كتاب Numerical Analysis Using MATLAB and Excel
منتدى هندسة الإنتاج والتصميم الميكانيكى
بسم الله الرحمن الرحيم

أهلا وسهلاً بك زائرنا الكريم
نتمنى أن تقضوا معنا أفضل الأوقات
وتسعدونا بالأراء والمساهمات
إذا كنت أحد أعضائنا يرجى تسجيل الدخول
أو وإذا كانت هذة زيارتك الأولى للمنتدى فنتشرف بإنضمامك لأسرتنا
وهذا شرح لطريقة التسجيل فى المنتدى بالفيديو :
http://www.eng2010.yoo7.com/t5785-topic
وشرح لطريقة التنزيل من المنتدى بالفيديو:
http://www.eng2010.yoo7.com/t2065-topic
إذا واجهتك مشاكل فى التسجيل أو تفعيل حسابك
وإذا نسيت بيانات الدخول للمنتدى
يرجى مراسلتنا على البريد الإلكترونى التالى :

Deabs2010@yahoo.com


-----------------------------------
-Warning-

This website uses cookies
We inform you that this site uses own, technical and third parties cookies to make sure our web page is user-friendly and to guarantee a high functionality of the webpage.
By continuing to browse this website, you declare to accept the use of cookies.
منتدى هندسة الإنتاج والتصميم الميكانيكى
بسم الله الرحمن الرحيم

أهلا وسهلاً بك زائرنا الكريم
نتمنى أن تقضوا معنا أفضل الأوقات
وتسعدونا بالأراء والمساهمات
إذا كنت أحد أعضائنا يرجى تسجيل الدخول
أو وإذا كانت هذة زيارتك الأولى للمنتدى فنتشرف بإنضمامك لأسرتنا
وهذا شرح لطريقة التسجيل فى المنتدى بالفيديو :
http://www.eng2010.yoo7.com/t5785-topic
وشرح لطريقة التنزيل من المنتدى بالفيديو:
http://www.eng2010.yoo7.com/t2065-topic
إذا واجهتك مشاكل فى التسجيل أو تفعيل حسابك
وإذا نسيت بيانات الدخول للمنتدى
يرجى مراسلتنا على البريد الإلكترونى التالى :

Deabs2010@yahoo.com


-----------------------------------
-Warning-

This website uses cookies
We inform you that this site uses own, technical and third parties cookies to make sure our web page is user-friendly and to guarantee a high functionality of the webpage.
By continuing to browse this website, you declare to accept the use of cookies.



 
الرئيسيةالبوابةالتسجيلدخولحملة فيد واستفيدجروب المنتدى

شاطر
 

 كتاب Numerical Analysis Using MATLAB and Excel

اذهب الى الأسفل 
كاتب الموضوعرسالة
Admin
مدير المنتدى
مدير المنتدى
Admin

عدد المساهمات : 16704
التقييم : 29186
تاريخ التسجيل : 01/07/2009
الدولة : مصر
العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى

كتاب Numerical Analysis Using MATLAB and Excel  Empty
مُساهمةموضوع: كتاب Numerical Analysis Using MATLAB and Excel    كتاب Numerical Analysis Using MATLAB and Excel  Emptyالإثنين 04 يناير 2021, 11:51 pm

أخوانى فى الله
أحضرت لكم كتاب
Numerical Analysis Using MATLAB and Excel
Third Edition
Steven T. Karris  

كتاب Numerical Analysis Using MATLAB and Excel  N_a_u_10
و المحتوى كما يلي :


