Sentence examples for the theory of functions from inspiring English sources
A. N. Kolmogorov and S. V. Fomin, Introductory Real Analysis, Dover Publications, 1975. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Dover Publications, 1999.
*Requires of the reader a solid background in real and complex analysis together with some previous experience with the theory of functions of several complex variables as well as the elements of functional analysis.
The theory of functions of a complex variable was also being decisively reformulated.
He also made important contributions to the theory of functions, complex analysis, and number theory.
Without doubt his work is a great advance in the theory of functions on Riemann surfaces.
Gudermann cultivated Weierstrass's interest in the theory of functions with emphasis on the expansion of functions by power series.
They hold a banquet annually, and discuss such subjects as the theory of function, differential equations, etc.
After 1939 Titchmarsh concentrated his research on the theory of function expansion in eigenfunctions (see eigenvalue) of differential equations, an area of vital importance to quantum field theory, and published many of his results in Eigenfunction Expansions Associated with Second-Order Differential Equations (Part 1, 1946; Part 2, 1958).
They are collectively titled: Introduction into the Study of the Theory of Functions--Lectures Delivered at J.H.U. in 1895-96 by Alexandre S. Chessin--Part I. Functions of Real Variables.
The International Meetings on Approximation Theory attempt to keep track in particular of fun damental advances in the theory of function approximation, for example by (or thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others.
Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves.
