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16t
CALIFORNIA INSTITUTE OF TECHNOLOGY
Ma. 119 a, b, c. MATHE:\L\TICAL ANALYSIS. 15 units; first, second and
third terms.
Prerequisites: Ma. 8 a, b, c, 10 a, b, c.
Fourier series and integrals, functions of Legendre, Bessel; the
fundamental equations of mathematical physics; functions of a complex
variable. Numerous applications to physical problems; tensor analysis.
Texts: Byerly's Fourier Series and Spherical Harmonics; Curtis,
Complex Variable; MacRobert, Functions of a Complex Variable; Edrlington,
:\fathematical Theory of Relativity; assigned readings.
Instructor: BelL
:\J a. 120. MODERN i\NALYSIS. 15 units; first, second, and third terms.
Prerequisites: Ma. 8 a, b, c, 10 a, b, c.
Theory of convergence, integration and residues, expansions of fUlIctions
in infinite series, asymptotic and divergent series. Fourier series.
Differential equations and function theory, integral equations, the gamma
function and the zeta function, the hyper geometric function and relaterl
functions of mathematical physics, elliptic functions, eIlipsoirla I
harmonics.
Text: Whittaker and Watson, Modern Analysis.
Instructor: Bateman.
Ma. lZl a, b, c. FUNCTIONM,S AND FUNCTIONAL EQUATIONS. 15 units;
first, second, and third terms.
Prerequisite: Graduate standing in Mathematics, including a course
in Analysis.
Functional operations; permutable functions, functions of composition;
integral equations, integro-differential equations, partial differential
equations of the second order; differentials of functionals, functional
equations with functional derivatives; infinite matrices.
(Not given in 1929-1930.)
Instructor: :Nlichal.
Ma. 122. RELATI\TI'Y. 15 units; third term.
Prerequisites: Ma. 8, 10; Ph. 1, B.
Tensor analysis; the general theory of relativity and gravitation.
Instructor: Bell.
Ma. 140 a. SEMINAR (I) IN ALGEBRA AND THE THEORY OF NUMBERS.
9 units; third term.
Prerequisites: Graduate standing.
The Dedekind theory of algebraic numbers, Kronecker's theory of