Table of Contents
1 Introduction to MATLAB 1−1
1.1 Command Window .1−1
1.2 Roots of Polynomials .1−3
1.3 Polynomial Construction from Known Roots 1−4
1.4 Evaluation of a Polynomial at Specified Values .1−5
1.5 Rational Polynomials 1−8
1.6 Using MATLAB to Make Plots 1−9
1.7 Subplots .1−18
1.8 Multiplication, Division and Exponentiation .1−19
1.9 Script and Function Files 1−26
1.10 Display Formats 1−31
1.11 Summary .1−33
1.12 Exercises 1−37
1.13 Solutions to End−of−Chapter Exercises .1−38
MATLAB Computations: Entire chapter
2 Root Approximations 2−1
2.1 Newton’s Method for Root Approximation .2−1
2.2 Approximations with Spreadsheets 2−7
2.3 The Bisection Method for Root Approximation .2−19
2.4 Summary .2−27
2.5 Exercises .2−28
2.6 Solutions to End−of−Chapter Exercises .2−29
MATLAB Computations: Pages 2−2 through 2−7, 2−14, 2−21 through 2−23,
2−29 through 2−34
Excel Computations: Pages 2−8 through 2−19, 2−24 through 2−26
3 Sinusoids and Phasors 3−1
3.1 Alternating Voltages and Currents 3−1
3.2 Characteristics of Sinusoids 3−2
3.3 Inverse Trigonometric Functions .3−10
3.4 Phasors 3−10
3.5 Addition and Subtraction of Phasors .3−11
3.6 Multiplication of Phasors 3−12
3.7 Division of Phasors .3−13ii Numerical Analysis Using MATLAB and Excel , Third Edition
3.8 Exponential and Polar Forms of Phasors 3−13
3.9 Summary .3−24
3.10 Exercises 3−27
3.11 Solutions to End−of−Chapter Exercises 3−28
MATLAB Computations: Pages 3−15 through 3−23, 3−28 through 3−31
Simulink Modeling: Pages 3−16 through 3−23
4 Matrices and Determinants 4−1
4.1 Matrix Definition .4−1
4.2 Matrix Operations .4−2
4.3 Special Forms of Matrices 4−5
4.4 Determinants .4−9
4.5 Minors and Cofactors 4−13
4.6 Cramer’s Rule 4−18
4.7 Gaussian Elimination Method .4−20
4.8 The Adjoint of a Matrix 4−22
4.9 Singular and Non−Singular Matrices 4−22
4.10 The Inverse of a Matrix .4−23
4.11 Solution of Simultaneous Equations with Matrices 4−25
4.12 Summary 4−32
4.13 Exercises 4−36
4.14 Solutions to End−of−Chapter Exercises 4−38
MATLAB Computations: Pages 4−3, 4−5 through 4−8, 4−10, 4−12, 4−3, 4−5, 4−19
through 4−20, 4−24, 4−26, 4−28, 4−30, 4−38, 4−41, 4−43
Excel Computations: Pages 4−28 through 4−29, 4−42 through 4−43
5 Differential Equations, State Variables, and State Equations 5−1
5.1 Simple Differential Equations 5−1
5.2 Classification 5−2
5.3 Solutions of Ordinary Differential Equations (ODE) .5−6
5.4 Solution of the Homogeneous ODE 5−8
5.5 Using the Method of Undetermined Coefficients for the Forced Response 5−10
5.6 Using the Method of Variation of Parameters for the Forced Response . 5−20
5.7 Expressing Differential Equations in State Equation Form 5−24
5.8 Solution of Single State Equations . 5−27
5.9 The State Transition Matrix 5−28
5.10 Computation of the State Transition Matrix 5−30
5.11 Eigenvectors 5−38
5.12 Summary 5−42Numerical Analysis Using MATLAB and Excel , Third Edition iii
5.13 Exercises . 5−47
5.14 Solutions to End−of−Chapter Exercises . 5−49
MATLAB Computations: Pages 5−11, 5−13 through 5−14, 5−16 through 5−17,
5−19, 5−23, 5−33 through 5−35, 5−37,
5−49 through 5−53, 5−55
6 Fourier, Taylor, and Maclaurin Series 6−1
6.1 Wave Analysis 6−1
6.2 Evaluation of the Coefficients .6−2
6.3 Symmetry .6−7
6.4 Waveforms in Trigonometric Form of Fourier Series .6−12
