Gilbert Ames Bliss, $1876-1951$

Author:
L. M. Graves

Journal:
Bull. Amer. Math. Soc. **58** (1952), 251-264

DOI:
https://doi.org/10.1090/S0002-9904-1952-09597-5

MathSciNet review:
0046969

Full-text PDF Free Access

References | Additional Information

**1.**G. A. Bliss,*Fundamental existence theorems*, The Princeton Colloquium, American Mathematical Society, 1913, Part I (reprinted from 1913 edition, 1934), 2 + 107 pp.**2.**G. A. Bliss,*Calculus of variations*, Carus Mathematical Monograph, no. 1, Chicago, Open Court, 1925 (second impression February 1927), 13 + 189 pp.**3.**G. A. Bliss,*Variationsrechnung*, a translation into German by F. Schwank of Bliss,*The calculus of variations*(above), Leipzig, Teubner, 1932, 8 + 127 pp.**4.**G. A. Bliss,*Algebraic functions*. Amer. Math. Soc. Colloquium Publications, vol. 16, 1933, 6+218 pp. MR**203007****5.**G. A. Bliss,*Mathematics for exterior ballistics*, New York, Wiley, 1944, 7 + 128 pp. MR**10480****6.**G. A. Bliss,*Lectures on the calculus of variations*, University of Chicago Press, 1946, 9+296 pp. MR**17881****7.**G. A. Bliss,*The function concept and the fundamental notions of the calculus*, Chapter VI, pp. 263-304, of Monographs on topics of modern mathematics, ed. by J. W. A. Young, Longmans Green, 1911.**1.**G. A. Bliss,*The problem of Lagrange in the calculus of variations*, University of Chicago, Summer 1925 (prepared by O. E. Brown), 2+75 pp.**2.**G. A. Bliss,*Topics of the calculus of variations*, University of Chicago, Spring 1932 (ed. by G. A. Bliss), 5+67 pp. (principally report of lectures by E. J. McShane, and by Richard Courant).**3.**G. A. Bliss,*The calculus of variations, multiple integrals*, University of Chicago, Summer 1933, 3 + 108 pp., Spring 1939, 3+88 pp.**4.**G. A. Bliss,*The calculus of variations in three-space*, University of Chicago, Autumn 1934, 3 + 123 pp., Autumn 1938, 4+320 pp.**5.**G. A. Bliss,*The problem of Bolza in the calculus of variations*, University of Chicago, Winter 1935, 7 + 140 pp.**1.**G. A. Bliss, ed.*Contributions to the calculus of variations*, 1930 (ed. with L. M. Graves), University of Chicago Press, 1931, 7+349 pp.**2.**G. A. Bliss, ed.*Contributions to the calculus of variations*, 1931-32 (ed. with L. M. Graves), University of Chicago Press, 1933, 7+523 pp.**3.**G. A. Bliss, ed.*Contributions to the calculus of variations*, 1933-37 (ed. with L. M. Graves and W. T. Reid), University of Chicago Press, 1937, 7+566 pp.**4.**G. A. Bliss, ed.*Contributions to the calculus of variations*, 1938-41 (ed. with L. M. Graves, M. R. Hestenes, and W. T. Reid), University of Chicago Press, 1942, 7+527 pp.**1.**G. A. Bliss,*The geodesic lines on the anchor ring*(Master's thesis), University of Chicago, Typewritten.**2.**G. A. Bliss,*The motion of a heavenly body in a resisting medium*, Popular Astronomy vol. 6 (1898) pp. 20-29.**3.**G. A. Bliss,*The geodesic lines on the anchor ring*(Doctor's thesis), Ann. of Math. vol. 4 (1902) pp. 1-21. MR**1502291****4.**G. A. Bliss,*The second variation of a definite integral when one end-point is variable*, Trans. Amer. Math. Soc. vol. 3 (1902) pp. 132-141. MR**1500591****5.**G. A. Bliss,*Jacobi's criterion when both end points are variable*, Math. Ann. vol. 58 (1904) pp. 70-80.**6.**G. A. Bliss,*An existence theorem for a differential equation of the second order, with an application to the calculus of variations*, Trans. Amer. Math. Soc. vol. 5 (1904) pp. 113-125. MR**1500665****7.