MATHEMATICAL PUBLICATIONS BY ROWAN STUDENTS

James Chappell, The trinomial triangle, The College Mathematics Journal, Vol. 30, No. 2, 1999, pp. 141-142. download PDF version

Matthew Flacche, Pascal’s triangle and Sierpinski’s triangle”: An Incredible Link, AMATYC Review, Fall, 2000. Downloas PDF version

Marcia Kleinz,  A child’s garden of fractional derivatives, The College Mathematics Journal, Vol. 31, No. 2, (2000), pp. 82-887 download PDF version

Nick Borota. Spacetime numbers the easy way, Mathematics and Computer Education, Vol. 34, No. 2, (2000), pp. 159-168. download PDF version

Jae Hattrick-Simpers, Mutations of the Mandelbrot set, Mathematics and Computer Education, Vol. 35, No. 1, (2001), pp. 18-26. download PDF version

Ira Fine,  The remarkable incircle of a triangle. Mathematics and Computer Education, Vol. 35, No. 1, (2001), pp. 44-50. download PDF version

Michael Wilhelm, Variations on Vieta’s and Wallis’s products for pi, Mathematics and Computer Education, 35(2001), pp. 225-232. download PDF version

Nicolae A. Borota, Functions of a spacetime variable, Mathematics and Computer Education, 36(2002), pp. 231-239. Download PDF file

Dipti Bardhan, An easy introduction to biplex numbers, Mathematics and Computer Education, 36(2002), pp. 278-286. Download PDF file

Brian Seaman, A computer hunt for Apery's constant, Mathematical Spectrum, 35(2002/2003), No.1, pp. 5-8.  Download PDF file

Brian Seaman, Variations on the linear first order ODE, International Journal of Mathematical Education in Science and Technology, 35(2004), pp.309-315. Download (PDF) version.

Shaun Giberson, Extending Theon's ladder to any square root, The College Mathematics Journal, 35(2004), pp. 222-226. Download PDF file

Jeffrey Tsay, Generalizing integrals involving x^x and series involving n^n, Mathematics and Computer Education, 39(2005), pp. 31-36. Download PDF File

Michael Orchard, Theon's ladder for any root, International Journal of Mathematical Education in Science and Technology, 36(2005), pp. 389-398. Download PDF file

Joseph Diaco, Ptolmey vs. Copernicus. The  Mathematical Spectrum, 38(2005/2006), pp. 3-6.  Download PDF File

Todd Pelletier and Kevin Hughes,  Proof without words: One to one mapping of an open interval onto a closed interval, Mathematics Magazine, 78 (2005), p. 226.  Download PDF File

 Matthew Oster, A spiral of triangles related to the great pyramid, The Mathematical Spectrum 38(2005/2006), pp. 108-112,. Download PDF File

David Grochowski, An asymptotic approach to constructing the hyperbola, The Mathematical Spectrum 38(2005/2006), pp. 113-115.  Download PDF File

Nicholas Stugard, A collection of numbers whose proof of irrationality is like that of the number e, Mathematics and Computer Eduation, 40(2006), pp. 103-107. Download PDF file

Lucas Willis, Translation with Notes of Euler's  paper "Remarks on a beautiful relation between direct as well as reciprocal series" (E352), on the web at the Euler Archive, http://www.math.dartmouth.edu/~euler/.  Download PDF file

Lucas Willis, Synopsis of Euler's paper "Remarks on a beautiful relation between direct as well as reciprocal series" (E352), on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/.  Download PDF file

Kristen McKeen, Translation with notes of Euler’s paper E796,  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.”, on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/. Download PDF file  .

Kristen McKeen,  Synopsis by section of Euler's paper E769, 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”, on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/.   Download PDF file

Walter Jacob,  Translation with notes of Euler's paper E46, Methodus Universalis Serierum Convergentium Summas Quam Proxime Inveniendi, (A general method for finding approximations to the sums of convergent series). On the web at the Euler Archive http://www.math.dartmouth.edu/~euler/.  Download PDF file

Walter Jacob, Synopsis of Euler's paper E46, Methodus Universalis Serierum Convergentium Summas Quam Proxime Inveniendi, (A general method for finding approximations to the sums of convergent series). on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/. Download PDF file

John F. Kennedy, The integers of James Booth, Mathematical Spectrum, 39(2006/2007), pp. 71-72. Download PDF file

Robert J. BuonpastoreDeveloping formulas by skipping rows in Pascal's triangle, Mathematics and Computer Education, (41)2007, pp. 25-29.  Download PDF file

