The discussion focuses on recommendations for books dedicated to learning various techniques for solving integrals. Participants express interest in exploring different methods and resources available for mastering integration.
Participants express varying opinions on the necessity of prior knowledge in complex analysis for certain recommended books, indicating a lack of consensus on this point.
Some participants reference their own educational backgrounds and experiences with complex analysis, which may influence their perspectives on the assumed knowledge required for the suggested texts.
Dragon27 said:You might like this one:
https://www.amazon.com/dp/1493912763/?tag=pfamazon01-20
just look at the title!
"Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions)"
Here's an excerpt from the Preface:Buffu said:Does it assumes me to know complex analysis ?
For a modern undergraduate math major not to have ever had a course in complex analysis seems to me to be shocking. As an electrical engineering major, 50 years ago, I took complex analysis up through contour integration (from Stanford’s math department) at the start of my junior year using R.V. Churchill’s famous book Complex Variables and Applications. (I still have my beat-up, coffee-stained copy.) I think contour integration is just too beautiful and powerful to be left out of this book but, recognizing that my assumed reader may not have prior knowledge of complex analysis, all the integrals done in this book by contour integration are gathered together in their own chapter at the end of the book. Further, in that chapter I’ve included a ‘crash mini-course’ in the theoretical complex analysis required to understand the technique (assuming only that the reader has already encountered complex numbers and their manipulation).