Numerical Linear Algebra van Lloyd N. Trefethen and David Bau III is an English-language textbook focused on the core concepts of numerical linear algebra. This book is suitable for students in higher education and professionals who want to gain insight into the main themes in the field.
It covers, in 40 clear lectures, essential topics such as QR factorization, iterative methods for solving systems of equations and eigenvalue problems, and the principles of conditioning and stability. The clear and innovative presentation makes the book valuable for both instructors and students. Thanks to the coherence among the themes, the whole remains well manageable without getting lost in technical details.
With a focus on numerical linear algebra, this book offers a fresh perspective and a broad introduction to the field, revisiting traditional approaches. It connects content-wise with areas such as algebra and number theory, and provides a solid foundation for further study and application.