The calculus of variations, Topological Methods in the Theor, Global variational analysis, Variational Analysis: Critical E, Lectures by Marston Morse on
Marston Morse - Inverse Mean Curvature Flow and Isoperimetric Inequalities
Biography
He was born in Waterville, Maine to Ella Phoebe Marston and Howard Calvin Morse in 1892. He received his bachelor's degree from Colby College (also in Waterville) in 1914. At Harvard University, he received both his master's degree in 1915 and his Ph.D. in 1917.
He taught at Harvard, Brown, and Cornell Universities before accepting a position in 1935 at the Institute for Advanced Study in Princeton, where he remained until his retirement in 1962.
Marston Morse should not be confused with Anthony Morse, famous for the Morse–Sard theorem.
Articles
"A fundamental class of geodesics on any closed surface of genus greater than one". Trans. Amer. Math. Soc. 26 (1): 25–60. 1924. MR 1501263. doi:10.1090/s0002-9947-1924-1501263-9.
"The foundations of a theory in the calculus of variations in the large". Trans. Amer. Math. Soc. 30 (2): 213–274. 1928. MR 1501428. doi:10.1090/s0002-9947-1928-1501428-x.
"Singular points of vector fields under general boundary conditions". Proc Natl Acad Sci U S A. 14 (5): 428–430. 1928. PMC 1085532 . PMID 16577120. doi:10.1073/pnas.14.5.428.
"The critical points of functions and the calculus of variations in the large". Bull. Amer. Math. Soc. 35 (1): 38–54. 1929. MR 1561686. doi:10.1090/s0002-9904-1929-04690-1.
"The foundations of the calculus of variations in the large in m-space (first paper)". Trans. Amer. Math. Soc. 31 (3): 379–404. 1929. MR 1501489. doi:10.1090/s0002-9947-1929-1501489-9.
"Closed extremals". Proc Natl Acad Sci U S A. 15 (11): 856–859. 1929. PMC 522574 . PMID 16577255. doi:10.1073/pnas.15.11.856.
"The foundations of a theory of the calculus of variations in the large in m-space (second paper)". Trans. Amer. Math. Soc. 32 (4): 599–631. 1930. MR 1501555. doi:10.1090/s0002-9947-1930-1501555-6.
"The critical points of a function of n variables". Trans. Amer. Math. Soc. 33 (1): 72–91. 1931. MR 1501576. doi:10.1090/s0002-9947-1931-1501576-4.
"Sufficient conditions in the problem of Lagrange without assumptions of normalcy". Trans. Amer. Math. Soc. 37 (1): 147–160. 1935. MR 1501780. doi:10.1090/s0002-9947-1935-1501780-9.
with Walter Leighton: "Singular quadratic functions". Trans. Amer. Math. Soc. 40 (2): 252–288. 1936. MR 1501873. doi:10.1090/s0002-9947-1936-1501873-7.
with Gustav A. Hedlund: "Manifolds without conjugate points". Trans. Amer. Math. Soc. 51 (2): 362–386. 1942. MR 006479. doi:10.1090/s0002-9947-1942-0006479-x.
"Homology relations on regular orientable manifolds". Proc Natl Acad Sci U S A. 38 (3): 247–258. 1952. PMC 1063540 . PMID 16589087. doi:10.1073/pnas.38.3.247.
Books
Calculus of variations in the large, American Mathematical Society, 1934