epub Numerical Analysis: A Quick Guide With Modern Fortran and Gnuplot
por Dr. Clésio Ismério de Oliveira
Descrição do livro
Numerical Analysis: A Quick Guide with Modern Fortran and Gnuplot is a practical introduction to the fundamental methods of numerical analysis, combining mathematical foundations with computational implementation. Designed for students, engineers, scientists, and programmers, this book presents numerical methods in a clear and application-oriented way. Rather than focusing exclusively on theory, each topic connects the mathematical formulation to algorithms, Modern Fortran implementations, and graphical visualization with Gnuplot. The book covers essential topics such as root-finding methods, systems of linear equations, interpolation, numerical differentiation and integration, ordinary differential equations, and practical engineering applications. Algorithms are accompanied by pseudocode and complete Fortran examples, allowing readers to move naturally from mathematical concepts to working computational programs. Gnuplot examples complement the numerical implementations by providing a simple and effective way to visualize functions, convergence behavior, interpolation curves, numerical solutions, and engineering results. Key features include: • Clear explanations of fundamental numerical methods The emphasis throughout the book is on understanding not only how a numerical method works, but also how to translate it into a reliable computational procedure. Whether used as a quick reference, a companion to a numerical analysis course, or a practical guide for scientific programming, Numerical Analysis: A Quick Guide with Modern Fortran and Gnuplot provides a direct bridge between numerical mathematics and computational problem solving.
• Mathematical formulation and error considerations
• Step-by-step algorithms and pseudocode
• Modern Fortran implementations
• Gnuplot scripts for graphical visualization
• Examples connecting numerical analysis with physics and engineering
• Practical guidance for scientific computing workflows
• Appendix supporting Fortran programming and Gnuplot usage
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