6.5 Alternate Forms of the Trigonometric Fourier Series .6−25
6.6 The Exponential Form of the Fourier Series .6−29
6.7 Line Spectra .6−33
6.8 Numerical Evaluation of Fourier Coefficients .6−36
6.9 Power Series Expansion of Functions 6−40
6.10 Taylor and Maclaurin Series 6−41
6.11 Summary 6−48
6.12 Exercises 6−51
6.13 Solutions to End−of−Chapter Exercises 6−53
MATLAB Computations: Pages 6−35, 6−45, 6−58 through 6−61
Excel Computations: Pages 6−37 through 6−39
7 Finite Differences and Interpolation 7−1
7.1 Divided Differences .7−1
7.2 Factorial Polynomials .7−6
7.3 Antidifferences .7−12
7.4 Newton’s Divided Difference Interpolation Method .7−15
7.5 Lagrange’s Interpolation Method 7−17
7.6 Gregory−Newton Forward Interpolation Method 7−19
7.7 Gregory−Newton Backward Interpolation Method .7−21
7.8 Interpolation with MATLAB .7−24
7.9 Summary .7−39
7.10 Exercises .7−44
7.11 Solutions to End−of−Chapter Exercises .7−45
MATLAB Computations: Pages 7−8 through 7−9, 7−13 through 7−15,
7−26 through 7−38, 7−45 through 7−46,
7−48, 7−50, 7−52
Excel Computations: Pages 7−17 through 7−19, 7−22 through 7−25, 7−49, 7−52iv Numerical Analysis Using MATLAB and Excel , Third Edition
8 Linear and Parabolic Regression 8−1
8.1 Curve Fitting 8−1
8.2 Linear Regression .8−2
8.3 Parabolic Regression 8−7
8.4 Regression with Power Series Approximations 8−14
8.5 Summary 8−24
8.6 Exercises .8−26
8.7 Solutions to End−of−Chapter Exercises .8−28
MATLAB Computations: Pages 8−11 through 8−14, 8−17 through 8−23,
8−30 through 8−34
Excel Computations: Pages 8−5 through 8−10, 8−15 through 8−19, 8−28 through 8−32
9 Solution of Differential Equations by Numerical Methods 9−1
9.1 Taylor Series Method 9−1
9.2 Runge−Kutta Method 9−5
9.3 Adams’ Method . 9−13
9.4 Milne’s Method 9−15
9.5 Summary 9−17
9.6 Exercises 9−20
9.7 Solutions to End−of−Chapter Exercises 9−21
MATLAB Computations: Pages 9−5, 9−9 through 9−12, 9−21 through 9−23
Excel Computations: Page 9−2, 9−14, 9−22 through 9−26
10 Integration by Numerical Methods 10−1
10.1 The Trapezoidal Rule 10−1
10.2 Simpson’s Rule . 10−6
10.3 Summary 10−14
10.4 Exercises 10−15
10.5 Solution to End−of−Chapter Exercises 10−16
MATLAB Computations: Pages 10−3 through 10−6, 10−9 through 10−13,
10−16, 10−18 through 10−21
Excel Computations: Pages 10−10, 10−19 through 10−21
11 Difference Equations 11−1
11.1 Introduction . 11−1
11.2 Definition, Solutions, and Applications 11−1
11.3 Fibonacci Numbers 11−7Numerical Analysis Using MATLAB and Excel , Third Edition v
11.4 Summary .11−11
11.5 Exercises . 11−13
11.6 Solutions to End−of−Chapter Exercises .11−14
12 Partial Fraction Expansion 12−1
12.1 Partial Fraction Expansion 12−1
12.2 Alternate Method of Partial Fraction Expansion 12−13
12.3 Summary 12−19
12.4 Exercises 12−22
12.5 Solutions to End−of−Chapter Exercises 12−23
MATLAB Computations: Pages 12−3 through 12−5, 12−9 through 12−12,
12−16 through 12-18, 12−23 through 12−28
13 The Gamma and Beta Functions and Distributions 13−1
13.1 The Gamma Function .13−1
13.2 The Gamma Distribution 13−16
13.3 The Beta Function .13−17
13.4 The Beta Distribution 13−20
13.5 Summary 13−22
13.6 Exercises 13−24
13.7 Solutions to End−of−Chapter Exercises 13−25
MATLAB Computations: Pages 13−3, 13−5, 13−10, 13−19, 13−25
Excel Computations: Pages 13−5, 13−10, 13−16 through 13−17, 13−19, 13−21
