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MATHEMATICS 165
modular systems with applications to algebraic functions; comparison of
recent theories of algebraic numbers.
(Kot given in 1929-1930.)
Instructor: Bell.
Ma. 140 b. SEMINAR (II) IN ALGEBRA AND THE THEORY OF NUlIIBERS.
9 units, third term.
Prerequisite: Graduate standing. (A course in elliptic functions desirable.)
Applications of algebra and special functions to the theory of numbers.
Instructor; Bell.
Ma. 141 a, b, c. SEMINAR IN ELLIPTIC FUNCTIONS AND ANALYSIS. 6
units; first, second and third terms.
Prerequisite: Graduate standing in Mathematics, including a course
in Complex Variable.
The theories of Jacobi, Hermite, and Weierstrass will be developed
and applied, particularly to algebra and the theory of numbers.
(Kot given in 19'29-1930.)
Instructor: Bell.
Ma. 14.5 a, b, c. SEMIXAR IN CONTIXUOUS GROUPS. 9 units; first,
second, and third terms.
Prerequisite: Graduate standing in Mathematics.
Lie's theory of r-parameter groups; differential geometry of the
group manifold. Groups of functional transformations; invariant functionals;
differential geometries of function spaces.
Instructor: Michal.
Ma. 146 a, b, c. SE1IHNAR IN FUNCTIONALS AND FUNCTIONAL EQUA­
TIONS. 10 units; first, second, and third terms.
Prerequisite: Graduate standing in Mathematics.
Selected topics in the theory of differential and integral equations.
Differential and integral invariants. Algebra and analysis of functionals.
Tensor analysis and its generalizations to function space.
Instructor: Michal.
One or two of courses Ma. llS, 121, 14.5, 146, will be given according
to demand.