Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography. 1974 edition.
Here's a sample of other books in this Dover category
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.
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.