This book is a natural outgrowth of Numerical Analysis. It is written as a text book for the course at Graduation level and Post-Graduation level for all fields of Sciences and Engineering. There are several materials in this text book, so anyone can select the topics according to his/her need for their respective university/college examinations. This is also enriched with many interesting and harder sums in solved examples as well as in exercises. This text is also suitable for self-study and for short, intensive study for continuing education. The book is enriched with theoretical problems as well as numerical illustrations which can be truthfully utilized for students belonging to Graduation, Post- Graduation and Research level. Introduction of each chapter contains motivational points, real life examples and theoretical demonstrations which will develop the interest of the student about numerical analysis. Algorithm and codes are clearly demonstrated with specific output which helps the readers for practical examination. Several pictorial demonstrations presented in this book will help the reader for easy understanding.