Irena Swanson

Irena Swanson's Home Page

Irena Swanson
Professor and Department Head
Department of Mathematics
Purdue University
150 N. University Street
West Lafayette, Indiana 47907-2067
Office phone: 765 494 1908
Office location: Math 830

  • Education:
  • My research is in commutative algebra
  • Mathematics service:
  • More links

    NEW Introduction to Analysis with Complex Numbers, 456 pages, published by World Scientific Publishing, 2021. This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series. The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head. The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.

    Created: 2 July 2020