Mathematics for Natural Scientists II pp 125-247 | Cite as

# Complex Numbers and Functions

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## Abstract

We introduced complex numbers in Sect. 1.8 of the first volume. There we just defined the numbers themselves, but did not go any further. In fact, since the introduction of complex numbers a number of centuries ago, the theory based on them has been substantially developed into an extended analysis of complex functions defined on the complex plane. The mathematical tool thus created represents an extremely powerful device for solving practical problems ranging from calculating real integrals to solving partial differential equations.

## Keywords

Complex Plane Sine Function Laurent Series Connected Region Horizontal Part
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Copyright information

© Springer International Publishing Switzerland 2016