Mathematics of engineering systems / Francis H. Raven.
Editor: New York : Tokyo : McGraw-Hill ; Kogakusha, c1966Edición: International student edDescripción: xiii, 524 p. : il. ; 21 cmOtra clasificación: 00A06chapter 1. The Laplace transformation [1] 1.1 Fourier Series [1] 1.2 Even and Odd Functions [5] 1.3 Exponential Form of the Fourier Series [14] 1.4 The Fourier Transformation [18] 1.5 The Laplace Transformation [20] chapter 2. Properties of the Laplace transformation [31] 2.1 Transforms of Functions [31] 2.2 Transforms of Derivatives and Integrals [33] 2.3 Transform Properties [38] 2.4 Transform Theorems [42] 2.5 Classical Method [53] chapter 3. Linear differential equations [65] 3.1 Differential Equations [65] 3.2 Partial Fraction Expansion [69] 3.3 Complex Conjugate Roots [76] 3.4 System Response [83] 3.5 Characteristic Equation [90] 3.6 Vertical Shifting [95] 3.7 Response to an Arbitrary Input [99] 3.8 The Convolution Integral [101] chapter 4. Engineering applications [115] 4.1 Mechanical Systems [115] 4.2 Sinusoidal Response [119] 4.3 Simultaneous Differential Equations [128] 4.4 Electrical Systems [135] 4.5 Duals and Analogs [142] 4.6 State-space Method [148] 4.7 Structures [154] chapter 5. Complex-variable theory [173] 5.1 Complex Numbers [173] 5.2 Differentiation of Complex Variables [176] 5.3 Integration in the Complex Plane [183] 5.4 Cauchy’s Integral Theorem [186] 5.5 Cauchy’s Integral Formula [194] 5.6 The Residue Theorem [197] 5.7 Taylor Series [201] 5.8 Laurent Series [205] 5.9 Analytic Continuation [211] chapter 6. Residues and contour Integration [219] 6.1 The Complex Inversion Integral [219] 6.2 Evaluation by Residues [222] 6.3 Inverse Transformations [225] 6.4 Contour Integration [229] 6.5 Multivalued Functions [241] chapter 7. Partial differential equations [253] 7.1 Transform of Functions of Two Variables [254] 7.2 The Wave Equation [255] 7.3 D’Alembert’s Solution [276] 7.4 The Heat, or Diffusion, Equation [279] 7.5 Response to an Arbitrary Input [287] 7.6 Multidimensional Equations [289] chapter 8. Boundary-value problems [297] 8.1 Finite Fourier Sine Transformation [299] 8.2 Finite Fourier Cosine Transformation [307] 8.3 Fourier Sine and Cosine Transformations [309] 8.4 Separation of Variables [311] 8.5 Hyperbolic, Parabolic, and Elliptic Equations [321] chapter 9. Vector-field theory [337] 9.1 Fluid Flow [337] 9.2 Vector Analysis [340] 9.3 Potential Theory [349] 9.4 Electric Fields [356] 9.5 Magnetic Fields [359] chapter 10. Mapping [367] 10.1 Geometric Transformations [367] 10.2 Bilinear Transformations [370] 10.3 Schwarz-Christoffel Transformation [381] 10.4 Conformal Mapping [388] chapter 11. Differential equations with variable coefficients [397] 11.1 Variable Coefficients [397] 11.2 Bessel’s Differential Equation [399] 11.3 Equations Reducible to Bessel’s Equation [411] 11.4 Series Solution of Differential Equations [414] 11.5 Cylindrical Coordinates [425] 11.6 Finite Hankel Transformation [433] 11.7 Spherical Coordinates [438] 11.8 Legendre Transformation [445] 11.9 Orthogonal Functions [450] chapter 12. Matrices and numerical methods [469] 12.1 Matrices [469] 12.2 Systems of Equations [474] 12.3 Homogeneous Equations [480] 12.4 Eigenvalues [482] 12.5 Computer Solutions [491] 12.6 Numerical Methods [500] 12.7 Finite Differences [503] appendix A Laplace Transforms [515] appendix B Finite Sine Transforms [517] appendix C Finite Cosine Transforms [518]
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 00A06 R253 (Browse shelf) | Available | A-3046 |
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| 00A06 K92e-3 Matemáticas avanzadas para ingeniería / | 00A06 M829-2 Introduction mathématique aux théories physiques modernes. | 00A06 P665-2 Matemáticas aplicadas para ingenieros y físicos / | 00A06 R253 Mathematics of engineering systems / | 00A06 Sm642 An introduction to matrix and finite element methods in civil engineering / | 00A06 St925-4 Advanced engineering mathematics / | 00A07 Ar791 The contest problem book IV : |
Incluye referencias bibliográficas.
