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Lecture Notes for Complex Variables

Lecture Notes for Complex VariablesJames S. CookLiberty UniversityDepartment of Mathematics and PhysicsSpring 20102introduction and motivations for these notesA Complex variable is simply a variable whose possible values are allowed to reside in the complexnumbers. We re using the classic text by Churchill and Brown: Complex Variables and applications by Churchill and Brown, 6-th text has been a staple of several generations of mathematicians at this time. I ll try to followthe text somewhat closely. I plan to ask you to prove certain pivotal Lemmas as we develop thematerial together this semester. In previous courses you may have heard me advocate a certainpoint of view about Complex numbers but I would ask you forget all that for a time. Our goal hereis to start from scratch and build Complex numbers from the ground up.

A complex variable is simply a variable whose possible values are allowed to reside in the complex numbers. We’re using the classic text by Churchill and Brown: "Complex Variables and Applications" by Churchill and Brown, 6-th Ed. This text has been a staple of several generations of mathematicians at this time. I’ll try to follow

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