An Introduction to Numerical Methods and Analysis

An Introduction to Numerical Methods and Analysis is a popular textbook for entry-level courses on numerical approximation methods and mathematical analysis,with a unique emphasis on real-world application. It covers basic topics before gradually moving to more advanced material,and includes new sections on higher-order difference methods,the bisection and inertia method,Poisson equations,and spectral methods. It also includes computer programming exercises,illustrative examples,and sample code.

Format: Hardback
Length: 672 pages
Publication date: 24 August 2021
Publisher: John Wiley and Sons Ltd

An Introduction to Numerical Methods and Analysis, the latest edition of a widely acclaimed introductory textbook on numerical approximation methods and mathematical analysis, offers a unique emphasis on real-world applications. Designed for entry-level courses in the subject, this popular textbook maximizes teaching flexibility by first covering basic topics before gradually advancing to more advanced material in each chapter and section. Throughout the text, students receive clear and accessible guidance on a wide range of numerical methods and analysis techniques, including root-finding, numerical integration, interpolation, solution of systems of equations, and many others.

This fully revised third edition incorporates numerous new sections, such as higher-order difference methods, the bisection and inertia method for computing eigenvalues of a symmetric matrix, a completely re-written section on different methods for Poisson equations, and spectral methods for higher-dimensional problems. Additionally, new problem sets, ranging in difficulty from simple computations to challenging derivations and proofs, are complemented by computer programming exercises, illustrative examples, and sample code.

This acclaimed textbook serves as an invaluable resource for students seeking to gain a solid understanding of numerical approximation methods and mathematical analysis. It explains how to both construct and evaluate approximations for accuracy and performance, covering both elementary concepts and tools as well as higher-level methods and solutions. The book features new and updated material that reflects recent trends and applications in the field, including an introduction to key concepts, a calculus review, an updated primer on computer arithmetic, a brief history of scientific computing, a survey of computer languages and software, and a comprehensive revision.

By providing comprehensive coverage of numerical methods and analysis techniques, An Introduction to Numerical Methods and Analysis equips students with the skills and knowledge necessary to solve complex problems in a variety of fields, including engineering, science, and finance. Whether you are a novice or an experienced researcher, this textbook is an essential tool for advancing your understanding of numerical methods and their applications.

Weight: 1420g
Dimension: 259 x 191 x 41 (mm)
ISBN-13: 9781119604693
Edition number: 3rd Edition