Complex Variables for Engineers with Mathematica

Complex variable theory is attractive for engineers, but there is a gap between books written by mathematicians and engineers. This book closes the gap by providing a smooth transition from basic theory to application and demonstrating how to use Mathematica to facilitate tedious algebra and visualize complex functions.

Format: Paperback / softback
Length: 172 pages
Publication date: 02 October 2023
Publisher: Springer International Publishing AG

Complex variable theory is a fascinating field for engineers, as it provides elegant solutions to various differential equations encountered in engineering disciplines such as heat transfer, solid mechanics, and fluid mechanics. However, there exists a significant gap between the books written by mathematicians and those written by engineers in their respective fields. Mathematicians tend to emphasize rigorousness and consistency, while engineers often jump directly to the specific topics, assuming that the readers have sufficient background knowledge of complex variables. This book aims to bridge this gap by providing a seamless transition from basic theory to practical applications. While it is impossible to cover all the topics in engineering exhaustively, the readers can gain a fundamental understanding of how and why complex variables are effective in solving engineering problems. Another motivation for writing this book is to demonstrate the use of a computer algebra system, Mathematica, to facilitate tedious algebra and visualize complex functions. Mathematica can expand, differentiate, and integrate complex-valued functions symbolically, making it a powerful tool for engineers. It can be used as a standalone symbolic calculator or as a programming tool using the Wolfram Language. If Mathematica is not available locally, Wolfram Cloud Basic can be used online as a free service to execute Mathematica statements.

Dimension: 240 x 168 (mm)
ISBN-13: 9783031130694
Edition number: 1st ed. 2022