![]() Hands-on Start to Wolfram Mathematica and Programming with the Wolfram Language (book).By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems.The first three tutorials are excellent for new users, and can be assigned to students as homework to learn Mathematica outside of class time.įollow along in Mathematica as you watch this multi-part screencast that teaches you the basics-how to create your first notebook, calculations, visualizations, interactive examples, and more. The text develops students’ understanding of the construction of numerical algorithms and the applicability of the methods. Numerical solution of partial differential equations (PDEs).Numerical solutions of ordinary differential equations (ODEs) and boundary value problems.Numerical differentiation and divided differences.Approximation of functions and least square approximation.The solution of systems of linear equations and triangularization.Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines.It presents many techniques for the efficient numerical solution of problems in science and engineering.Īlong with numerous worked-out examples, end-of-chapter exercises, and Mathematica ® programs, the book includes the standard algorithms for numerical computation: Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs.
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