Numerical Analysis: Seventh Edition

Author: (American) Burden et al.
Publisher:
Publish Date: 2002-04-01
Features: This book introduces the theory and practical knowledge of modern numerical approximation techniques, explaining their working principles. Like its previous editions, this book continues to focus on the numerical analysis of approximation techniques to provide readers with a solid foundation in numerical analysis and scientific computing for future learning. The content is rich and detailed, allowing for the selection, organization, and connection of relevant chapters to form two learning strategies: one focused on theory and the other on practicality. Each concept is illustrated with numerous examples, and the book also includes over 2,000 exercises ranging from basic applications of methods and algorithms to theoretical induction and extension, covering various fields such as physics, computer science, biology, and social sciences. Through these examples, it further demonstrates how numerical methods are applied in the real world. The seventh edition adds two prominent sections: one is the preconditioned conjugate gradient method, which provides a more comprehensive solution for linear equation systems; the other is homotopy and continuous methods, which offer different approaches for approximating solutions to nonlinear equation systems.