Applied Numerical Methods Using MATLAB By John Morris, Won Y. Yang, Tae-Sang
On Sale
$22.03
$22.03
Product Details
Synopsis
In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems. An Instructor's Manual presenting detailed solutions to all the problems in the book is available online. Measuring only 5.5 x 3.25 inches, this quick and handy laminated card tucks neatly into your Tarascon books to provide you with immediate access to the most frequently used tables in your Tarascon Primary Care Pocketbook. Includes counseling topics and suggested examinations for every health maintenance visit.
Product Identifiers
ISBN-10
0471698334
ISBN-13
9780471698333
Key Details
Author
John Morris, Tae-Sang Chaeong, Tae-Sang Chung, Wenwu Cao, Won Y. Yang
Number Of Pages
528 pages
Format
EBOOK
Publication Date
2005-05-02
Language
English
Publisher
Wiley & Sons, Incorporated, John
Publication Year
2005
Additional Details
Copyright Date
2005
Illustrated
Yes
Dimensions
Weight
32.5 Oz
Height
1.3 In.
Width
6.3 In.
Length
9.4 In.
Target Audience
Group
Scholarly & Professional
Classification Method
LCCN
2004-013108
LC Classification Number
QA297.Y36 2005
Dewey Decimal
518
Dewey Edition
22
Table Of Content
Preface. 1. MATLAB Usage and Computational Errors. 1.1 Basic Operations of MATLAB. 1.1.1 Input/Output of Data from MATLAB Command Window. 1.1.2 Input/Output of Data Through Files. 1.1.3 Input/Output of Data Using Keyboard. 1.1.4 2-D Graphic Input/Output. 1.1.5 3-D Graphic Output. 1.1.6 Mathematical Functions. 1.1.7 Operations on Vectors and Matrices. 1.1.8 Random Number Generators. 1.1.9 Flow Control. 1.2 Computer Errors Versus Human Mistakes. 1.2.1 IEEE 64-bit Floating-Point Number Representation. 1.2.2 Various Kinds of Computing Errors. 1.2.3 Absolute/Relative Computing Errors. 1.2.4 Error Propagation. 1.2.5 Tips for Avoiding Large Errors. 1.3 Toward Good Program. 1.3.1 Nested Computing for Computational Efficiency. 1.3.2 Vector Operation Versus Loop Iteration. 1.3.3 Iterative Routine Versus Nested Routine. 1.3.4 To Avoid Runtime Error. 1.3.5 Parameter Sharing via Global Variables. 1.3.6 Parameter Passing Through Varargin. 1.3.7 Adaptive Input Argument List. Problems. 2. System of Linear Equations. 2.1 Solution for a System of Linear Equations. 2.1.1 The Nonsingular Case (M = N). 2.1.2 The Underdetermined Case (M N): Least-Squares Error Solution. 2.1.4 RLSE (Recursive Least-Squares Estimation). 2.2 Solving a System of Linear Equations. 2.2.1 Gauss Elimination. 2.2.2 Partial Pivoting. 2.2.3 Gauss-Jordan Elimination. 2.3 Inverse Matrix. 2.4 Decomposition (Factorization). 2.4.1 LU Decomposition (Factorization): Triangularization. 2.4.2 Other Decomposition (Factorization): Cholesky, QR, and SVD. 2.5 Iterative Methods to Solve Equations. 2.5.1 Jacobi Iteration. 2.5.2 Gauss-Seidel Iteration. 2.5.3 The Convergence of Jacobi and Gauss-Seidel Iterations. Problems. 3. Interpolation and Curve Fitting. 3.1 Interpolation by Lagrange Polynomial. 3.2 Interpolation by Newton Polynomial. 3.3 Approximation by Chebyshev Polynomial. 3.4 Pade Approximation by Rational Function. 3.5 Interpolation by Cubic Spline. 3.6 Hermite Interpolating Polynomial. 3.7 Two-dimensional Interpolation. 3.8 Curve Fitting. 3.8.1 Straight Line Fit: A Polynomial Function of First Degree. 3.8.2 Polynomial Curve Fit: A Polynomial Function of Higher Degree. 3.8.3 Exponential Curve Fit and Other Functions. 3.9 Fourier Transform. 3.9.1 FFT Versus DFT. 3.9.2 Physical Meaning of DFT. 3.9.3 Interpolation by Using DFS. Problems. 4. Nonlinear Equations. 4.1 Iterative Method Toward Fixed Point. 4.2 Bisection Method. 4.3 False Position or Regula Falsi Method. 4.4 Newton(-Raphson) Method. 4.5 Secant Method. 4.6 Newton Method for a System of Nonlinear Equations. 4.7 Symbolic Solution for Equations. 4.8 A Real-World Problem. Problems. 5. Numerical Differentiation/Integration. 5.1 Difference Approximation for First Derivative. 5.2 Approximation Error of First Derivative. 5.3 Difference Approximation for Second and Higher Derivative. 5.4 Interpolating Polynomial and Numerical Differential. 5.5 Numerical Integration and Quadrature. 5.6 Trapezoidal Method and Simpson Method. 5.7 Recursive Rule and Romberg Integration. 5.8 Adaptive Quadrature. 5.9 Gauss Quadrature. 5.9.1 Gauss-Legendre Integration. 5.9.2 Gauss-Hermite Integration. 5.9.3 Gauss-Laguer
Reviews
"For academic libraries, mathematicians, students, and working professionals'highly recommended." (CHOICE, November 2005)
Synopsis
In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems. An Instructor's Manual presenting detailed solutions to all the problems in the book is available online. Measuring only 5.5 x 3.25 inches, this quick and handy laminated card tucks neatly into your Tarascon books to provide you with immediate access to the most frequently used tables in your Tarascon Primary Care Pocketbook. Includes counseling topics and suggested examinations for every health maintenance visit.