**G. A. Bliss,*Sufficient conditions for a minimum with respect to one sided variations*, Trans. Amer. Math. Soc. vol. 5 (1904) pp. 477-492. MR**1500686****8.**G. A. Bliss,*The exterior and interior of a plane curve*, Bull. Amer. Math. Soc. vol. 10 (1904) pp. 398-401.**9.**G. A. Bliss,*The solutions of differential equations of the first order as functions of their initial values*, Ann. of Math. vol. 6 (1905) pp. 49-68. MR**1503546****10.**G. A. Bliss,*A proof of the fundamental theorem of analysis situs*, Bull. Amer. Math. Soc. vol. 12 (1906) pp. 336-341.**11.**G. A. Bliss,*A generalization of the notion of angle*, Trans. Amer. Math. Soc. vol. 7 (1906) pp. 184-196. MR**1500741****12.**G. A. Bliss, (With Max Mason)*A problem of the calculus of variations in which the integrand is discontinuous*, Trans. Amer. Math. Soc. vol. 7 (1906) pp. 325-336. MR**1500752****13.**G. A. Bliss,*The construction of a field of extremals about a given point*, Bull. Amer. Math. Soc. vol. 13 (1907) pp. 321-324.**14.**G. A. Bliss,*A new form of the simplest problem of the calculus of variations*, Trans. Amer. Math. Soc. vol. 8 (1907) pp. 405-414. MR**1500795****15.**G. A. Bliss,*On the inverse problem of the calculus of variations*, Ann. of Math. vol. 9 (1908) pp. 127-140. MR**1502361****16.**G. A. Bliss,*A method of deriving Euler's equation in the calculus of variations*, Amer. Math. Monthly vol. 15 (1908) pp. 47-54. MR**1516998****17.**G. A. Bliss, (With Max Mason)*Properties of curves in space which minimize a definite integral*, Trans. Amer. Math. Soc. vol. 9 (1908) pp. 440-466. MR**1500821****18.**G. A. Bliss,*A new proof of Weierstrass theorem concerning the factorization of a power series*, Bull. Amer. Math. Soc. vol. 16 (1910) pp. 356-359.**19.**G. A. Bliss, (With Max Mason)*Fields of extremals in space*, Trans. Amer. Math. Soc. vol. 11 (1910) pp. 325-340. MR**1500866****20.**G. A. Bliss,*A new proof of the existence theorem for implicit functions*, Bull. Amer. Math. Soc. vol. 18 (1912) pp. 175-179.**21.**G. A. Bliss,*A generalization of Weierstrass preparation theorem for a power series in several variables*, Trans. Amer. Math. Soc. vol. 13 (1912) pp. 133-145. MR**1500910****22.**G. A. Bliss,*Note on symmetric matrices*, Ann. of Math. vol. 16 (1914) pp. 43-44. MR**1502486****23.**G. A. Bliss,*A substitute for Duhamel's theorem*, Ann. of Math. vol. 16 (1914) pp. 45-49. MR**1502487****24.**G. A. Bliss, (With F. B. Wiley)*A method of subdividing the interior of a simply closed rectifiable curve with an application to Cauchy's theorem*, Bulletin of the Scientific Laboratories of Denison University vol. 17 (1914) pp. 375-389.**25.**G. A. Bliss, (With A. L. Underhill)*The minimum of a definite integral for unilateral variations in space*, Trans. Amer. Math. Soc. vol. 15 (1914) pp. 291-310. MR**1500981****26.**G. A. Bliss,*The Weierstrass E-function for problems of the calculus of variations in space*, Trans. Amer. Math. Soc. vol. 15 (1914) pp. 369-378. MR**1500985****27.**G. A. Bliss,*Generalizations of geodesic curvature and a theorem of Gauss concerning geodesic triangles*, Amer. J. Math. vol. 37 (1915) pp. 1-18. MR**1507894****28.**G. A. Bliss,*A note on functions of lines*, Proc. Nat. Acad. Sci. U.S.A. vol. 1 (1915) pp. 173-177.**29.**G. A. Bliss,*A note on the problem of Lagrange in the calculus of variations*, Bull. Amer. Math. Soc. vol. 22 (1916) pp. 220-225.**30.**G. A. Bliss,*Jacobi's condition for problems of the calculus of variations in parametric form*, Trans. Amer. Math. Soc. vol. 17 (1916) pp. 195-206. MR**1501037****31.