This text on numerical computing, presented through the medium of the C++ language, is designed for students of science and engineering who are seriously studying numerical methods for the first time. It should also be of interest to computing scientists who wish to see how C++ can be used in earnest for numerical computation. A good knowledge of at least one programming language, such as Basic, Fortran or Pascal, is assumed, while a working knowledge of C would be an advantage. However, no prior knowledge of C++ is assumed. The language is developed in step with its numerical applications. What results is a powerful framework for numerical computations. As befits an introductory text, programming effort relates mostly to the classical numerical algorithms. However, greater emphasis is placed on recursive functions than is usually the case, and some interesting use is also made of recursive data structures for solving numerical problems. (view table of contents)