An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition. Republication of the New York, 1962 edition.
Theory of Approximation of Functions of a Real Variable by A. F. Timan Excellent graduate-level monograph investigates relationship between real functions and polynomials and other functions of simple construction. Based upon theorems by Weierstrass, P. L. Chebyshev, S. N. Bernstein. Supplementary problems and theorems. 1963 edition.
Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard W. Hamming This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.