14 Orthogonal Functions and Matrix Factorizations 14−1
14.1 Orthogonal Functions 14−1
14.2 Orthogonal Trajectories .14−2
14.3 Orthogonal Vectors 14−4
14.4 The Gram−Schmidt Orthogonalization Procedure 14−7
14.5 The LU Factorization .14−9
14.6 The Cholesky Factorization 14−23
14.7 The QR Factorization .14−25
14.8 Singular Value Decomposition .14−28
14.9 Summary .14−30
14.10 Exercises .14−32
14.11 Solutions to End−of−Chapter Exercises .14−34
MATLAB Computations: Pages 14−8 through 14−9, 14−11 through 14−29,
14−36, 14−38 through 14−39vi Numerical Analysis Using MATLAB and Excel , Third Edition
15 Bessel, Legendre, and Chebyshev Functions 15−1
15.1 The Bessel Function 15−1
15.2 Legendre Functions .15−10
15.3 Laguerre Polynomials .15−21
15.4 Chebyshev Polynomials .15−22
15.5 Summary 15−27
15.6 Exercises .15−32
15.7 Solutions to End−of−Chapter Exercises 15−33
MATLAB Computations: Pages 15−3 through 15−4, 15−6, 15−9,
14−19 through 15−22, 15−25, 15−33, 15−35 through 15−37
Excel Computations: Pages 15−5, 15−9
16 Optimization Methods 16−1
16.1 Linear Programming . 16−1
16.2 Dynamic Programming 16−4
16.3 Network Analysis .16−14
16.4 Summary 16−19
16.5 Exercises .15−20
16.6 Solutions to End−of−Chapter Exercises 15−22
MATLAB Computations: Pages 16−3
Excel Computations: Pages 16−4, 16−23, 16−25 through 16−27
A Difference Equations in Discrete−Time Systems A−1
A.1 Recursive Method for Solving Difference Equations . A−1
A.2 Method of Undetermined Coefficients A−1
MATLAB Computations: Pages A−4, A−7, A−9
B Introduction to Simulink B−1
B.1 Simulink and its Relation to MATLAB .B−1
B.2 Simulink Demos B−20
MATLAB Computations and Simulink Modeling: Entire Appendix B
C Ill-Conditioned Matrices C−1
C.1 The Norm of a Matrix .C−1
C.2 Condition Number of a Matrix .C−2
C.3 Hilbert Matrices C−3Numerical Analysis Using MATLAB and Excel , Third Edition vii
MATLAB Computations: Pages C−1, C−4 through C−5
References R−1
Index
Symbols Chebyshev polynomials of the disp(x) MATLAB function 2-5
% (percent) symbol 1-2 second kind 15-22 Display block in Simulink B-18
%d MATLAB symbol 2-5 Cholesky factorization 14-23 display formats in MATLAB 1-31
%e MATLAB symbol 2-21 classification of differential equations 5-2 distinct poles 12-2
%s MATLAB symbol 2-21 clc MATLAB command 1-2 distinct roots of characteristic
%u MATLAB symbol 2-21 clear MATLAB command 1-2 equation 5-9
coefficient matrix - see matrix divided differences 7-1
A cofactors - see matrix division of complex numbers 3-13
collect(s) MATLAB function 7-15, 12-11 dot division operator in MATLAB 1-21
abs(z) MATLAB function 1-24 column vector 1-19 dot exponentation operator
absolute cell in Excel 2-19 command screen in MATLAB 1-1 in MATLAB 1-21
absolutely convergent 15-10 command window in MATLAB 1-1 dot multiplication operator
Adams’ method 9-13 commas in MATLAB 1-7 in MATLAB 1-21
Add Trendline Excel feature 8-6 comment line in MATLAB 1-2 dsolve(s) MATLAB function 9-5
adjoint of a matrix - see matrix Commonly Used Blocks in Simulink B-7 dynamic programming 16-4
algebraic constrain block in Simulink B-18 complementary solution A-1
algebraic form of the Legendre complex conjugate 1-4 E
polynomials 15-17 complex numbers 1-2, 3-11
alternate form of the trigonometric complex poles 12-5 Editor window in MATLAB 1-1, 1-27
