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Numerical Methods Using MATLAB
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ISBN
:
9788120327658
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Publisher
:
PHI Learning
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Subject
:
Encyclopaedias & Reference Works
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Binding
:
Paperback
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Pages
:
692
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Year
:
2009
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495.0
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376.0
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Description
The book presents various methods of numerical analysis in a clear style. It provides an amalgamation of both theory and practice using a wide variety of examples and problems to help the students sharpen their skills. Computer calculations are presented in the form of tables and graphs whenever possible so that the resulting numerical approximations are easier to visualize and interpret. In an easy to understand and friendly style, the authors explain how numerical methods work and their limitations. Throughout, it maintains a balance between theory, error analysis, and readability. This book is suitable for undergraduate students in mathematics, computer science, physical sciences and engineering. Key Features • Extensive use of the software MATLAB. – Uses MATLAB programs for presenting numerical algorithms. Provides computer assignments using MATLAB for students to practice their skills at scientific programming. • Lucid presentation of error analysis of various methods. • New topics for minimization of z = f (x, y) are included. • Rewritten chapter on numerical optimization. • Each numerical method is presented in a self-contained format. Table of Contents Preface Preliminaries Solution of Nonlinear Equations f(x) = 0 Solution of Linear Systems AX = B Interpolation and Polynomial Approximation Curve Fitting Numerical Differentiation Numerical Integration Numerical Optimization Solution of Differential Equations Solution of Partial Differential Equations Eigenvalues and Eigenvectors Appendix: Introduction to MATLAB Answers to Selected Exercises Index
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