Mathematical Analysis for Engineers
Medias
About
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.
Content
- 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
Details
Publisher: EPFL Press English Imprint
Collection: Mathematics
Published: 14 november 2025
Edition: 1st edition
Media: eBook [PDF]
Pages count eBook [PDF]: 372
Size: 4.98 MB (PDF)
Language(s): English
EAN13 eBook [PDF]: 9782832323243
DOI eBook [PDF] : 10.55430/6118MAEBD
From the same author
35,00 €