Fourier series 6-25 complex roots of characteristic Editor/Debugger in MATLAB 1-1, 1-2
alternating current 3-1 equation 5-9 eigenvalues 5-30
angle(z) MATLAB function 1-24 cond(A) MATLAB function C-2 eigenvectors 5-39
angular velocity 3-2 condition number of a matrix - see matrix element-by-element division
antidifference 7-12 configuration parameters in Simulink B-12 in MATLAB 1-21
approximations with Excel 2-7 congugate of a matrix - see matrix element-by-element exponentiation
associated Legendre differential conj(A) MATLAB function 4-8 in MATLAB 1-21
equation 15-18 conj(x) MATLAB function 4-8 element-by-element multiplication
associated Legendre functions of the conjugate of a complex number 3-12 in MATLAB 1-19, 1-21
first and second kind 15-18 connected network 16-15 elements of a matrix - see matrix
AutoFill Excel feature 2-9, 2-15 constraints in linear programming 16-1 eps in MATLAB 1-22, 1-27
autoscale icon in Simulink B-12 Contents Pane in Simulink B-7 equating the numerators procedure
axis MATLAB command 1-17, 1-22 conv(a,b) MATLAB function 1-6 in partial fraction expansion 12-13
Cramer’s rule 4-18, 8-4 Erlang distribution 13-16
B cubic interpolarion in MATLAB 7-25 error function 10-4
cubic spline interpolarion in MATLAB 7-25 error in method of least squares 8-3
backward substitution. 14-10 curve fitting 8-1 Euclidean norm C-1
Bessel function of negative order n 15-2 curved regression 8-7, 8-14 Euler’s identities 3-14
Bessel function of n 15-1 cycle 3-2 even functions 6-7, 6-31
Bessel functions 15-1 cyclic frequency 3-3 even symmetry 6-7
Bessel functions of the first kind 15-7 exit MATLAB command 2, 33
Bessel functions of the second kind 15-7 D EXP(GAMMALN(n)) Excel function 13-5
besselj(n,x) MATLAB function 15-3 expand(s) MATLAB function 7-13, 12-9
BESSELJ(x,n) Excel function 15-3 Data Analysis Toolpack in Excel 8-7 exponential form of complex
beta distribution 13-20 data points in MATLAB 1-14 numbers 3-14
beta function 13-17 decibel 12 exponential form of the
beta(m,n) MATLAB function 13-19 decimal format 2-21 Fourier series 6-29
BETADIST Excel function 13-21 deconv(p,q) MATLAB function 1-6, 7-8 eye(n) MATLAB function 4-6, 14-24
bisection method for root default color in MATLAB 1-14 eye(size(A)) MATLAB function 4-7
approximation 2-19 default line in MATLAB 1-15
box MATLAB command 1-12 default marker in MATLAB 1-14 F
default values in MATLAB 1-11
C degree of differential equation 5-3 factor(p) MATLAB function 12-3
demo in MATLAB 1-2 factorial polynomials 7-6
Casorati’s determinant 11-2 determinant - see matrix Fibonacci numbers 11-7
Cayley-Hamilton theorem 5-30 diag(v,k) MATLAB function 14-24 figure window in MATLAB 1-14
characteristic (auxiliary) equation 5-8 diagonal elements of a matrix - see matrix finite differences 7-1
characteristic equation of a second diagonal of a matrix - see matrix first divided difference 7-1
order difference equation 11-3 diff(s) MATLAB function 2-6 first harmonic 6-1
chart type in Excel 2-10 difference equations A-1 fixed point format 2-21
Chart Wizard Excel feature 2-10, 8-6 difference operator 7-4, 11-1 Flip Block command in Simulink B-11
Chebyshev polynomials 15-22 differences - see finite differences forced response 5-8
Chebyshev polynomials of the dipole 15-12 forcing function A-1
