Description
Applied Numerical Methods with MATLAB for Engineers and Scientists presents numerical methods through problems arising in engineering and science, emphasizing practical application while providing sufficient theory to explain the techniques and their limitations. The book introduces mathematical modeling, numerical problem solving, MATLAB fundamentals, and programming before developing methods for analyzing roundoff and truncation errors, finding roots, and performing optimization. It covers linear algebraic equations and matrices, Gaussian elimination, LU factorization, iterative methods, eigenvalues, regression, Fourier analysis, polynomial and spline interpolation, numerical integration and differentiation, and numerical methods for initial- and boundary-value problems. MATLAB is used as the primary computational environment for implementing methods and solving application problems. The book is designed as a practical foundation for students learning numerical methods in engineering and scientific disciplines.