**G. A. Bliss,*Integrals of Lebesgue*, Bull. Amer. Math. Soc. vol. 24 (1917) pp. 1-47.**32.**G. A. Bliss,*A necessary and sufficient condition for the existence of a Stieltjes integral*, Proc. Nat. Acad. Sci. U.S.A. vol. 3 (1917) pp. 633-637.**33.**G. A. Bliss,*Solutions of differential equations as functions of the constants of integration*, Bull. Amer. Math. Soc. vol. 25 (1918) pp. 15-26.**34.**G. A. Bliss,*The problem of Mayer with variable end points*, Trans. Amer. Math. Soc. vol. 19 (1918) pp. 305-314. MR**1501104****35.**G. A. Bliss,*A method of computing differential corrections for a trajectory*, Journal of the United States Artillery vol. 51 (1919) pp. 445-449, corrected reprint of earlier article in vol. 50 (1919) pp. 455-460.**36.**G. A. Bliss,*The use of adjoint systems in the problem of differential corrections for a trajectory*, Journal of the United States Artillery vol. 51 (1919) pp. 296-311.**37.**G. A. Bliss,*Differential corrections for anti-aircraft guns*, Blueprint in files at Aberdeen Proving Grounds (1919).**38.**G. A. Bliss,*Some recent developments in the calculus of variations*, Bull. Amer. Math. Soc. vol. 26 (1920) pp. 343-361.**39.**G. A. Bliss,*Differential equations containing arbitrary functions*, Trans. Amer. Math. Soc. vol. 21 (1920) pp. 79-92. MR**1501137****40.**G. A. Bliss,*Functions of lines in ballistics*, Trans. Amer. Math. Soc. vol. 21 (1920) pp. 93-106. MR**1501138****41.**G. A. Bliss,*Birational transformations simplifying singularities of algebraic curves*, Trans. Amer. Math. Soc. vol. 24 (1922) pp. 274-285. MR**1501226****42.**G. A. Bliss,*The reduction of singularities of plane curves by birational transformation*, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 161-183.**43.**G. A. Bliss,*Algebraic functions and their divisors*, Ann. of Math. vol. 26 (1924) pp. 95-124. MR**1502680****44.**G. A. Bliss,*The transformation of Clebsch in the calculus of variations*, Proceedings of the International Congress (of 1924) at Toronto, vol. I, 1928, pp. 589-603.**45.**G. A. Bliss,*A boundary value problem in the calculus of variations*, Bull. Amer. Math. Soc. vol. 32 (1926) pp. 317-331.**46.**G. A. Bliss,*A boundary value problem for a system of ordinary linear differential equations of the first order*, Trans. Amer. Math. Soc. vol. 28 (1926) pp. 561-584. MR**1501366****47.**G. A. Bliss,*Contributions that have been made by pure science to the advancement of engineering and industry. Mathematics*, The Scientific Monthly vol. 24 (1927) pp. 308-319.**48.**G. A. Bliss,*An integral inequality*, J. London Math. Soc. vol. 5 (1930) pp. 40-46.**49.**G. A. Bliss,*The problem of Lagrange in the calculus of variations*, Amer. J. Math. vol. 52 (1930) pp. 673-744. MR**1506783****50.**G. A. Bliss, (With I. J. Schoenberg)*On separation, comparison and oscillation theorems for self-adjoint systems of linear second order differential equations*, Amer. J. Math. vol. 53 (1931) pp. 781-800. MR**1506854****51.**G. A. Bliss,*The problem of Bolza in the calculus of variations*, Ann. of Math. vol. 33 (1932) pp. 261-274. MR**1503050****52.**G. A. Bliss,*The calculus of variations and the quantum theory*, Bull. Amer. Math. Soc. vol. 38 (1932) pp. 201-224.**53.**G. A. Bliss, (With I. J. Schoenberg)*On the derivation of necessary conditions for the problem of Bolza*, Bull. Amer. Math. Soc. vol. 38 (1932) pp. 858-864.**54.**G. A. Bliss,*Mathematical interpretations of geometrical and physical phenomena*, Amer. Math. Monthly vol. 40 (1933) pp. 472-480. Reprinted as chap. 8, pp. 146-158, of*A Mathematician Explains*, by M. I. Logsdon, University of Chicago Press, 1936. MR**1522896****55.