Gordon R. Complex Integration..Techniques for Evaluating Integrals and Sums 2023

Textbook in PDF format

As this is an informal book, there are no real prerequisites for understanding the material other than an enthusiasm for evaluating integrals and sums. In this respect, obviously the reader will have had to have at least two semesters of calculus to appreciate the nature of the problems being solved. That said, I feel that the scope of the book is best focused on examples of solutions of difficult calculus problems via complex integration. Accordingly, more than a passing familiarity with the concept of an analytic function, complex integration, and Laurent series at the level of an undergraduate Complex Analysis course (a la Churchill and Brown) would be the best preparation for the material in the book. Nevertheless, not having such familiarity with this material is hardly a barrier to the enthusiastic student