The rapid advances made in high speed computing and the revision of curriculum of undergraduate and postgraduate programs both at national and international levels have led to many need based changes and new features in this edition causing it to differ substantially from the first edition. Although numerical methods have always been useful, their role in the present day scientific computations and research is of fundamental importance. The contents of this self-contained text book on computational numerical methods have been organized in a logical order and the topics are discussed in a systematic manner.