Matlab Programming For Numerical Analysis

MATLAB Programming for Numerical Analysis

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. Programming MATLAB for Numerical Analysis introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. You will first become familiar with the MATLAB environment, and then you will begin to harness the power of MATLAB. You will learn the MATLAB language, starting with an introduction to variables, and how to manipulate numbers, vectors, matrices, arrays and character strings. You will learn about MATLAB’s high-precision capabilities, and how you can use MATLAB to solve problems, making use of arithmetic, relational and logical operators in combination with the common functions and operations of real and complex analysis and linear algebra. You will learn to implement various numerical methods for optimization, interpolation and solving non-linear equations. You will discover how MATLAB can solve problems in differential and integral calculus, both numerically and symbolically, including techniques for solving ordinary and partial differential equations, and how to graph the solutions in brilliant high resolution. You will then expand your knowledge of the MATLAB language by learning how to use commands which enable you to investigate the convergence of sequences and series, and explore continuity and other analytical features of functions in one and several variables.

An Introduction to Programming and Numerical Methods in MATLAB

NUMERICAL METHODS WITH C++ AND MATLAB PROGRAMMING, SECOND EDITION

The rapid development of high speed digital computers and the increasing desire for numerical answers to applied problems have led to increased demand in the courses dealing with the methods and techniques of numerical analysis. Numerical methods have always been useful but their role in the present-day scientific research has become prominent. For example, they enable one to find the roots of transcendental equations and in solving non-linear differential equations. Indeed, they give the solution when ordinary analytical methods fail. This well-organized and comprehensive text, now in its second edition, aims at enhancing and strengthening numerical methods concepts among students using C++ and MATLAB programming, a fast emerging preferred programming language among software developers. The book provides a synthesis of both theory and practice. It focuses on the core areas of numerical analysis including algebraic equations, interpolation, boundary value problem, and matrix eigenvalue problems. The mathematical concepts are supported by a number of solved examples. Extensive self-review exercises and answers are provided at the end of each chapter to help students review and reinforce the key concepts. The book is intended for undergraduate and postgraduate students of Mathematics, Engineering, Statistics and Computer Application (BCA and MCA) courses. Besides, for researchers, this book will serve as a reference to get insight into their research problems numerically when analytic method fails. KEY FEATURES • C++ programs are provided for all numerical methods discussed. • More than 400 unsolved problems and 200 solved problems are included to help students test their grasp of the subject. NEW TO THE SECOND EDITION • Includes MATLAB codes and few new topics • Incorporates new examples and exercises at the end of each chapter TARGET AUDIENCE • B.Sc./M.Sc./MA (Mathematics and Statistics) • B.Tech (Computer Science) • BCA & MCA