Complex Variables Class Notes
Complex Variables and Applications, 8th Edition, J. W. Brown and R. V. Churchill.
Brown and Churchill book cover 8th edition

Copies of the classnotes are on the internet in PDF format as given below. The "Proofs of Theorems" files were prepared in Beamer and they contain proofs of results. The "Printout of Proofs" are printable PDF files of the Beamer slides without the pauses. These notes and supplements have not been classroom tested (and so may have some typographical errors).

The catalog description for the class Complex Variables (MATH 4337/5337) is: "Complex numbers and their algebra, complex differentiation and integration, analytic and elementary functions, residues and power series."

  1. Chapter 1. Complex Numbers.
  2. Chapter 2. Analytic Functions.
  3. Chapter 3. Elementary Functions.
  4. Chapter 4. Integrals.
  5. Chapter 5. Series.
  6. Chapter 6. Residues and Poles.

Chapter 1. Complex Numbers.

Chapter 2. Analytic Functions.

Chapter 3. Elementary Functions.

Chapter 4. Integrals.

Chapter 5. Series.

Chapter 6. Residues and Poles.

Additional Chapters. A complete list of the sections in these chapters is also available.

Return to Bob Gardner's home page