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Mathematical analysis for engineers

Author: Bernard Dacorogna; Chiara Tanteri
Publisher: London : Imperial College Press ; Hackensack, NJ : Distributed by World Scientific Pub., ©2012.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Problems and exercises
Problems, exercises, etc
Document Type: Book
All Authors / Contributors: Bernard Dacorogna; Chiara Tanteri
ISBN: 9781848169128 1848169124
OCLC Number: 805733783
Language Note: Text in English.
Notes: "Originally published in French under the title: "Analyse avancée pour ingénieurs", ©2002"--Title page verso.
Description: x, 359 pages : illustrations ; 24 cm
Contents: 1. Differential operators of mathematical physics --
2. Line integrals --
3. Gradient vector fields --
4. Green theorem --
5. Surface integrals --
6. Divergence theorem --
7. Stokes theorem --
8. Appendix --
9. Holomorphic functions and Cauchy-Riemann equations --
10. Complex integration --
11. Laurent series --
12. Residue theorem and applications --
13. Conformal mapping --
14. Fourier series --
15. Fourier transform --
16. Laplace transform --
17. Applications to ordinary differential equations --
18. Applications to partial differential equations --
Exercises: Differential operators of mathematical physics --
Line integrals --
Gradient vector fields --
Green theorem --
Surface integrals --
Divergence theorem --
Stokes theorem --
Holomorphic functions and Cauchy-Riemann equations --
Complex integration --
Laurent series --
Residue theorem and applications --
Conformal mapping --
Fourier series --
Fourier transform --
Laplace transform --
Applications to ordinary differential equations --
Applications to partial differential equations --
Bibliography --
Table of Fourier transform --
Table of Laplace transform.
Other Titles: Analyse avancée pour ingénieurs.
Responsibility: Bernard Dacorogna, Chiara Tanteri.

Abstract:

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  Read more...

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Undergraduate students will benefit much from this book as a self-study at their own pace to learn and master Analysis. Starred exercises give deeper understanding of concepts. The book is very Read more...

 
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