Titre : |
Advanced engineering mathematics |
Type de document : |
texte imprimé |
Auteurs : |
O'Neil , Peter V., Auteur |
Mention d'édition : |
4 éd |
Editeur : |
Boston : PWS Publishers |
Année de publication : |
1995 |
Importance : |
XIV-111p. |
Présentation : |
ill. |
Format : |
30 cm |
ISBN/ISSN/EAN : |
978-0-534-94320-2 |
Note générale : |
Index |
Langues : |
Français (fre) |
Mots-clés : |
Mathématiques--Differential Calculus
Mathématiques--Integral Calculus |
Index. décimale : |
51 Mathématiques |
Résumé : |
The computer plays a prominent role throughout the text in generating computer graphics used to display such concepts as direction fields, phase portraits, surfaces and vector fields, convergence of Fourier series, the Gibbs phenomenon, and filtering noise from signals. |
Note de contenu : |
Sommaire:
PART I: ORDINARY DIFFERENTIAL EQUATIONS.
1. First Order Differential Equations.
2. Second Order Differential Equations.
3. The Laplace Transform.
4. Series Solutions.
5. Numerical Approximation of Solutions.
6. Sturm-Liouville Theory, Eigenfunction Expansions, and Special Functions.
PART II: VECTORS AND LINEAR ALGEBRA.
7. Vectors and Vector Spaces.
8. Matrices, Determinants, and Systems of Linear Equations.
9. Eigenvalues and Diagonalization.
PART III: SYSTEMS OF DIFFERENTIAL EQUATIONS AND QUALITATIVE METHODS.
10. Systems of Linear Differential Equations.
11. Nonlinear Differential Equations and Qualitative Methods. PART IV: VECTOR ANALYSIS.
12. Vector Differential Calculus.
13. Vector Integral Calculus.
PART V: FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS.
14. Fourier Series and Integrals.
15. Fourier Transforms.
16. Partial Differential Equations and Boundary Value Problems. PART VI: COMPLEX ANALYSIS.
17. Complex Numbers and Complex Functions.
18. Complex Integration.
19. Conformal Mappings and Some Applications.
PART VII: HISTORICAL NOTES. |
ISBN 13 : |
978-0534943202 |
Advanced engineering mathematics [texte imprimé] / O'Neil , Peter V., Auteur . - 4 éd . - Boston : PWS Publishers, 1995 . - XIV-111p. : ill. ; 30 cm. ISBN : 978-0-534-94320-2 Index Langues : Français ( fre)
Mots-clés : |
Mathématiques--Differential Calculus
Mathématiques--Integral Calculus |
Index. décimale : |
51 Mathématiques |
Résumé : |
The computer plays a prominent role throughout the text in generating computer graphics used to display such concepts as direction fields, phase portraits, surfaces and vector fields, convergence of Fourier series, the Gibbs phenomenon, and filtering noise from signals. |
Note de contenu : |
Sommaire:
PART I: ORDINARY DIFFERENTIAL EQUATIONS.
1. First Order Differential Equations.
2. Second Order Differential Equations.
3. The Laplace Transform.
4. Series Solutions.
5. Numerical Approximation of Solutions.
6. Sturm-Liouville Theory, Eigenfunction Expansions, and Special Functions.
PART II: VECTORS AND LINEAR ALGEBRA.
7. Vectors and Vector Spaces.
8. Matrices, Determinants, and Systems of Linear Equations.
9. Eigenvalues and Diagonalization.
PART III: SYSTEMS OF DIFFERENTIAL EQUATIONS AND QUALITATIVE METHODS.
10. Systems of Linear Differential Equations.
11. Nonlinear Differential Equations and Qualitative Methods. PART IV: VECTOR ANALYSIS.
12. Vector Differential Calculus.
13. Vector Integral Calculus.
PART V: FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS.
14. Fourier Series and Integrals.
15. Fourier Transforms.
16. Partial Differential Equations and Boundary Value Problems. PART VI: COMPLEX ANALYSIS.
17. Complex Numbers and Complex Functions.
18. Complex Integration.
19. Conformal Mappings and Some Applications.
PART VII: HISTORICAL NOTES. |
ISBN 13 : |
978-0534943202 |
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