Why Study Analysis As A Physics Student
I started learning differential geometry without a sound base on calculus. Here's what happened afterwards. I was solving a problem on vector calculus from Lovett's Differential Geometry of Curves and Surfaces . It involved solving a first order ODE but at first there was a square of the first derivative. All I had to do is take the square root of both sides and solve a very easy first order ODE. But, what I did was both funny and nonsense. I treated the square of the first derivative as a 2nd derivative and started solving a 2nd order ODE. To add more to the irony I sent the solution to a graduate student for feedback. Thus, the quote on the picture of the heading was born. And then he sent me a long reply on why should I study calculus with great rigor and details for a long time. I became agitated as I took it as an insult. I didn't think there was anything left for me to learn in "elementary" calculus and/or analysis. All the high sch...