A Friendly Introduction To Numerical Analysis By Brian Bradie
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A Friendly Introduction to Numerical Analysis
An introduction to the fundamental concepts and techniques of numerical analysis and numerical methods. Application problems drawn from many different fields aim to prepare students to use the techniques covered to solve a variety of practical problems.
Introduction to Computational Mathematics
This unique outline covers topics as an introduction to computational mathematics in outline form, much like the classic series of outlines many mathematicians and students recall and have used. This modern version includes many links to external web sources, and homework exercises. It also offers TI calculators’ arithmetic model as a case study and a set of student projects. This outline is self-contained. It is useful for online instruction, self-study, home study, as well as in-class use. This approach can be used for mathematics, computer science, and mathematics education majors to introduce numerical computations. Topics include: •Computer arithmetic •Control Structures •Numerical Differentiation •Root finding algorithms •Numerical Integration •Polynomial Interpolation
An Introduction to Numerical Methods and Analysis
Author: James F. Epperson
language: en
Publisher: John Wiley & Sons
Release Date: 2021-07-21
The new edition of the popular introductory textbook on numerical approximation methods and mathematical analysis, with a unique emphasis on real-world application An Introduction to Numerical Methods and Analysis helps students gain a solid understanding of a wide range of numerical approximation methods for solving problems of mathematical analysis. Designed for entry-level courses on the subject, this popular textbook maximizes teaching flexibility by first covering basic topics before gradually moving to more advanced material in each chapter and section. Throughout the text, students are provided 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 contains new sections on 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. 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: Explains how to both construct and evaluate approximations for accuracy and performance Covers both elementary concepts and tools and higher-level methods and solutions Features new and updated material reflecting new trends and applications in the field Contains 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 revised literature review Includes an appendix of proofs of selected theorems and a companion website with additional exercises, application models, and supplemental resources An Introduction to Numerical Methods and Analysis, Third Edition is the perfect textbook for upper-level undergraduate students in mathematics, science, and engineering courses, as well as for courses in the social sciences, medicine, and business with numerical methods and analysis components.