This book will be very helpful to the students of Mathematics and Computer Science. Students will learn about numerical differentiation, integration and how to find roots numerically. They will learn some merits and demerits of different numerical methods. This book has represented some algorithms which will advance for writing algorithm. Some C codes has been presented here, those are very helpful to write another complex C codes. I hope they will learn some Numerical methods with its applications. This book will help the students to learn and understand about Numerical Analysis and its implementation in computing.