first kind 15-22 direct terms in MATLAB 12-1 format MATLAB command 1-31
directed network 16-15 format specifiers in MATLAB 2-21
IN1forward substitution 14-10 improper integral 13-1 Math Operations Library in Simulink B-11
Fourier analysis 3-2 improper rational function 12-1 MATLAB Demos 1-2
Fourier series 6-1 increments between points matrix (matrices) 4-1
fplot MATLAB command 1-27 in MATLAB 1-14 adjoint of 4-22
fprintf MATLAB command 7-29 in-phase sinusoids 3-3 coefficient C-3
frequency 3-2 input(‘string’) MATLAB command 2-2 cofactors of 4-11
Frequency Modulation (FM) 15-4 int(f,a,b) MATLAB function 10-5 condition number of C-2
frequency response 1-11 interp1(x,y,xi) MATLAB function 7-24 conformable for addition 4-2
full-wave rectifier with even interp1(x,y,xi,’method’) MATLAB conformable for multiplication 4-4
symmetry 6-24 function 7-25 conformable for subtraction 4-2
function block parameters in Simulink B-10 interp2(x,y,z,xi,yi) MATLAB congugate of 4-8
function files in MATLAB 1-26, 1-27, 2-4 function 7-25 determinant of 4-9
fundamental frequency 6-1 interp2(x,y,z,xi,yi,’method’) MATLAB diagonal elements of 4-1
fundamental theorem of function 7-25 diagonal of 4-6
integral calculus 7-12 interpolation 7-1 elements of 4-1
fundamental theorem of interpolation with MATLAB 7-24 Hermitian 4-9
sum calculus 7-13 interval halving 2-19 Hilbert C-3
fzero MATLAB function 1-27, 1-29 inverse of a matrix - see matrix identity 4-6
fzero(‘function’,x0) MATLAB isoprofit line 16-2 ill-conditioned 4-22, C-2
function 12-18 inverse of 4-23
fzero(f,x) MATLAB function 2-7 J lower triangular 4-6
main diagonal elements of 4-1
G j operator 3-11 main diagonal of 4-1
minor of determinant 4-13
Gain block in Simulink B-18 L non-singular 4-22
gamma distribution 13-16 scalar 4-6
gamma function 13-1 L’ Hôpital’s rule 13-2 singular 4-22
gamma(n) MATLAB function 13-3, 13-10 lagging sinudoid 3-3 size of 4-7
GAMMADIST Excel function 13-16 Lagrange’s interpolation method 7-17 skew-Hermitian 4-9
GAMMALN Excel function 13-5 Laguerre polynomials 15-21 skew-symmetric 4-8
Gaussian elimination method 4-20, 14-9 leading sinusoid 3-3 square 4-1
Genenbauer 15-22 least squares 8-2, 8-3 symmetric 4-8
general solution of a differential least squares line 8-2 trace of 4-2
equation 5-6 least-squares curve 8-2 transpose of 4-7
generalized factorial function 13-1 least-squares parabola 8-2, 8-7 unitary 14-25
generating function for Bessel functions Legendre functions 15-10 upper triangular 4-5
of the first kind of integer order 15-9 Legendre functions of the well-conditioned C-2
generating function for Legendre second kind 15-11 zero matrix - see matrix
polynomials 15-12 Legendre polynomials 15-11 matrix left division in MATLAB 4-26
Goal Seek Excel feature 2-16 Legendre polynomials in matrix multiplication in MATLAB 1-19, 1-20
Gram-Schmidt orthogonalization trigonometric form 15-18 mesh(x,y,z) MATLAB command 1-17
procedure 5-39, 14-7 legendre(n,x) MATLAB function 15-19 mesh(Z) MATLAB function 7-32
Gregory-Newton Backward Legendre’s equation 15-10 meshgrid(x,y) MATLAB command 1-17
Interpolation Formula 7-21 lims = MATLAB function 1-27 method of Frobenius 15-1
Gregory-Newton Forward line graph 16-4 method of least squares 8-2, 8-3
