### Gilbert Ames Bliss: ~~1876–1951~~

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The geodesic lines on the anchor ring. Ph.D. thesis, University of Chicago, 1900. Advised by O. Bolza. MR 2936782

:The second variation of a definite integral when one end-point is variable,” Trans. Amer. Math. Soc. 3 : 1 (1902), pp. 132–141. MR 1500591 JFM 33.0385.01

: “Jacobi’s criterion when both end-points are variable,” Math. Ann. 58 : 1–2 (1903), pp. 70–80. MR 1511229 JFM 34.0402.01

: “An existence theorem for a differential equation of the second order, with an application to the Calculus of Variations,” Trans. Amer. Math. Soc. 5 : 2 (1904), pp. 113–125. MR 1500665 JFM 35.0340.01

: “The solutions of differential equations of the first order as functions of their initial values,” Ann. of Math. (2) 6 : 2 (January 1905), pp. 49–68. MR 1503546 JFM 36.0389.01

: “A problem of the Calculus of Variations in which the integrand is discontinuous,” Trans. Amer. Math. Soc. 7 : 2 (1906), pp. 325–336. MR 1500752 JFM 37.0402.01

: “A generalization of the notion of angle,” Trans. Amer. Math. Soc. 7 : 2 (1906), pp. 184–196. MR 1500741 JFM 37.0490.01

: “A new form of the simplest problem of the Calculus of Variations,” Trans. Amer. Math. Soc. 8 : 3 (1907), pp. 405–414. MR 1500795 JFM 38.0408.01

: “The properties of curves in space which minimize a definite integral,” Trans. Amer. Math. Soc. 9 : 4 (1908), pp. 440–466. MR 1500821 JFM 39.0441.01

: “On the inverse problem of the Calculus of Variations,” Ann. of Math. (2) 9 : 3 (April 1908), pp. 127–140. MR 1502361 JFM 39.0445.01

: “Fields of extremals in space,” Trans. Amer. Math. Soc. 11 : 3 (1910), pp. 325–340. MR 1500866 JFM 41.0437.01

: “A new proof of Weierstrass’s theorem concerning the factorization of a power series,” Bull. Amer. Math. Soc. 16 : 7 (1910), pp. 356–359. MR 1558920 JFM 41.0286.03

: “A new proof of the existence theorem for implicit functions,” Bull. Amer. Math. Soc. 18 : 4 (1912), pp. 175–179. MR 1559180 JFM 43.0483.04

: “A generalization of Weierstrass’ preparation theorem for a power series in several variables,” Trans. Amer. Math. Soc. 13 : 2 (April 1912), pp. 133–145. MR 1500910 JFM 43.0504.02

: “Fundamental existence theorems,” pp. i–ii,1–107 in The Princeton Colloquium (Princeton University, 15–17 September 1909), part 1. American Mathematical Society (New York), 1913. JFM 44.0365.01

: “The minimum of a definite integral for unilateral variations in space,” Trans. Amer. Math. Soc. 15 : 3 (1914), pp. 291–310. MR 1500981 JFM 45.0605.03

: “Generalizations of geodesic curvature and a theorem of Gauss concerning geodesic triangles,” Amer. J. Math. 37 : 1 (January 1915), pp. 1–18. MR 1507894 JFM 45.0859.02

: “Jacobi’s condition for problems of the Calculus of Variations in parametric form,” Trans. Amer. Math. Soc. 17 : 2 (April 1916), pp. 195–206. MR 1501037 JFM 46.0758.03

: “Solutions of differential equations as functions of the constants of integration,” Bull. Amer. Math. Soc. 25 : 1 (1918), pp. 15–26. MR 1560139 JFM 47.0940.01

: “A method of computing differential corrections for a trajectory,” J. U.S. Artillery 51 (1919), pp. 445–449. Corrected copy of earlier printing in vol. 50 (pp. 455–460).

: “The use of adjoint systems in the problem of differential corrections for a trajectory,” J. U.S. Artillery 51 (1919), pp. 296–311.

: “Differential corrections for anti-aircraft guns. Technical report, Aberdeen Proving Ground, 1919.

:Functions of lines in ballistics,” Trans. Amer. Math. Soc. 21 : 2 (1920), pp. 93–106. MR 1501138 JFM 47.0382.02

: “Differential equations containing arbitrary functions,” Trans. Amer. Math. Soc. 21 : 2 (1920), pp. 79–92. MR 1501137

: “Birational transformations simplifying singularities of algebraic curves,” Trans. Amer. Math. Soc. 24 : 4 (1922), pp. 274–285. MR 1501226 JFM 50.0266.02

: “The reduction of singularities of plane curves by birational transformation,” Bull. Amer. Math. Soc. 29 : 4 (1923), pp. 161–183. Presidential address delivered before the American Mathematical Society, December 28, 1922. MR 1560693 JFM 49.0264.01

: “Algebraic functions and their divisors,” Ann. of Math. (2) 26 : 1–2 (September–October 1924), pp. 95–124. MR 1502680 JFM 50.0699.03

: “A boundary value problem in the Calculus of Variations,” Bull. Amer. Math. Soc. 32 : 4 (1926), pp. 317–331. MR 1561219 JFM 52.0509.02

: “A boundary value problem for a system of ordinary linear differential equations of the first order,” Trans. Amer. Math. Soc. 28 : 4 (1926), pp. 561–584. MR 1501366 JFM 52.0453.13

: “The transformation of Clebsch in the Calculus of Variations,” pp. 589–603 in Proceedings of the International Mathematical Congress (Toronto, 11–16 August 1924), vol. 1. Edited by J. C. Fields. University of Toronto Press, 1928. JFM 54.0532.03

: “The problem of Lagrange in the Calculus of Variations,” Amer. J. Math. 52 : 4 (October 1930), pp. 673–744. MR 1506783 JFM 56.0435.01

: “On separation, comparison and oscillation theorems for self-adjoint systems of linear second order differential equations,” Amer. J. Math. 53 : 4 (October 1931), pp. 781–800. MR 1506854 JFM 57.0528.01 Zbl 0003.25702

: “Topics of the Calculus of Variations. Edited by G. Bliss. University of Chicago, 1932. Principally a report on lectures by E. J. McShane and Richard Courant.

Algebraic functions. AMS Colloquium Publications 16. American Mathematical Society (New York), 1933. JFM 59.0384.03 Zbl 0008.21004

:The Calculus of Variations, multiple integrals. University of Chicago, 1933. MR 2936825

:Definitely self-adjoint boundary value problems,” Trans. Amer. Math. Soc. 44 : 3 (1938), pp. 413–428. MR 1501974 JFM 64.0438.02 Zbl 0020.03204

: “The Calculus of Variations for multiple integrals,” Amer. Math. Monthly 49 : 2 (February 1942), pp. 77–89. MR 0006022 Zbl 0063.00455

: “Lectures on the calculus of variations. University of Chicago Press (Chicago, IL), 1946. MR 0017881 Zbl 0063.00459

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