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Advanced mathematics and mechanics applications using MATLAB

Advanced mathematics and mechanics applications using MATLAB (25회 대출)

자료유형
단행본
개인저자
Wilson, H. B. (Howard B.) Turcotte, Louis H.
서명 / 저자사항
Advanced mathematics and mechanics applications using MATLAB / Howard B. Wilson, Louis H. Turcotte.
발행사항
Boca Raton :   CRC Press,   c1994.  
형태사항
405 p. ; 25 cm.
ISBN
0849324823
서지주기
Includes bibliographical references (p. [365]-373) and index.
일반주제명
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.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 620.00151 W748a 등록번호 121031119 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차


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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