Interpolation Formula 7-19 line spectrum 6-33 method of Picard 15-1
grid MATLAB command 1-11 linear factor 1-9 method of undetermined
gtext MATLAB command 1-14, 15-25 linear interpolarion 7-25 coefficients 5-10, 11-2, A-1
linear programming 16-1 method of variation of parameters 5-20
H linear regression 8-2 m-file in MATLAB 1-1 1-26, 1-27
linspace MATLAB command 1-14 Milne’s method 9-15
half-wave rectifier 6-19, 6-22 ln (natural logarithm) 1-12 minimum span problems 16-15
half-wave symmetry 6-7, 6-31 log (common logarithm) 1-12 minor of determinant - see matrix
help in MATLAB 1-2, 1-15 log(x) MATLAB function 1-12 MINVERSE Excel function 4-28
Hermitian matrix - see matrix log10(x) MATLAB function 1-12 MMULT Excel function 4-28, 4-29
hilb(n) MATLAB function C-4 log2(x) MATLAB function 1-12 modified Bessel functions 15-7
Hilbert matrix - see matrix loglog MATLAB command 1-12, 34 modulation index 15-4
homogeneous difference equation 11-2 lower triangular matrix - see matrix multiple poles 12-6
Hz (Hertz) 3-3 lsqnonneg MATLAB function 14-28 multiplication of complex numbers 3-12
LU factorization method 14-9
I lu(A) MATLAB function 14-12, 14-14 N
identity matrix - see matrix M NaN in MATLAB 1-27
ill-conditioned matrix - see matrix natural response 5-8, A-1
imag(z) MATLAB function 1-24 Maclaurin power series 6-41, 7-6 nearest neighbor interpolarion 7-25
imaginary axis 3-10 main diagonal elements - see matrix network analysis 16-14
imaginary number 3-10 main diagonal of a matrix - see matrix Neumann functions 15-7
IN2Newton’s divided difference quadratic factor 1-9 Stirling’s asymptotic series
interpolation method 7-15 quit MATLAB command 1-2 for the G(n) function 13-9
Newton-Cotes 8-panel rule 10-10 string in MATLAB 1-17
non-homogeneous difference R subplot MATLAB command 1-18
equation 11-2 surface zonal harmonics 15-11
non-homogeneous ODE 5-6 radian frequency 3-2 svd(A) MATLAB function 14-28
non-singular matrix - see matrix rational polynomial 1-8 sym, syms MATLAB symbolic
norm C-1 rationalization of the quotient 3-13 expressions 12-4
norm(A) MATLAB function C-1 real axis 3-10 symbolic expressions in MATLAB 12-3
numeric expressions in MATLAB 12-4 real number 3-11 Symbolic Math Toolbox in MATLAB 12-4
numerical evaluation of Fourier real(z) MATLAB function 1-24 symmetric matrix - see matrix
coefficients 6-36 recursion A-1 symmetry 6-7, 6-14, 6-31
recursive method A-1
O regression 8-1 T
regression analysis 8-7
odd functions 6-8, 6-31 relative cell in Excel 2-19 Taylor series 5-24, 6-41, 6-44
odd symmetry 6-7 repeated poles 5-9, 12- 6 Taylor series expansion method 9-1
ODE (Ordinary Differential Equation) 5-3 residue(r,p,k) MATLAB function 12-1 text MATLAB command 1-14, 1-17
ode23 MATLAB function 9-9 revolutions per second 3-5 third harmonic 6-1
ode45 MATLAB function 9-9 Rodrigues’ formula 15-12, 15-18 title(‘string’) in MATLAB 1-12
one-dimensional wave equation 5-3 roots of polynomials 1-3 trace of a matrix - see matrix
optimum path policy 16-5 roots(p) MATLAB function 1-3, 1-8 transpose of a matrix - see matrix
order of a differential equation 5-3 rotating vector 3-5 trapezoidal rule 10-1
ordinary differential equation 5-3 round(n) MATLAB function 1-24 trapz(x,y) MATLAB function 10-3, 10-5
oriented network 16-15 row vector 1-3, 1-19 Tree Pane in Simulink B-7
