The Numerical Methods book serves as an introductory guide for undergraduate and graduate students in engineering, science, and mathematics, encompassing a wide range of disciplines. This comprehensive resource covers all essential topics, including numerical computation, linear systems of equations, solutions for algebraic and transcendental equations, numerical differentiation, finite differences and interpolation, curve fitting, regression, and correlation, numerical integration, and solutions for ordinary and partial differential equations.

The book has been written in a clear and straightforward language, organized systematically and with a student-friendly approach, emphasizing numerical problem-solving. A balance is maintained between theoretical concepts and practical examples, with each concept supported by relevant illustrations. These examples are unavailable in other resources, making this book an invaluable tool for students who may struggle to find solutions in other texts. The book's focus on examples ensures effective learning and retention of concepts. Each chapter concludes with exercise questions to reinforce understanding and application of the material covered.

1. Numerical Computation 2. Linear System of Equations 3. Solution of Algebric and Transcendental Equations 4. Numerical Differentiation 5. Finite Differences and Interpolation 6. Curve Fitting 7. Numerical Integration 8 Numerical Solution of Ordinary and Partial Differential Equations