This Complex Variables Book is Over 100 Years Old

TL;DR

This video provides a review of the book "Functions of a Complex Variable" by EJ Townsend, highlighting its intended audience and pros and cons.

Transcript

hi in this video I want to show you one of my books so I've had this book for a very very long time in fact this is one of the first math books I bought when I started you know collecting math books many years ago and it's a pretty good book and it's written really for a very specific audience and we'll talk about that in a minute so the book is ca... Read More

Key Insights

• 🥶 The "Functions of a Complex Variable" book by EJ Townsend is over 100 years old and is well-made with a solid binding.
• 🧑‍🎓 The book is intended for first-year graduate students and may not be suitable for beginners in complex variables.
• 🫠 While the book reads at a higher level, it has some gaps that readers need to fill in.

Questions & Answers

Q: Who is the author of the book "Functions of a Complex Variable"?

The book is authored by EJ Townsend, a PhD professor of mathematics at the University of Illinois.

Q: Is this book suitable for beginners in complex variables?

No, the book is intended for first-year graduate students in mathematics, so it may not be suitable for beginners. However, it can still be worth picking up for its unique reading style.

Q: Are there any cons associated with the book?

One potential downside is that the book has gaps that readers need to fill in due to its intended audience of graduate students. Additionally, the notation used in the book may be outdated since it was published over 100 years ago.

Q: What topics does the book cover?

The book covers various topics in complex variables, including real and complex numbers, fundamental definitions, differentiation, integration, mapping, infinite series, single and multi-valued functions.

Summary & Key Takeaways

• The video showcases the book "Functions of a Complex Variable," emphasizing its age (over 100 years old) and quality.

• The book is meant for graduate students as an introductory course in complex variables, with a smoother flow but some gaps that need to be filled in.

• The content covers topics such as real and complex numbers, fundamental definitions, differentiation, integration, mapping, infinite series, and single and multi-valued functions.