chapter 1. The Laplace transformation [1] --
1.1 Fourier Series [1] --
1.2 Even and Odd Functions [5] --
1.3 Exponential Form of the Fourier Series [14] --
1.4 The Fourier Transformation [18] --
1.5 The Laplace Transformation [20] --
chapter 2. Properties of the Laplace transformation [31] --
2.1 Transforms of Functions [31] --
2.2 Transforms of Derivatives and Integrals [33] --
2.3 Transform Properties [38] --
2.4 Transform Theorems [42] --
2.5 Classical Method [53] --
chapter 3. Linear differential equations [65] --
3.1 Differential Equations [65] --
3.2 Partial Fraction Expansion [69] --
3.3 Complex Conjugate Roots [76] --
3.4 System Response [83] --
3.5 Characteristic Equation [90] --
3.6 Vertical Shifting [95] --
3.7 Response to an Arbitrary Input [99] --
3.8 The Convolution Integral [101] --
chapter 4. Engineering applications [115] --
4.1 Mechanical Systems [115] --
4.2 Sinusoidal Response [119] --
4.3 Simultaneous Differential Equations [128] --
4.4 Electrical Systems [135] --
4.5 Duals and Analogs [142] --
4.6 State-space Method [148] --
4.7 Structures [154] --
chapter 5. Complex-variable theory [173] --
5.1 Complex Numbers [173] --
5.2 Differentiation of Complex Variables [176] --
5.3 Integration in the Complex Plane [183] --
5.4 Cauchy’s Integral Theorem [186] --
5.5 Cauchy’s Integral Formula [194] --
5.6 The Residue Theorem [197] --
5.7 Taylor Series [201] --
5.8 Laurent Series [205] --
5.9 Analytic Continuation [211] --
chapter 6. Residues and contour Integration [219] --
6.1 The Complex Inversion Integral [219] --
6.2 Evaluation by Residues [222] --
6.3 Inverse Transformations [225] --
6.4 Contour Integration [229] --
6.5 Multivalued Functions [241] --
chapter 7. Partial differential equations [253] --
7.1 Transform of Functions of Two Variables [254] --
7.2 The Wave Equation [255] --
7.3 D’Alembert’s Solution [276] --
7.4 The Heat, or Diffusion, Equation [279] --
7.5 Response to an Arbitrary Input [287] --
7.6 Multidimensional Equations [289] --
chapter 8. Boundary-value problems [297] --
8.1 Finite Fourier Sine Transformation [299] --
8.2 Finite Fourier Cosine Transformation [307] --
8.3 Fourier Sine and Cosine Transformations [309] --
8.4 Separation of Variables [311] --
8.5 Hyperbolic, Parabolic, and Elliptic Equations [321] --
chapter 9. Vector-field theory [337] --
9.1 Fluid Flow [337] --
9.2 Vector Analysis [340] --
9.3 Potential Theory [349] --
9.4 Electric Fields [356] --
9.5 Magnetic Fields [359] --
chapter 10. Mapping [367] --
10.1 Geometric Transformations [367] --
10.2 Bilinear Transformations [370] --
10.3 Schwarz-Christoffel Transformation [381] --
10.4 Conformal Mapping [388] --
chapter 11. Differential equations with variable coefficients [397] --
11.1 Variable Coefficients [397] --
11.2 Bessel’s Differential Equation [399] --
11.3 Equations Reducible to Bessel’s Equation [411] --
11.4 Series Solution of Differential Equations [414] --
11.5 Cylindrical Coordinates [425] --
11.6 Finite Hankel Transformation [433] --
11.7 Spherical Coordinates [438] --
11.8 Legendre Transformation [445] --
11.9 Orthogonal Functions [450] --
chapter 12. Matrices and numerical methods [469] --
12.1 Matrices [469] --
12.2 Systems of Equations [474] --
12.3 Homogeneous Equations [480] --
12.4 Eigenvalues [482] --
12.5 Computer Solutions [491] --
12.6 Numerical Methods [500] --
12.7 Finite Differences [503] --
appendix A Laplace Transforms [515] --
appendix B Finite Sine Transforms [517] --
appendix C Finite Cosine Transforms [518] --
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