ISBN: 978-81-972819-0-7
Authors: Dr. SK. Mastan, Dr. Lakshmi Sireesha Ch, Dr. K. Venkateswara Raju, Dr. Ajai Singh Yadav
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Book Description
This book is a comprehensive guide designed to equip students, engineers, and researchers with the essential tools and techniques required to solve complex numerical problems encountered in various fields of science and engineering.
Numerical methods play a pivotal role in modern problem-solving scenarios where analytical solutions are often impractical or even impossible to obtain. These methods provide us with a systematic approach to approximate solutions through the use of algorithms, computational techniques, and mathematical modeling.
In this book, we delve into a diverse array of numerical methods, ranging from fundamental techniques such as root finding, interpolation, and numerical differentiation to more advanced topics like numerical integration, solution of linear and nonlinear equations, and numerical solutions of ordinary and partial differential equations.
One of the primary objectives of this book is to bridge the gap between theoretical concepts and practical applications. We believe that a solid understanding of numerical methods is best achieved through hands-on experience. Therefore, this book emphasizes not only the theoretical underpinnings of each method but also provides numerous examples, exercises, and computer-based implementations using popular programming languages such as Python, MATLAB, or Julia.
The content of this book is structured to facilitate progressive learning, starting from basic principles and gradually advancing to more sophisticated techniques. Each chapter begins with a concise introduction to the topic, followed by detailed explanations of relevant methods, illustrated with practical examples and accompanied by step-by-step algorithms.
Moreover, to enhance comprehension and facilitate self-assessment, each chapter concludes with a set of exercises ranging from straightforward problems to more challenging tasks. Additionally, solutions to selected exercises are provided at the end of the book, enabling readers to verify their understanding and consolidate their knowledge.
While this book is primarily intended for students pursuing courses in numerical methods, it is also a valuable resource for practicing engineers, scientists, and researchers who encounter numerical challenges in their professional endeavors.
We would like to express our gratitude to the numerous authors, researchers, and educators whose work has inspired and influenced the content of this book. We also extend our appreciation to the reviewers and colleagues who provided invaluable feedback and suggestions during the development of this material.
We hope that “A Textbook of Numerical Methods” serves as a valuable companion in your journey to mastering numerical techniques and solving real-world problems.