Mathematical Analysis for Engineers
Medias
Présentation
This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students. The first three parts of the book represent the theoretical aspect and are independent of each other. The fourth part gives detailed solutions to all exercises that are proposed in the first three parts.
Sommaire
- Foreword
- I Vector analysis
- 1 Differential operators of mathematical physics
- 2 Line integrals
- 3 Gradient vector fi?elds
- 4 Green theorem
- 5 Surface integrals
- 6 Divergence theorem
- 7 Stokes theorem
- 8 Appendix
- II Complex analysis
- 9 Holomorphic functions and Cauchy ?Riemann equations
- 10 Complex integration
- 11 Laurent series
- 12 Residue theorem and applications
- 13 Conformal mapping
- III Fourier analysis
- 14 Fourier series
- 15 Fourier transform
- 16 Laplace transform
- 17 Applications to ordinary differential equations
- 18 Applications to partial differential equations
- IV Solutions to the exercises
- Bibliography
- Table of Fourier Transform
- Table of Laplace Transform
- Index
Informations
Éditeur : EPFL Press English Imprint
Collection : Mathematics
Publication : 14 novembre 2025
Édition : 1re édition
Support(s) : eBook [PDF]
Nombre de pages eBook [PDF] : 372
Taille(s) : 4,98 Mo (PDF)
Langue(s) : Anglais
EAN13 eBook [PDF] : 9782832323243
DOI eBook [PDF] : 10.55430/6118MAEBD
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35,00 €