Mohamed Teymour, The quadratic equation as solved by Persian mathematicians of the middle ages, Mathematical Spectrum, 39(2006/2007), pp. 115-8. Download PDF file

Walter Jacob, Constructing a line segment whose length is equal to the measure of a given angle, International Journal of Mathemeatical Education in Science and Technology, 38(2007), pp. 529-230. Download PDF file

Edward Greve
, Oblique-angled diameters and the conic sections, The Mathematical Spectrum, 40(2007/2008), pp. 26-30.. Download PDF File

 Adam Hilburn, An unusual proof that Fm divides Fmn for Fibonacci numbers using hyperbolic functions, The Mathematical Gazette, 91(2007), pp. 510-512. Download PDF File

Andrew Robertson, Euler's little summation formula and sums of powers, The Mathematical Spectrum, 40(2007/2008), pp. 73-76..  Download PDF File

Edward Greve Translation with notes of Euler's paper E83,  On some properties of   conic sections that are shared with infinitely many other curved lines. On the web at the Euler Archive http://www.math.dartmouth.edu/~euler/. Download PDF File

 Edward Greve, Synopsis of Euler's paper E83, On some properties of  conic sections that are shared with infinitely many other curved lines. On the web at the Euler Archive http://www.math.dartmouth.edu/~euler/  Download PDF File

Robert Buonpastore, Triangles and parallelograms of equal area inside the ellipse,  To appear in The Mathematical SpecrumDownload PDF FIle

Andrew Fabian and Hieu Nguyen (Faculty Advisor)   [E141] Translation and Synopsis by [Translation with footnotes in PDF] (Oct 2007) [Synopsis PDF] (Mar 2008) 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/

 

Andrew Fabian (Faculty Advisor: Hieu Nguyen)  [E236] Translation  [Translation with footnotes in PDF] (Aug 2007) 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/

 

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

 

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

 

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

 

Kathryn Robertson,  On numbers equal to the sum of two squares in more than one way,  (with Ming-Sun Li, Abdul Hassen, Christopher S. Simons and Marcus Wright).,

Mathematics and Computer Education, 43(2009), pp. 102-108. Download PDF File

 

Lee Collins, Conjectures from a historic table by John Wallis, Mathematical Spectrum, 42(2009/2010), pp. 14-19. Download PDF File

Adam Romasko. Triangles of equal area in a hyperbola, with. Mathematical Spectrum, 42(2009/2010), pp. 70-74. Download PDF File

Christopher Tippie and Kristin Masters  Translation with notes of Euler's paper E745, (with Christopher Tippie and Kristin Masters) On the continued fractions of Wallis.  on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/. Download PDF FIle

 

Christopher Tippie and Kristin Masters Reflections and Notes on Euler’s paper E745, On the continued fractions of Wallis.  on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/. Download PDF File

 

Christopher Tippie and Kristin Masters . Synopsis of Euler’s paper E745, (with Christopher Tippie and Kristin Masters) On the continued fractions of Wallis.  on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/. Download PDF File

Jasen Scaramazza,  Translation of Euler's paper , Memoire sur la plus grande equation des planets, (Memoir on the Maximum value of an Equation of the Planets). on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/.

Jasen Scaramazza Notes on  Euler's paper , Memoire sur la plus grande equation des planets, (Memoir on the Maximum value of an Equation of the Planets). on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/.

Jasen Scaramazza Synopsis of Euler's paper Memoire sur la plus grande equation des planets, (Memoir on the Maximum value of an Equation of the Planets). on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/.

Jasen Scaramazza Translation with notes of Euler’s paper E314, Conjecture sur la raison de quelques dissonances generalement recues dans la musique

(Conjecture on the Reason for some Dissonances Generally Heard in Music) on the web at the Euler Archive http://www.math.dartmouth.edu/~euler/

 

Lee Collins, Law of cosines generalized for any polygon and any polyhedron, The Mathematical Gazette, 95(2011), pp. 240-243. Download PDF file

Jasen Scaramazza  How Euler found the eccentricity of planetary orbits, Accepted on November 28, 2011 by The Mathematical Scientist. To appear December, 2012.

Eric Jones, Diophantine approximation and the irrationality of certain numbers, Mathematics and Computer Education, 46(2012), pp. 125 - 130.

 

Cory Wright,  Interesting bilateral series generalizing a result of Euler . Accepted March 30, 2012,  by The Mathematial Gazette. To appear March, 2013.

Cory Wright,  Four derivations of an interesting bilateral series generalizing the series for zeta of 2. Submitted to The International Journal of Mathematical Education in Science and Technology on March 25, 2012. Accepted July 4, 2012.