Numerical Analysis MatLab pdf
1. Numerical Methods in Engineering with MATLAB (Second Edition)
Introduction: "Numerical Methods in Engineering with MATLAB" is a text for engineering students and an important consideration for practicing engineers. The choice of numerical methods was based on their relevance to engineering problems. Every method is discussed simply and explained with problems involving both hand computation and programming. This code is made straightforward and easy to understand by avoiding complex bookkeeping schemes while holding the essential features of the method. MATLAB was chosen as the example language because of its universal use in engineering studies and practice.
Notable Topics: Systems of Linear Algebraic Equations. Interpolation and Curve Fitting. Numerical Integration. Initial Value Problems. Two-Point Boundary Value Problems. Symmetric Matrix Eigenvalue Problems.
Author: Jaan Kiusalaas (Professor Emeritus in the Department of Engineering Science and Mechanics at the Pennsylvania State University)
Type: Book
2. Analysis Using MATLAB and Excel (Third Edition)
Introduction: Students and working experts will find "Numerical Analysis Using MATLAB and Excel" to be a brief and easy-to-learn text. This book delivers complete, clear, and straightforward explanations of the principal numerical analysis methods and well-known functions used in science and engineering. These are explained with many real-world examples.
Notable Topics: Root Approximations. Sinusoids and Complex Numbers. Matrices and Determinants. Review of Differential Equations. Fourier, Taylor, and Maclaurin Series. Finite Differences and Interpolation. Linear and Parabolic Regression. Solution of Differential. Equations by Numerical Methods. Integration by Numerical Methods. Difference Equations. Partial Fraction Expansion. The Gamma and Beta Functions.
Author: Steven T. Karris
Type: Book
3. Numerical Methods using MATLAB (Third Edition)
Introduction: This book provides a basic introduction to numerical analysis appropriate for undergraduate students in mathematics, computer science, and engineering. The text in this book has enough material suited modularly for a single-term course. In short, the book contains enough material that one can able to select topics appropriate to their needs.
Authors: John H. Mathews (California State University), Kurtis D. Fink (Northwest Missouri State University)
Notable Topics: Solution of non-linear equations. The solution of the Linear system. Interpolation and polynomial approximation. Curve Fitting. Solution of differential equation and partial differential equation. Eigenvalues and Eigenvectors.
Type: Book
4. An Introduction to Numerical Methods (Fourth edition)
Introduction: This is a textbook designed for an introductory course in numerical methods. This book provides the theory and application of the most commonly used numerical methods for solving numerical problems on microcomputers. It is planned for students in mathematics, science, and engineering who have completed the introductory in calculus. In addition, the reader is supposed to have taken a structured
programming course.
Authors: Dr. Abdelwahab Kharab (Abu Dhabi University), Professor Ronald B. Guenther (Oregon State University)
Notable Topics: Number System and Errors. Interpolation with Spline Functions. The Method of Least-Squares. Eigenvalues and Eigenvectors. Dynamical Systems and Chaos.
Type: Book
5. An Introduction to Programming and Numerical Methods in MATLAB
Introduction: This textbook provides an introduction to the numerical methods that are typically encountered in science and engineering undergraduate courses. The material is developed in this book with MATLAB which allows rapid prototyping and testing of the numerical methods. The methods included here are necessary and only depend on the material that should have been studied before the first-year undergraduate stage.
Authors: S.R. Otto and J.P. Denier, BSc (Hons), Ph.D.
Notable Topics: Writing Scripts and Functions. Loops and Conditional Statements. Interpolation and Extrapolation. Matrices. Simulations and Random Numbers.
Type: Book
6. APPLIED NUMERICAL METHODS USING MATLAB
Introduction: This book presents applied numerical methods for engineering and science students. The book targets the students of today who do not like or do not have time to emanate and verify mathematical results. This can also perform as a reference to MATLAB applications for professional engineers and scientists since many of the MATLAB codes shown after introducing each algorithm’s basic ideas can easily be modified to solve similar problems even by those who do not know what is going on inside the MATLAB practices and the algorithms they use especially in the numerical analysis section.
Authors: Won Young Yang (Chung-Ang University, Korea). Wenwu Cao (Pennsylvania State University). Tae-Sang Chung
(Chung-Ang University, Korea). John Morris (The University of Auckland, New Zealand).
Notable Topics: MATLAB Usage and Computational Errors. Interpolation and Curve Fitting. Matrices and Eigenvalues. MATLAB Built-In Routines for Optimization.
Type: Book
7. Numerical Methods with Worked Examples: Matlab Edition (second edition)
Introduction: This book provides an overview of numerical methods used in undergraduate science, computing, engineering, and technology courses. The goal is to give enough tools to make the numerical analysis of mathematical models that are likely to be encountered in practice as simple as possible. Linear equations representing stress on girders, bridges, and other civil engineering structures, differential equations of chemical and thermal reactions, and inferences to be taken from observed data are examples of such models.
Authors: C. Woodford, Prof. C. Phillips.
Notable Topics: Linear and Nonlinear equation. Numerical integration and differentiation. Linear Programing using MatLab. Statistics.
Type: Book
8. Introduction to Numerical Methods and Matlab Programming for Engineers
Introduction: The major objectives of these lectures are to explain numerical techniques ideas and to introduce Matlab in an engineering context. This does not imply that every subject is a "real-world" engineering challenge, but rather that the engineering mindset is emphasized throughout the debate.
Authors: Todd Young and Martin J. Mohlenkamp (Department of Mathematics, Ohio University).
Notable Topics: MatLab and Solving Equations. Linear Algebra. Functions and Data. Differential Equations.
Type: Book