### Students

Egbert J. Miles :The absolute minimum of a definite integral in a special field University of Chicago, Ph.D. 1910 |

Marion Ballantyne White :The dependence of the focal point on curvature in space problems of the Calculus of Variations University of Chicago, Ph.D. 1910 |

Lloyd Lyne Dines :The highest common factor of a system of polynomials, with an application to implicit functions University of Chicago, Ph.D. 1911 |

Charles Albert Fischer :A generalization of Volterra’s derivative of a function of a curve University of Chicago, Ph.D. 1913 |

William Vernon Lovitt :A type of singular points for a transformation of three variables University of Chicago, Ph.D. 1914 |

David Melville Smith :Jacobi’s condition for the problem of Lagrange in the Calculus of Variations University of Chicago, Ph.D. 1916 |

Archibald Sherard Merrill :An isoperimetric problem with variable end points University of Chicago, Ph.D. 1916 |

Gillie Aldah Larew :Necessary conditions for the problem of Mayer in the Calculus of Variations University of Chicago, Ph.D. 1916 |

Elizabeth Flora Le Sturgeon :Minima of functions of lines University of Chicago, Ph.D. 1917 |

Kenneth Worcester Lamson :A general Implicit Function Theorem, with an application to problems of relative minimum University of Chicago, Ph.D. 1917 |

William Pinkerton Ott :The general problem of the type of the brachistochrone with variable endpoints University of Chicago, Ph.D. 1917 |

Isaac Albert Barnett :Differential equations with a continuous infinitude of variables University of Chicago, Ph.D. 1918 |

Joel David Eshleman :The Lagrange problem in parametric form in the Calculus of Variations University of Chicago, Ph.D. 1922 |

Elbert Howard Clarke :On the minimum of the sum of a definite integral and a function of a point University of Chicago, Ph.D. 1922 |

Jewell Constance Hughes :A problem in the Calculus of Variations in which one endpoint is variable on a one-parameter family of curves University of Chicago, Ph.D. 1924 |

James Henry Taylor :A generalization of Levi-Civita’s parallelism and the Frenet formulas University of Chicago, Ph.D. 1924 |

Lawrence Murray Graves :The derivative as independent function in the Calculus of Variations University of Chicago, Ph.D. 1924 |

Harvey Alexander Simmons :The first and second variation of double integral for the case of variable limits University of Chicago, Ph.D. 1925 |

Marion Elizabeth Stark :A self-adjoint boundary-value problem associated with a problem of the Calculus of Variations University of Chicago, Ph.D. 1926 |

Irvine Rudsdale Pounder :A method of successive approximations for a partial differential equation of hyperbolic type University of Chicago, Ph.D. 1926 |

David Roy Davis :The inverse problem of the Calculus of Variations in higher space University of Chicago, Ph.D. 1927 |

Frederic Richard Bamforth :A classification of boundary-value problems for a system of ordinary differential equations of the second order University of Chicago, Ph.D. 1927 |

Ernest Lloyd Mackie :The Jacobi condition for a problem of Mayer with variable end points University of Chicago, Ph.D. 1927 |

Thomas Frederic Cope :An analogue of Jacobi’s condition for the problem of Mayer with variable end points University of Chicago, Ph.D. 1927 |

Rosa Lea Jackson :The boundary-value problem of the second variation for parametric problems in the Calculus of Variations University of Chicago, Ph.D. 1928 |

Marie Mathilda Johnson :Tensors of the Calculus of Variations University of Chicago, Ph.D. 1928 |

Lincoln La Paz :An inverse problem of the Calculus of Variations University of Chicago, Ph.D. 1928 |

Arthur Owen Hickson :An application of the Calculus of Variations to boundary-value problems University of Chicago, Ph.D. 1928 |

Harold Hardesty Downing :Absolute minima for space problems of the Calculus of Variations in parametric form University of Chicago, Ph.D. 1929 |

Aline Huke :An historical and critical study of the Fundamental Lemma in the Calculus of Variations University of Chicago, Ph.D. 1930 |

Edward James McShane :Semi-continuity in the Calculus of Variations, and absolute minima for isoperimetric problems University of Chicago, Ph.D. 1930 |

William Larkin Duren, Jr. :The development of sufficient conditions in the Calculus of Variations University of Chicago, Ph.D. 1930 |

Moffatt Grier Boyce :An envelope theorem and necessary conditions for a problem of Mayer with variable end-points University of Chicago, Ph.D. 1930 |

Frank Lynwood Wren :A new theory of parametric problems in the Calculus of Variations University of Chicago, Ph.D. 1930 |

David Anton Frederick Robinson :Fourier expansions of pseudo doubly periodic functions with applications University of Chicago, Ph.D. 1930 |

Ralph Grafton Sanger :Functions of lines and the Calculus of Variations University of Chicago, Ph.D. 1931 |

Max Coral :The Euler–Lagrange multiplier rule for double integrals University of Chicago, Ph.D. 1931 |

Kuen-Sen Hu :The problem of Bolza and its accessory boundary-value problem University of Chicago, Ph.D. 1932 |

Albert William Raab :Jacobi’s condition for multiple integral problems of the Calculus of Variations University of Chicago, Ph.D. 1932 |

Magnus Rudolph Hestenes :Sufficient conditions for the general problem of Mayer with variable end-points University of Chicago, Ph.D. 1932 |

Julia Wells Bower :The problem of Lagrange with finite side conditions University of Chicago, Ph.D. 1933 |

Byron Cosby, II :Fields for multiple integrals in the Calculus of Variations University of Chicago, Ph.D. 1934 |

Irwin Earl Perlin :Sufficient conditions for a minimum in the problem of Lagrange with isoperimetric conditions University of Chicago, Ph.D. 1935 |

Ross Harvey Bardell :The inequalities of Morse for a parametric problem of the Calculus of Variations University of Chicago, Ph.D. 1936 |

Evelyn Prescott Wiggin :A boundary-value problem of the Calculus of Variations University of Chicago, Ph.D. 1936 |

Alston Scott Householder :The dependence of a focal point upon curvature in the Calculus of Variations University of Chicago, Ph.D. 1937 |

Carl Herbert Denbow :A generalized form of the problem of Bolza University of Chicago, Ph.D. 1937 |

Frederick Albert Valentine :The problem of Lagrange with differential inequalities as added side conditions University of Chicago, Ph.D. 1937 |

Nathan Abraham Moscovitch :Studies of the inverse problem of the Calculus of Variations University of Chicago, Ph.D. 1937 |

Carroll Parker Brady :The minimum of a function of integrals in the Calculus of Variations University of Chicago, Ph.D. 1938 |

Ellen Clayton Stokes :Applications of the covariant derivative of Cartan in the Calculus of Variations University of Chicago, Ph.D. 1939 |

Mary Kenny Landers :The Hamilton–Jacobi theory for the problems of Bolza and Mayer University of Chicago, Ph.D. 1939 |

Edward Alfred Nordhaus :The problem of Bolza for double integrals in the Calculus of Variation University of Chicago, Ph.D. 1939 |

Aubrey Wilfred Landers, Jr. :Invariant multiple integrals in the Calculus of Variations University of Chicago, Ph.D. 1939 |