orthogonal basis 14-5 Runge-Kutta method 5-24, 9-5 Trendline Excel feature 8-9
orthogonal functions 6-2, 14-1, 14-2 triangular waveform 6-11, 6-19
orthogonal system 15-9 S trigonometric Fourier series 6-1
orthogonal trajectories 14-2 trigonometric relations 3-5
orthogonal unit vectors 14-5 sawtooth waveform 6-10, 6-18 two-dimensional plots 7-32
orthogonal vectors 5-39, 14-4 scalar matrix - see matrix type of a diferential equation 5-2
orthonormal basis 14-5 Scope block in Simulink B-12
out-of-phase sinusoids 3-3 script file in MATLAB 1-26 U
overdetermined system 8-3 second divided difference 7-1
second harmonic 6-1 ultraspherical functions 15-22
P semicolons in MATLAB 1-7 undetermined system 8-3
semilogx MATLAB command 1-12 unit fraction C-3
parabolic curve 8-1 semilogy MATLAB command 1-12 unitary matrix - see matrix
partial differential equation (PDE) 5-3 simple differential equations 5-1 upper triangular matrix - see matrix
partial fraction expansion 12-1 simplex method 16-4
PDE (Partial Differential Equation) 5-3 Simpson’s rule 10-6 V
Pearson correlation coefficient 8-10 Simulation drop menu in Simulink B-12
period 3-2, 3-3 simulation start icon in Simulink B-12 VLOOKUP Excel function 7-23
periodic waveform 3-2 Simulink icon B-7
phasor 3-2 Simulink Library Browser B-8 W
plot area in Excel 6 singular matrix - see matrix
plot MATLAB command 1-9, 1-12, 1-15 Singular Value Decomposition 14-28 Wallis’s formulas 13-16
plot3 MATLAB command 1-16 Sinks library B-18 Weber functions 15-7
polar form of complex numbers 3-15 sinusoids 3-2 well-conditioned matrix - see matrix
polar plot in MATLAB 1-24 size of a matrix - see matrix while end in MATLAB 2-4
polar(theta,r) MATLAB function 1-24 skew-Hermitian matrix - see matrix Wronskian determinant 5-10, 11-2
poles 12-2 skew-symmetric matrix - see matrix
poly MATLAB function 1-4 solution of the homogeneous ODE 5-8 X
polyder MATLAB function 1-7 solutions of ODEs 5-6
polyfit(x,y,n) MATLAB function 8-11 space equations 5-24 xlabel MATLAB command 1-12
polynomial construction from known spectrum analyzer 33 XY (Scatter) in Excel 8-6
roots in MATLAB 1-4 spherical harmonics 15-18
polyval(p,x) MATLAB function 1-5, 8-11 sprintf MATLAB command 2-5 Y
power series 6-40 sqrt MATLAB function 10-12
proper rational function 12-1 square matrix - see matrix ylabel MATLAB command 1-12
square waveform
Q 6-9, 6-14, 6-16, 6-48, 6-49 Z
start simulation in Simulink B-12
QR factorization 14-25 state equations 5-24 zero matrix - see matrix
qr(A) MATLAB function 14-25 state transition matrix 5-28 zeros 12-2
quad MATLAB function 10-10 state variables 5-24 zlabel MATLAB command 1-17
quad8 MATLAB function 10-10 State-Space block in Simulink B-12
quadratic curve 8-1


 كلمة سر فك الضغط : books-world.net
The Unzip Password : books-world.net
أتمنى أن تستفيدوا من محتوى الموضوع وأن ينال إعجابكم

رابط من موقع عالم الكتب لتنزيل كتاب Numerical Analysis Using MATLAB and Excel
رابط مباشر لتنزيل كتاب Numerical Analysis Using MATLAB and Excel

الرجوع الى أعلى الصفحة اذهب الى الأسفل
 
كتاب Numerical Analysis Using MATLAB and Excel
الرجوع الى أعلى الصفحة 
صفحة 2 من اصل 1

صلاحيات هذا المنتدى:لاتستطيع الرد على المواضيع في هذا المنتدى
منتدى هندسة الإنتاج والتصميم الميكانيكى :: المنتديات الهندسية :: منتدى شروحات البرامج الهندسية-
انتقل الى: