Название: Numerical Methods Fundamentals
Автор: R.V. Dukkipati
Издательство: Mercury Learning and Information LLC
Год: 2023
Страниц: 469
Язык: английский
Формат: pdf (true)
Размер: 10.1 MB

The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, matrices and linear system of equations, numerical solution of ordinary differential equations, and numerical solution of partial differentialequations. It uses a numerical problem-solving orientation with numerous examples, figures, and end of chapter exercises. Presentations are limited to very basic topics to serve as an introduction to more advanced topics.

The purpose of this book is to impart a basic understanding, both physical and mathematical, of the basic theory of numerical analysis/methods and their applications. In this book, an attempt is made to present in a simple and systematic manner the techniques that can be applied to the study of numerical methods. Special emphasis is placed on analytical developments, algorithms and computational solutions.

The objective of this text book is to introduce students from a variety of disciplines and backgrounds to the vast array of problems that are amenable to numerical solutions. The emphasis is placed on application rather than pure theory, which, although kept to a minimum and presented in a mostly heuristic and intuitive manner. This is deemed sufficient for the student to fully understand the workings, efficiency and shortcomings or failings of each technique. Since I intended this book as a first course on the numerical methods, the concepts have been presented in simple terms and the solution procedures have been explained in detail.

Features:

Emphasizes applications, analytical developments, algorithms, and computational solutions over puretheory
Features over 300 problems with step-by-step solutions
Includes a review of basic engineering mathematics and partial fraction expansions
Provides an understanding, both physical and mathematical, of the basic theory ofnumerical analysis, methods, and their applications