Applications of Complex Variables. Asymptotics and Integral Transforms

✍ Scribed by Foluso Ladeinde

• Publisher: De Gruyter
• Year: 2024
• Tongue: English
• Leaves: 606
• Series: Graduate
• Category: Library

✦ Table of Contents

About the author
Preface
Acknowledgments
Contents
Abbreviations
Nomenclature
Part I: Introduction to complex variables
Introduction to Part I
1 Introductory concepts
2 Laurent series, residue theorem, and contour integration
3 Conformal mapping and its applications
4 Application of complex variable theory and conformal mapping to perfect fluid flow
Part II: Complex integral transforms
Introduction to Part II
5 The techniques of complex Laplace transform
6 Asymptotic behavior of complex integrals
7 The techniques of complex Fourier transform
8 Modern applications of complex variables
Appendix A Table of Laplace transforms pairs in diffusion analysis
Appendix B Table of general properties of Laplace transforms
Appendix C Table of common Laplace transform pairs
Appendix D Table of special functions
Appendix E Bessel Functions
Appendix F Special functions
Appendix G Miscellaneous functions
Appendix H Table of transformations of regions
List of figures
Index