The field of computational mathematics deals with two different aspects of relations between mathematics and computing. Firstly, it is concerned with using mathematics for the improvement of computer computation in applied mathematics. Secondly, it focuses on the use of computers for mathematical computations. Computational mathematics focuses on mathematical research in those areas of science where computing plays an important role. There are several significant areas of computational mathematics such as numerical methods for scientific computation, computational algebraic geometry, computational linguistics, computational group theory, computational complexity, mathematical economics, among others. This book traces the progress of this field and highlights some of its key concepts and applications. It strives to provide a fair idea about this discipline and to help develop a better understanding of the models and methods of computational mathematics. It is a vital tool for all researching and studying this field.