler@rowan.edu)

Hieu D. Nguyen (nguyen@rowan.edu)

Abdul Hassen (hassen@rowan.edu)

Olcay Ilicasu (ilicasu@rowan.edu)

 

V. CONTACT INFORMATION

 

Please email questions or comments about the Student Translations of Euler’s Mathematics (STeM) Project to Thomas Osler (osler@rowan.edu) or Hieu Nguyen (nguyen@rowan.edu).

 

 

 

 

This web site is maintained by: Hieu D. Nguyen, Department of Mathematics, Rowan University, Glassboro, NJ 08028.