Numerical methods are a cornerstone of modern engineering. This lucid textbook strikes a balance between theory and analysis of numerical methods and their practical applications in engineering. Each chapter starts with the formulation and graphical representation of the numerical method. This is followed by the algorithms required to create computer assisted solutions and simulations, which are then applied on real-world examples and case studies to show how exactly they are used. Finally, the strengths and weaknesses of the numerical method under discussion is explained, thus helping the reader choose the best method for a specific problem at hand. Using extensive mathematical problems, illustrative examples and industrially relevant case studies, the book gives the readers physical insights into the ground realities of engineering applications, particularly in areas like heat transfer, fluid mechanics, mass transfer, transport phenomena, and thermodynamics.