Description
Introduction to numerical methods
Book summary
This manual offers a clear and structured introduction to numerical methods, an essential branch of applied mathematics. The reader will find the fundamental tools for solving complex problems through computational approximations, ranging from error analysis to the solution of differential equations. With a practical and didactic approach, it is an ideal resource for students and professionals who need to understand and apply numerical techniques in engineering, science, or technical fields.
What is it about?
The book progressively addresses the key concepts of numerical calculus, starting with error analysis, which allows for an understanding of the limitations and precision of calculations. It then delves into systems of linear equations, eigenvalues and eigenvectors, and function interpolation techniques. It also covers numerical differentiation and integration, the solution of nonlinear equations, and, finally, ordinary differential equations. Each topic is presented with a concise theoretical exposition, followed by examples and practical applications that facilitate immediate understanding and application.
Main topics
- Analysis and control of error in numerical calculations
- Methods for solving systems of linear equations
- Calculation of eigenvalues and eigenvectors
- Function interpolation techniques
- Numerical differentiation and integration
- Solving nonlinear equations
- Methods for ordinary differential equations
Who is it recommended for?
This book is recommended for university students in engineering, mathematics, physics, or computer science degrees who are beginning their study of numerical calculus. It is also useful for technical professionals who need to refresh or apply numerical methods in their daily work, as well as for educators seeking a clear and complete reference manual for their classes.
What this book provides
- Provides a solid foundation for understanding and applying fundamental numerical methods.
- Facilitates the resolution of complex mathematical problems with a practical, step-by-step approach.
- Helps develop the ability to analyze and control errors in computational calculations.
- Offers examples and exercises that connect theory with real-world applications in science and engineering.
Technical specifications
- Author: Not specified
- Publisher: Eumo Editorial SAU
- Language: Catalan
- Subject: Calculus and mathematical analysis
- Collection: EINA
- Binding: Paperback
- Publication date: February 1998
- Number of pages: 197
- Weight: 527 g
Editorial review
Introduction to numerical methods is a reference manual within the EINA collection, designed for progressive and applied learning. Its clear structure and fundamental content make it a useful tool both for the classroom and for self-study. Although the edition dates back to 1998, the concepts covered remain current and essential for anyone who must face numerical calculus problems in technical or scientific environments.