Calculus Quote by Keith Devlin
“The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers.”
About This Quote
Source Lecture: “Complex Numbers and Calculus” by Keith Devlin, 2015
When calculus is extended to complex numbers, its structure and visual representation change dramatically.
In simple terms: Complex calculus looks very different.
Key Takeaway
Study complex analysis.
Themes
mathematics
education
complex numbers
Mood
analytical
academic
Type
educational
technical
When to use this quote
- university class
- self‑study
- research
- teaching
Key Concepts
calculus
analytic continuation
visualization
Questions to Reflect On
- How does complex analysis simplify real problems?
- What visual tools aid understanding?
A Different Perspective
Requires strong abstract reasoning.
![“I saw the first one [video with Hans Rosling ] when he did - I think it was his first one - in 2006, a TED Talk. And for the first time in my life, I thought here's someone who can take statistics that most people regard as dull and boring and bring it alive.” quote by Keith Devlin](https://sms4smile.com/quotes/img-quotes/f8c/keith-devlin-19829_alive_i-saw-the-first-one-video-with-hans-rosl_101875.jpg)
![“Hans Rosling typically would go into the room, and he would ask the audience questions. Often they had to answer them with clickers or raising their hands or something. We get [data] wrong because 50 years ago that wasn't the case and because we haven't had these graphics we don't realize that…” quote by Keith Devlin](https://sms4smile.com/quotes/img-quotes/740/keith-devlin-19829_answers_hans-rosling-typically-would-go-into-the_518165.jpg)
![“Some of the justifiable critiques has been by - been so successful in telling this story, you know, there's a danger of saying, oh, well, you know, we don't need to worry about this because that's absolutely not the case. What [Hans] Rosling is doing is showing us an overall global trend, which in…” quote by Keith Devlin](https://sms4smile.com/quotes/img-quotes/3dd/keith-devlin-19829_bad-thing_some-of-the-justifiable-critiques-has-be_763450.jpg)
![“In fact, we tend to think things have been getting much worse. In fact, over the last 50 years, almost everything in the world on a global scale has got better. And the way that Hans [ Rosling] did this - it was very good.” quote by Keith Devlin](https://sms4smile.com/quotes/img-quotes/473/keith-devlin-19829_facts_in-fact-we-tend-to-think-things-have-bee_1076728.jpg)
![“In fact, when you try to use [Hans Rosling] data to predict the future, all sorts of problems arise. But what it does do is say, hey, just catch your breath a minute and see what's really been going on. We do have reason to feel good about the fact we've made progress.” quote by Keith Devlin](https://sms4smile.com/quotes/img-quotes/1a8/keith-devlin-19829_arise_in-fact-when-you-try-to-use-hans-rosling_1084549.jpg)
![“Tell them you came, and saw, and looked into my eyes and saw the shadow of the guard receding. Thoughts in time and out of season, the hitchinker stood by the side of the road and levelled his thumb in the calm calculus of reason. [...] Why does my mind circle around you? Why do planets wonder…” quote by Jim Morrison](https://sms4smile.com/quotes/img-quotes/9ae/jim-morrison-1692_bird_tell-them-you-came-and-saw-and-looked-in_18280.jpg)
