《Mathematical Methods in Chemical Engineering》求取 ⇩
作者 | V.G.JENSON G.V.JEFFREYS 编者 |
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出版 | ACADEMIC PRESS |
参考页数 | 556 ✅ 真实服务 非骗流量 ❤️ |
出版时间 | 没有确切时间的资料 目录预览 |
ISBN号 | 无 — 违规投诉 / 求助条款 |
PDF编号 | 811535968(学习资料 勿作它用) |
求助格式 | 扫描PDF(若分多册发行,每次仅能受理1册) |
Chapter 1THE MATHEMATICAL STATEMENT OF THE PROBLEM1
1.1 INTRODUCTION1
1.2 REPRESENTATION OF THE PROBLEM1
1.3 SOLVENT EXTRACTION IN TWO STAGES3
1.4 SOLVENT EXTRACTION IN N STAGES4
1.5 SIMPLE WATER STILL WITH PREHEATED FEED6
1.6 UNSTEADY STATE OPERATION8
1.7 SALT ACCUMULATION IN A STIRRED TANK11
1.8 RADIAL HEAT TRANSFER THROUGH A CYLINDRICAL CONDUCTOR14
1.9 HEATING A CLOSED KETTLE16
1.10 DEPENDENT AND INDEPENDENT VARIABLES,PARAMETERS17
1.11 BOUNDARY CONDITIONS18
1.12 SIGN CONVENTIONS19
1.13 SUMMARY OF THE METHOD OF FORMULATION21
Chapter 2ORDINARY DIFFERENTIAL EQUATIONS23
2.1 INTRODUCTION23
2.2 ORDER AND DEGREE23
2.3 FIRST ORDER DIFFERENTIAL EQUATIONS24
2.4 SECOND ORDER DIFFERENTIAL EQUATIONS33
2.5 LINEAR DIFFERENTIAL EQUATIONS41
2.6 SIMULTANEOUS DIFFERENTIAL EQUATIONS66
2.7 CONCLUSIONS72
Chapter 3SOLUTION BY SERIES74
3.1 INTRODUCTION74
3.2 INFINITE SERIES74
3.3 POWER SERIES79
3.4 SIMPLE SERIES SOLUTIONS86
3.5 METHOD OF FROBENIUS90
3.6 BESSEL'S EQUATION106
3.7 PROPERTIES OF BESSEL FUNCTIONS113
Chapter 4COMPLEX ALGEBRA117
4.1 INTRODUCTION117
4.2 THE COMPLEX NUMBER117
4.3 THE ARGAND DIAGRAM118
4.4 PRINCIPAL VALUES119
4.5 ALGEBRAIC OPERATIONS ON THE ARGAND DIAGRAM120
4.6 CONJUGATE NUMBERS123
4.7 DE MOIVRE'S THEOREM124
4.8 THE nTH ROOTS OF UNITY125
4.9 COMPLEX NUMBER SERIES126
4.10 TRIGONOMETRICAL—EXPONENTIAL IDENTITIES128
4.11 THE COMPLEX VARIABLE128
4.12 DERIVATIVES OF A COMPLEX VARIABLE130
4.13 ANALYTIC FUNCTIONS131
4.14 SINGULARITIES132
4.15 INTEGRATION OF FUNCTIONS OF COMPLEX VARIABLES,AND CAUCHY'S THEOREM137
4.16 LAURENT'S EXPANSION AND THE THEORY OF RESIDUES142
Chapter 5FUNCTIONS AND DEFINITE INTEGRALS149
5.1 INTRODUCTION149
5.2 THE ERROR FUNCTION149
5.3 THE GAMMA FUNCTION151
5.4 THE BETA FUNCTION154
5.5 OTHER TABULATED FUNCTIONS WHICH ARE DEFINED BY INTEGRALS157
5.6 EVALUATION OF DEFINITE INTEGRALS159
Chapter 6THE LAPLACE TRANSFORMATION163
6.1 INTRODUCTION163
6.2 THE LAPLACE TRANSFORM163
6.3 THE INVERSE TRANSFORMATION167
6.4 PROPERTIES OF THE LAPLACE TRANSFORMATION170
6.5 THE STEP FUNCTIONS174
6.6 CONVOLUTION179
6.7 FURTHER ELEMENTARY METHODS OF INVERSION180
6.8 INVERSION OF THE LAPLACE TRANSFORM BY CONTOUR INTEGRATION182
6.9 APPLICATION OF THE LAPLACE TRANSFORM TO AUTOMATIC CONTROL THEORY188
Chapter 7VECTOR ANALYSIS199
7.1 INTRODUCTION199
7.2 TENSORS200
7.3 ADDITION AND SUBTRACTION OF VECTORS203
7.4 MULTIPLICATION OF VECTORS210
7.5 DIFFERENTIATION OF VECTORS216
7.6 HAMILTON'S OPERATOR,?218
7.7 INTEGRATION OF VECTORS AND SCALARS222
