Applications of Complex Variables : : Asymptotics and Integral Transforms / / Foluso Ladeinde.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1
• VerfasserIn: Ladeinde, Foluso,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2024]; ©2024
• Year of Publication: 2024
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (XVII, 583 p.)

The subject of applied complex variables is so fundamental that most of the other topics in advanced engineering mathematics (AEM) depend on it. The present book contains complete coverage of the subject, summarizing the more elementary aspects that you find in most AEM textbooks and delving into the more specialized topics that are less commonplace. The book represents a one-stop reference for complex variables in engineering. The applications of conformal mapping in this book are significantly more extensive than in other AEM textbooks. The treatments of complex integral transforms enable a much larger class of functions that can be transformed, resulting in an expanded use of complex-transform techniques in engineering analysis. The inclusion of the asymptotics of complex integrals enables the analysis of models with irregular singular points. The book, which has more than 300 illustrations, is generous with realistic example problems.

Table of Contents

Frontmatter -- 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