Concise text introduces numerical analysis as a practical, problem-solving discipline, focusing on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. A knowledge of advanced calculus is assumed. 1979 edition.
Here's a sample of other books in this Dover category
Numerical Methods for Scientists and Engineers by Richard Hamming This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, other topics. Revised and enlarged 2nd edition.
Introduction to Numerical Analysis : Second Edition by F. B. Hildebrand Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
Analysis of Numerical Methods by Eugene Isaacson, Herbert Bishop Keller Excellent advanced-undergraduate and graduate text covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, much more. Features examples and problems. 1966 edition. Bibliography.
Interpolation: Second Edition by J. F. Steffensen In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines." Topics include displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 edition.
The Theory of Matrices in Numerical Analysis by Alston S. Householder This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.
Theory of Approximation by N. I. Achieser Graduate-level text by a pioneer of modern developments in approximation theory approaches the subject from the standpoint of functional analysis. Clear treatments of classical topics and an extensive section of problems and applications.