Residue theorems and their applications : computing integrals once thought impossible to evaluate analytically

Author

Greg Rainwater, California State University, Monterey Bay

Date

2007

Document Type

Capstone Project

Degree Name

Bachelor of Science (B.S.)

Department

Mathematics and Statistics

Abstract

It is common to encounter an integral that seems impossible to evaluate. Residue theorems introduce techniques that may make the impossible, possible. In this capstone I introduce residue theorems and apply techniques to integrals of certain forms that cannot be computed using methods in calculus of real variables. Not only do the residue theorems make it possible to reach a closed solution, they can make evaluating integrals much easier than before.

Comments

Capstone Project (B.S.) Mathematics and Statistics Department

Recommended Citation

Rainwater, Greg, "Residue theorems and their applications : computing integrals once thought impossible to evaluate analytically" (2007). Capstone Projects and Master's Theses. 361.
https://digitalcommons.csumb.edu/caps_thes/361