**G. A. Bliss, (With M. R. Hestenes)*Sufficient conditions for a problem of Mayer in the calculus of variations*, Trans. Amer. Math. Soc. vol. 35 (1933) pp. 305-326; see also*Contributions to the calculus of variations*1931-32, The University of Chicago Press, pp. 297-337. MR**1501685****56.**G. A. Bliss,*The evolution of problems of the calculus of variations*, Amer. Math. Monthly vol. 43 (1936) pp. 598-609. MR**1523791****57.**G. A. Bliss,*Normality and abnormality in the calculus of variations*, Trans. Amer. Math. Soc. vol. 43 (1938) pp. 365-376. MR**1501950****58.**G. A. Bliss,*Definitely self-adjoint boundary value problems*, Trans. Amer. Math. Soc. vol. 44 (1938) pp. 413-428. MR**1501974****59.**G. A. Bliss,*The calculus of variations for multiple integrals*, Amer. Math. Monthly vol. 49 (1942) pp. 77-89. MR**6022****1.**G. A. Bliss, Review of*J. Pierpont, Theory of functions*, Bull. Amer. Math. Soc. vol. 13 (1906) pp. 119-130.**2.**G. A. Bliss, Review of*M. Bôcher, Integral equations*(Cambridge Tract), Bull. Amer. Math. Soc. vol. 16 (1910) pp. 207-213.**3.**G. A. Bliss, Review of*L. P. Eisenhart, Differential geometry*. Bull. Amer. Math. Soc. vol. 17 (1911) pp. 470-478.**4.**G. A. Bliss, Review of*V. Volterra, Fonctions des lignes*, Bull. Amer. Math. Soc. vol. 21 (1915) pp. 345-355.**5.**G. A. Bliss, Review of*W. F. Osgood, Topics in the theory of functions of several complex variables*(Part II of the Madison Colloquium Lectures), Bull. Amer. Math. Soc. vol. 23 (1916) pp. 35-44.**6.**G. A. Bliss, Review of*W. Blaschke, Elementare Differentialgeometrie*, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 322-325.**7.**G. A. Bliss, Review of*G. Vivanti, Elementi del calcolo delle variazioni*, Bull. Amer. Math. Soc. vol. 32 (1926) pp. 392-393. Trans. in Bolletino di Matematica vol. 22 (1926) pp. lxxxiv-lxxxvi.**8.**G. A. Bliss, Review of*A. R. Forsyth, Calculus of variations*, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 512-514.**9.**G. A. Bliss, Review of*G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities*, Science vol. 81 (1935) pp. 565-566.**1.**G. A. Bliss,*Ernest Julius Wilczynski*, Science vol. 76 (1932) pp. 316-317.**2.**G. A. Bliss,*Eliakim Hastings Moore*, Bull. Amer. Math. Soc. vol. 39 (1933) pp. 831-838.**3.**G. A. Bliss,*Eliakim Hastings Moore*, The University Record vol. 19 (1933) pp. 130-134.**4.**G. A. Bliss,*The scientific work of Eliakim Hastings Moore*, Bull. Amer. Math. Soc. vol. 40 (1934) pp. 501-514.**5.**G. A. Bliss,*Biographical memoir of Eliakim Hastings Moore, 1862-1932*, National Academy of Sciences vol. 17 (1936) pp. 83-102, Fifth Memoir (with L. E. Dickson).**6.**G. A. Bliss,*Herbert Ellsworth Slaught*, Science vol. 86 (1937) pp. 72-73 (with L. E. Dickson).**7.**G. A. Bliss,*Herbert Ellsworth Slaught*, University of Chicago Magazine, Midsummer 1937, pp. 22-24. Reprinted in Bulletin of the Kansas Association for Mathematics Teachers vol. 12 (1937) p. 3 and pp. 9-12.**8.**G. A. Bliss,*Herbert Ellsworth Slaught--In Memoriam*, Bull. Amer. Math. Soc. vol. 43 (1937) pp. 595-597.**9.**G. A. Bliss,*Herbert Ellsworth Slaught--Teacher and Friend*, Amer. Math. Monthly vol. 45 (1938) pp. 5-10. MR**1524156****10.**G. A. Bliss,*Oskar Bolza*, Science vol. 97 (1943) pp. 108-109. MR**7721****11.**G. A. Bliss,*Oskar Bolza--In Memoriam*, Bull. Amer. Math. Soc. vol. 50 (1944) pp. 478-489.

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1952-09597-5