**Craig G. Fraser: Publications **

Sufficient condition, fields and the calculus of variations,” *Historia Mathematica. *In press. Available online 5 March 2009.

“Cauchy,” in the *New Dictionary of Scientific Biography* Volume 2, pp. 75-79 (Scribners and Sons, 2008)

* The Cosmos: A Historical Perspective * ( Greenwood Publishers, 2006)

“Theoretical Cosmology and Observational Astronomy, Circa 1930,” in *Mathematics in the Physical Sciences, 1650-2000, *Ed. Niccolo Guicciardini et al., pp. 31-34*. *Mathematisches Forschungsinstitut Oberwolfach Report No. 56 (2005)

“Joseph Louis Lagrange,Théorie des fonctions analytiques," in *Landmark Writings in Western Mathematics 1640-1940*, pp. 208-224. Ed. Ivor Grattan-Guinness. (Elsevier, 2005)

“1744 Leonhard Euler's 1744 book on the calculus of variations,”in *Landmark Writings in Western Mathematics 1640-1940*, pp. 168-180. Ed. I. Grattan-Guinness. 2005, Elsevier

"The Early History of Hamilton-Jacobi Theory," *Centaurus*** 44** (2003), 161-227. With Michiyo Nakane.

"History of Mathematics in the Eighteenth Century", in Roy Porter (Ed.), *The Cambridge History of Science Volume 4 Eighteenth-Century* *Science* (2003), 305-327

“Calculo delle variazioni,”in *Storia della scienza*, editor-in-chief Sandro Petruccioli, Roma, Istituto della Enciclopedia Italiana, V. 7, 2003, pp. 69-75

“La meccanica celeste dopo Laplace: la teoria di Hamilton-Jacobi,” in *Storia della scienza*, editor-in-chief Sandro Petruccioli, Roma, Istituto della Enciclopedia Italiana, V. 7, 2003, pp. 234-243. With Michiyo Nakane.

“Meccanica dei continui e dei sistemi descreti,” in *Storia della scienza*, editor-in-chief Sandro Petruccioli, Roma, Istituto della Enciclopedia Italiana, V. 7, 2003, pp. 326-334

“The Calculus of Variations: A Historical Survey,” in *A History of Analysis*, Ed. H. N. Jahnke, (American Mathematical Society, 2003), pp. 355-384.

“The Writing of the History of Mathematics in Canada,” in J. W. Dauben and C. J. Scriba (Eds.), *Writing the History of Mathematics: Its Historical Development* (Birkhaeuser, 2003), pp. 285-288

"Mathematics," in *History of Modern Science and Mathematics* Volume 1, Ed. Brain Baigrie, pp. 84-114 (Scribners, 2002)

"Astronomy and Cosmology: Twentieth Century," in *The History of Modern Science and Mathematics Volume 2 *, Ed. Brian Baigrie, pp. (Scribners, 2002)

“Field Theory in the Calculus of Variations and the Hamilton-Jacobi Theory: A Case Study in the Interaction of Pure and Applied Mathematics," in *The Growth of Mathematical Knowledge*, in Kluwer's Synthese Library, ed. E. Grosholz and H. Breger (Kluwer, 2000), pp. 93-101

Essay review of Paolo Mancosu's *Philosophy of Mathematics and Mathematical Practice in the Eighteenth Century* (1996), in *Notre Dame Journal of Formal Logic* V. 40 (1999), 447-454

"Die Genese der Variationsrechnung," in *Geschichte der Analysis*, Hrsg. Hans Niels Jahnke, pp. 449-486 (Spektrum Akademischer Verlag: Heidelberg, Berlin, 1999). In the series "Texte zur Didaktik der Mathematik"

* Calculus and Analytical Mechanics in the Age of Enlightenment* (Aldershot, Hampshire: Ashgate, 1997)

"The Genesis and Early Development of Euler's Analysis", in *Analysis and Synthesis in Mathematics: History and Philosophy*, Eds. Marco Panza and Michael Otte, pp. 47-78. (Dordrecht: Kluwer Academic Publishers, 1997)

"Jacobi's result (1837) in the calculus of variations and its reformulation by Otto Hesse (1857). A study in the changing interpretation of mathematical theorems". In *History of mathematics and education*, Ed. H. N Jahnke and N. Knoche. Volume 11 of the series "Studien zur Wissenschafts-, Sozial und Bildungsgeschichte der Mathematik". 1996. Vandenhoeck. Göttingen

Preface to J. L. Lagrange, *Analytical Mechanics* (Dordrecht: Kluwer Academic Publishers, 1996) vii-x

"The concept of elastic stress in eighteenth-century mechanics: Some examples from Euler", in *Hamiltonian Dynamical Systems History, Theory and Applications*. Eds. H. S. Dumas et al. Volume 63 in the "IMA Volumes in Mathematics and Applications" (Springer, 1995), pp.1-14

"The origins of Euler's variational calculus", *Archive for History of Exact Sciences *47 (1994), 103-141

"Calculus of Variations", "Classical Mechanics", articles for *Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences*, Ed. I. Grattan-Guinness, (Routledge, 1994), V.1, pp. 342-350; V.2, pp. 971-986

"Isoperimetric Problems in the Variational Calculus of Euler and Lagrange," *Historia Mathematica *19 (1992), 4-23

"Mathematical Technique and Physical Conception in Euler's Investigation of the Elastica," in *Centaurus* 34 (1991), 24-60

"Lagrange's Analytical Mathematics, Its Cartesian Origins and Reception in Comte's Positive Philosophy," *Studies in the History and Philosophy of Science *21 (1990), 243-256

"History of Mathematics in the 17th and 18th Centuries," *Encyclopedia Britannica *V.23 (1990): 616-623

"The Calculus as Algebraic Analysis: Some Observations on Mathematical Analysis in the 18th Century," *Archive for History of Exact Sciences *39 (1989), 317-335

"Joseph Louis Lagrange's Algebraic Vision of the Calculus," *Historia Mathematica *14 (1987), 38-53

"J.L. Lagrange's Changing Approach to the Foundations of the Calculus of Variations," *Archive for History of Exact Sciences *32, (1985), 151-191

"D'Alembert's Principle: The Original Formulation and Application in Jean D'Alembert's *Traité de Dynamique *(1743) Part 1" *Centaurus *28 (1985), 31-61

"D'Alembert's Principle: The Original Formulation and Application in Jean D'Alembert's *Traité de Dynamique* (1743) Part 2" *Centaurus* 28 (1985), 145-159

Essay review of J.T. Cannon and S. Dostrovsky's *The Evolution of Dynamics: Vibration Theory 1687-1742*, in *Bulletin of the American Mathematical Society* 9 (1983):107-111

"J.L. Lagrange's Early Contributions to the Principles and Methods of Mechanics," *Archive for History of Exact Sciences *28, (1983), 197-241