In this book, various numerical methods are discussed in a comprehensive way. It delivers a mixture of theory, examples and MATLAB practicing exercises to help the students in improving their skills. To understand the MATLAB programming in a friendly style, the examples are solved. The MATLAB codes are mentioned in the end of each topic. Throughout the text, a balance between theory, examples and programming is maintained. This book has been designed specifically for research scholars who want to study and apply numerical methods in science and engineering by using MATLAB®. The language is comprehensive and sufficient explanation is provided so that scholars can get insight into the numerical techniques and understand them easily. I have been teaching this subject for the last six years and have witnessed that many students are facing problems understanding MATLAB. By keeping this in mind, I have written this book so that any science or engineering scholar can easily solve problems through MATLAB. The numerical methods are explained; however, the main theme is to objectify use of numerical methods through MATLAB software. Every presented method has been explained with examples. The main steps which are kept in mind for MATLAB programming are elaborated in the form of an algorithm and the codes are developed.