Complex Variables and Laplace Transforms

  • Phil DykeEmail author
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


The material in this chapter is written on the assumption that you have some familiarity with complex variable theory (or complex analysis). That is we assume that defining \(f(z)\) where \(z=x+iy,\;\;i=\sqrt{-1}\), and where \(x\) and \(y\) are independent variables is not totally mysterious. In Laplace transforms, \(s\) can fruitfully be thought of as a complex variable. Indeed parts of this book (Sect.  6.2 for example) have already strayed into this territory.


Inverse Laplace Transform Complex Variable Theory Bromwich Contour Single Real Variable Semi-circular Contour 
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Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUK

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