Product Identifiers
ISBN-10
0471698334
ISBN-13
9780471698333
Key Details
Author
John Morris, Tae-Sang Chaeong, Tae-Sang Chung, Wenwu Cao, Won Y. Yang
Number Of Pages
528 pages
Format
EBOOK
Publication Date
2005-05-02
Language
English
Publisher
Wiley & Sons, Incorporated, John
Publication Year
2005
Additional Details
Copyright Date
2005
Illustrated
Yes
Dimensions
Weight
32.5 Oz
Height
1.3 In.
Width
6.3 In.
Length
9.4 In.
Target Audience
Group
Scholarly & Professional
Classification Method
LCCN
2004-013108
LC Classification Number
QA297.Y36 2005
Dewey Decimal
518
Dewey Edition
22
Table Of Content
Preface. 1. MATLAB Usage and Computational Errors. 1.1 Basic Operations of MATLAB. 1.1.1 Input/Output of Data from MATLAB Command Window. 1.1.2 Input/Output of Data Through Files. 1.1.3 Input/Output of Data Using Keyboard. 1.1.4 2-D Graphic Input/Output. 1.1.5 3-D Graphic Output. 1.1.6 Mathematical Functions. 1.1.7 Operations on Vectors and Matrices. 1.1.8 Random Number Generators. 1.1.9 Flow Control. 1.2 Computer Errors Versus Human Mistakes. 1.2.1 IEEE 64-bit Floating-Point Number Representation. 1.2.2 Various Kinds of Computing Errors. 1.2.3 Absolute/Relative Computing Errors. 1.2.4 Error Propagation. 1.2.5 Tips for Avoiding Large Errors. 1.3 Toward Good Program. 1.3.1 Nested Computing for Computational Efficiency. 1.3.2 Vector Operation Versus Loop Iteration. 1.3.3 Iterative Routine Versus Nested Routine. 1.3.4 To Avoid Runtime Error. 1.3.5 Parameter Sharing via Global Variables. 1.3.6 Parameter Passing Through Varargin. 1.3.7 Adaptive Input Argument List. Problems. 2. System of Linear Equations. 2.1 Solution for a System of Linear Equations. 2.1.1 The Nonsingular Case (M = N). 2.1.2 The Underdetermined Case (M N): Least-Squares Error Solution. 2.1.4 RLSE (Recursive Least-Squares Estimation). 2.2 Solving a System of Linear Equations. 2.2.1 Gauss Elimination. 2.2.2 Partial Pivoting. 2.2.3 Gauss-Jordan Elimination. 2.3 Inverse Matrix. 2.4 Decomposition (Factorization). 2.4.1 LU Decomposition (Factorization): Triangularization. 2.4.2 Other Decomposition (Factorization): Cholesky, QR, and SVD. 2.5 Iterative Methods to Solve Equations. 2.5.1 Jacobi Iteration. 2.5.2 Gauss-Seidel Iteration. 2.5.3 The Convergence of Jacobi and Gauss-Seidel Iterations. Problems. 3. Interpolation and Curve Fitting. 3.1 Interpolation by Lagrange Polynomial. 3.2 Interpolation by Newton Polynomial. 3.3 Approximation by Chebyshev Polynomial. 3.4 Pade Approximation by Rational Function. 3.5 Interpolation by Cubic Spline. 3.6 Hermite Interpolating Polynomial. 3.7 Two-dimensional Interpolation. 3.8 Curve Fitting. 3.8.1 Straight Line Fit: A Polynomial Function of First Degree. 3.8.2 Polynomial Curve Fit: A Polynomial Function of Higher Degree. 3.8.3 Exponential Curve Fit and Other Functions. 3.9 Fourier Transform. 3.9.1 FFT Versus DFT. 3.9.2 Physical Meaning of DFT. 3.9.3 Interpolation by Using DFS. Problems. 4. Nonlinear Equations. 4.1 Iterative Method Toward Fixed Point. 4.2 Bisection Method. 4.3 False Position or Regula Falsi Method. 4.4 Newton(-Raphson) Method. 4.5 Secant Method. 4.6 Newton Method for a System of Nonlinear Equations. 4.7 Symbolic Solution for Equations. 4.8 A Real-World Problem. Problems. 5. Numerical Differentiation/Integration. 5.1 Difference Approximation for First Derivative. 5.2 Approximation Error of First Derivative. 5.3 Difference Approximation for Second and Higher Derivative. 5.4 Interpolating Polynomial and Numerical Differential. 5.5 Numerical Integration and Quadrature. 5.6 Trapezoidal Method and Simpson Method. 5.7 Recursive Rule and Romberg Integration. 5.8 Adaptive Quadrature. 5.9 Gauss Quadrature. 5.9.1 Gauss-Legendre Integration. 5.9.2 Gauss-Hermite Integration. 5.9.3 Gauss-Laguer
Reviews
"For academic libraries, mathematicians, students, and working professionals'highly recommended." (CHOICE, November 2005)