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Advanced mathematics and mechanics applications using MATLAB

Advanced mathematics and mechanics applications using MATLAB (Loan 25 times)

Material type
단행본
Personal Author
Wilson, H. B. (Howard B.) Turcotte, Louis H.
Title Statement
Advanced mathematics and mechanics applications using MATLAB / Howard B. Wilson, Louis H. Turcotte.
Publication, Distribution, etc
Boca Raton :   CRC Press,   c1994.  
Physical Medium
405 p. ; 25 cm.
ISBN
0849324823
Bibliography, Etc. Note
Includes bibliographical references (p. [365]-373) and index.
Subject Added Entry-Topical Term
Engineering mathematics --Data processing. Mechanics, Applied --Data processing.
비통제주제어
Engineering, Software,,
000 00917pamuuu200289 a 4500
001 000000568343
003 OCoLC
005 19971006183816.0
008 940719s1994 flu b 001 0 eng
010 ▼a 94030083
015 ▼a GB95-53780
020 ▼a 0849324823
040 ▼a DLC ▼c DLC ▼d UKM
049 ▼a ACSL ▼l 121031119
050 0 0 ▼a TA345 ▼b .W55 1994
082 0 0 ▼a 620/.00151 ▼2 20
090 ▼a 620.00151 ▼b W748a
100 1 ▼a Wilson, H. B. ▼q (Howard B.)
245 1 0 ▼a Advanced mathematics and mechanics applications using MATLAB / ▼c Howard B. Wilson, Louis H. Turcotte.
260 ▼a Boca Raton : ▼b CRC Press, ▼c c1994.
300 ▼a 405 p. ; ▼c 25 cm.
504 ▼a Includes bibliographical references (p. [365]-373) and index.
630 0 0 ▼a MATLAB.
650 0 ▼a Engineering mathematics ▼x Data processing.
650 0 ▼a Mechanics, Applied ▼x Data processing.
653 0 ▼a Engineering ▼a Software
700 1 ▼a Turcotte, Louis H.

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 620.00151 W748a Accession No. 121031119 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents


CONTENTS
1. Introduction = 1
 1.1 MATLAB : A Tool for Engineering Analysis = 1
 1.2 Use of MATLAB Commands and Related Reference Materials = 2
 1.2.1 Example Program to Compute the Value of e = 9
 1.3 Description of MATLAB Commands and Related Reference Materials = 17
2. Elementary Aspects of MATLAB Graphics = 31
 2.1 Introduction = 31
 2.2 Overview of Graphics = 32
 2.3 Polynomial Interpolation Example = 34
 2.4 Conformal Mapping Example = 40
 2.5 String Vibration Example = 46
 2.6 Example on Animation of a Rctating Cube = 53
3. Summary of Concepts From Linear Algebra = 63
 3.1 Introduction = 63
 3.2 Vectors, Norms, Linear Independence, and Rank = 63
 3.3 Systems of Linear Equations, Consistency, and Least Square Approximation = 65
 3.4 Application of Least Square Approximation = 68
  3.4.1 A Membrane Deflection Problem = 68
  3.4.2 Mixed Boundary Value Problem for a Function Harmonic Inside a Circular Disk = 73
  3.4.3 Using Rationa Functions to Conformally Map a Circular Disk Onto a Square = 79
 3.5 Eigenvalue Problems = 86
  3.5.1 Statement of the Problem = 86
  3.5.2 Application to Solution of Martix Differential Equations = 89
 3.6 Column Space, Null Space, Orthonormal Bases, and SVD = 89
 3.7 Program Comparing FLOP Counts for Various Martix Operations = 92
4. Methods for Interpolation and Numerical Differentiation = 99
 4.1 Concepts of Interpolation = 99
  4.1.1 Example : Newton Polynomial Interpolation = 103
 4.2 Interpolation, Differentiation, and Integration By Cubic Splines = 105
  4.2.1 Example : Spline Interpolation Applied to sin(X) = 113
  4.2.2 Example : Plotting of General Plane Curves = 114
 4.3 Numerical Differentiations Using Finite Difference Formulas = 115
  4.3.1 Example : Deriving General Difference Formulas = 118
  4.3.2 Example : Deriving Adams Type Integration Formulas = 123
5. Gaussian Integration withApplication to Geometric Properties = 127
 5.1 Fundamental Concepts and Intrinsic Integration Tools Provided in MATLAB = 127
 5.2 Concepts of Gauss Integration = 133
 5.3 Examples Comparing Different Integration Methods = 135
  5.3.1 Example : Computation of Base Points and Weight Factors = 137
 5.4 Line Integrals for Geometric Properties of Plane Areas = 147
  5.4.1 Geometry Example Using a Simple Spline Interpolated Boundary = 151
 5.5 Spline Approximation of General Boundary Shapes = 157
  5.5.1 Program for Exact Properties of Any Area Bounded by Straight Lines and Circular Arcs = 161
  5.5.2 Program to Analyze Spline Interpolated Boundaries = 171
6. Fourier Series and the FFT = 177
 6.1 Definitions and Computation of Fourier Coefficients = 177
 6.1.1 Trigonometric Interpolation and the FFT = 179
 6.2 Some Applications = 182
  6.2.1 Using the FFT to Compute Integer Order Bessel Functions = 183
  6.2.2 Dynamic Response of a Mass on an Oscillating Foundations = 187
  6.2.3 General Program to Construct Fourier Expansions = 202
7. Dynamic Response of Linear Second Order Systems = 215
 7.1 Solving the Structural Dynamics Equations for Periodic Applied Forces = 215
  7.1.1 Application to Oscillations of a Vertically Suspended Cable = 217
 7.2 Direct Integration Methods = 229
  7.2.1 Example on Cable Response by Direct Integration = 231
8. Integration of Nonlinear Intial Value Problems = 241
 8.1 General Concepts on Numerical Integration of Nonlinear Matrix Differential Equations = 241
 8.2 Runge-Kutta Methods and the ODE23 and ODE45 Integrators Provided in MATLAB = 243
 8.3 Step-size Limits Necessary to Maintain Numerical Stability = 245
 8.4 Discussion of Procedures to Maintain Accuracy by Varying Integration Step-size = 251
 8.5 Example on Forced Oscillations of an Inverted Pendulum = 252
 8.6 Example on Dynamics of a Chain with Specified End Motion = 260
 8.7 FORTRAN MEX Implementation : Dynamics of a Chain with Specified End Motion = 276
  8.7.1 Introduction = 276
  8.7.2 MEX-Routine Development = 277
  8.7.3 Discussion of Results from Using a MEX-routine = 285
9. Boundary Value Problems for Linear Partial Differential Equations = 299
 9.1 Several Important Partial Differential Equations = 299
 9.2 Solving the Laplace Equation Inside a Rectangular Region = 300
 9.3 Transient Heat Conduction in One-Dimensional Slab = 311
 9.4 Wave Propagation in a Beam with an Impact Moment Applied to One End = 316
 9.5 Torsional Stresses in a Beam Natural Frequencies Obtained by Finite Element and Finite Difference Methods = 332
 9.6 Accuracy Comparison for Euler Beam Natural Frequencies Obtained by Finite Element and Finite Difference Methods = 341
  9.6.1 Mathematical Formulation = 341
  9.6.2 Discussion of the Code = 347
  9.6.3 Numerical Results = 349
A References = 365
B List of MATLAB Routines with Descriptions = 375
C MATLAB Utility Functions = 389
Index = 401


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