Applications of Complex Variables: Asymptotics and Integral Transforms

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 analysis. 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.

Foluso Ladeinde earned several degrees from Cornell University, including the Ph.D. from The Sibley School of Mechanical and Aerospace Engineering. He is a tenured faculty member in the Department of Mechanical Engineering at Stony Brook University, where he teaches courses in aerospace propulsion, numerical methods, applied mathematics, and theoretical fluid dynamics. He is the founding Chairman and was the Department Head (2015–2019) of the ABET-accredited Department of Mechanical Engineering, State University of New York, Incheon, South Korea. He was a Summer Faculty Fellow for ten years at the United States Air Force at Wright-Patterson AFB, Dayton, Ohio. Dr. Ladeinde’s research uses advanced computational science and applied mathematics to investigate theoretical fluid dynamics, fluid flow turbulence theory, two-phase flows and heat transfer, supersonic combustion, and, more recently, atmospheric cloud microphysics. His work has been funded by the United States National Science Foundation (NSF), the United States Air Force (USAF), the United States Navy (USN), the Air Force Office of Scientific Research (AFOSR), the Defense Advanced Research Projects Agency (DARPA), the National Aeronautics and Space Administration (NASA), and commercial industry, including The Boeing Aerospace Corporation. He was two-term Chairman of the External Review Board of the NASA Center for Aerospace Research at North Carolina A&T University, Greensboro, North Carolina.

Dr. Ladeinde has served as an Associate Editor (2009–2013) of the AIAA Journal, the flagship journal of the American Institute of Aeronautics and Astronautics (AIAA), an Associate Editor (2015–Present) of The ASCE Journal of Aerospace Engineering, and a Guest Editor of the Physics of Fluids (2020–2021). He is an Associate Fellow of AIAA, a Fellow of the American Society of Mechanical Engineers (ASME), a Life Member of the American Physical Society (APS), and a member of the Society for Industrial and Applied Mathematics (SIAM) and The Combustion Institute. He has published over 250 papers in archival journals and peer-reviewed conference proceedings. Dr. Ladeinde has also won Best Paper and Best Reviewer awards.