Concise but wide-ranging, this text provides an introduction to methods of approximating continuous functions by functions that depend only on a finite number of parameters — an important technique in the field of digital computation. Written for upper-level graduate students, it presupposes a knowledge of advanced calculus and linear algebra. 1969 edition. Unabridged republication of the 1969 edition.
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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.
Mathematical Methods for Physicists and Engineers: Second Corrected Edition by Royal Eugene Collins Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Fundamentals of Number Theory by William J. LeVeque Basic treatment, incorporating language of abstract algebra and a history of the discipline. Unique factorization and the GCD, quadratic residues, sums of squares, much more. Numerous problems. Bibliography. 1977 edition.