7.8 STANDARD IDENTITIES227
7.9 CURVILINEAR COORDINATE SYSTEMS228
7.10 THE EQUATIONS OF FLUID FLOW231
7.11 TRANSPORT OF HEAT,MASS,AND MOMENTUM236
Chapter 8PARTIAL DIFFERENTIATION AND PARTIAL DIFFERENTIAL EQUATIONS238
8.1 INTRODUCTION238
8.2 INTERPRETATION OF PARTIAL DERIVATIVES239
8.3 FORMULATING PARTIAL DIFFERENTIAL EQUATIONS245
8.4 BOUNDARY CONDITIONS252
8.5 PARTICULAR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS259
8.6 ORTHOGONAL FUNCTIONS269
8.7 METHOD OF SEPARATION OF VARIABLES272
8.8 THE LAPLACE TRANSFORM METHOD290
8.9 OTHER TRANSFORMS302
8.10 CONCLUSIONS306
Chapter 9FINITE DIFFERENCES307
9.1 INTRODUCTION307
9.2 THE DIFFERENCE OPERATOR,△307
9.3 OTHER DIFFERENCE OPERATORS311
9.4 INTERPOLATION315
9.5 FINITE DIFFERENCE EQUATIONS321
9.6 LINEAR FINITE DIFFERENCE EQUATIONS322
9.7 NON-LINEAR FINITE DIFFERENCE EQUATIONS331
9.8 DIFFERENTIAL-DIFFERENCE EQUATIONS338
Chapter 10TREATMENT OF EXPERIMENTAL RESULTS349
10.1 INTRODUCTION349
10.2 GRAPH PAPER349
10.3 THEORETICAL PROPERTIES354
10.4 CONTOUR PLOTS355
10.5 PROPAGATION OF ERRORS356
10.6 CURVE FITTING360
10.7 NUMERICAL INTEGRATION369
Chapter 11NUMERICAL METHODS380
11.1 INTRODUCTION380
11.2 FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS380
11.3 HIGHER ORDER DIFFERENTIAL EQUATIONS(INITIAL VALUE TYPE)385
11.4 HIGHER ORDER DIFFERENTIAL EQUATIONS(BOUNDARY VALUE TYPE)388
11.5 ALGEBRAIC EQUATIONS397
11.6 DIFFERENCE-DIFFERENTIAL EQUATIONS406
11.7 PARTIAL DIFFERENTIAL EQUATIONS409
Chapter 12MATRICES437
12.1 INTRODUCTION437
12.2 THE MATRIX438
12.3 MATRIX ALGEBRA439
12.4 DETERMINANTS OF SQUARE MATRICES AND MATRIX PRODUCTS443
12.5 THE TRANSPOSE OF A MATRIX443
12.6 ADJOINT MATRICES444
12.7 RECIPROCAL OF A SQUARE MATRIX444
12.8 THE RANK AND DEGENERACY OF A MATRIX446
12.9 THE SUB-MATRIX448
12.10 SOLUTION OF LINEAR ALGEBRAIC EQUATIONS448
12.11 MATRIX SERIES449
12.12 DIFFERENTIATION AND INTEGRATION OF MATRICES451
12.13 LAMBDA-MATRICES452
12.14 THE CHARACTERISTIC EQUATION454
12.15 SYLVESTER'S THEOREM457
12.16 TRANSFORMATION OF MATRICES459
12.17 QUADRATIC FORM461
12.18 APPLICATION TO THE SOLUTION OF DIFFERENTIAL EQUATIONS463
12.19 SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS465
12.20 CONCLUSIONS472
Chapter 13OPTIMIZATION473
13.1 INTRODUCTION473
13.2 TYPES OF OPTIMIZATION474
13.3 ANALYTICAL PROCEDURES475
13.4 THE METHOD OF STEEPEST ASCENT483
13.5 THE SEQUENTIAL SIMPLEX METHOD485
13.6 DYNAMIC PROGRAMMING486
Chapter 14COMPUTERS492
14.1 INTRODUCTION492
14.2 PASSIVE ANALOGUE COMPUTERS493
14.3 ACTIVE ANALOGUE COMPUTERS496
14.4 DIGITAL COMPUTERS505
14.5 COMPARISON OF THE USES OF ANALOGUE AND DIGITAL COMPUTERS509
PROBLEMS511
APPENDIX532
SUBJECT INDEX543
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高度相关资料
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