wolfkill

Having lived in Argentina, I can confirm that this is indeed the case! There is also a version called terere in which cold fruit juice is substituted for hot water.

I'm not convinced that such an intrinsic truth exists apart from application.

Fair point!

I'm not convinced this does logically follow. There is a view point that God is the source of math only in the sense that God created humanity with the limited capacity for understanding the world around them and one way this capacity has manifested is through the development of Mathematics.

Why does math work so well? Well math is pretty great but I don't think it is magical. There have been thousands of years of slow mathematical advances to get us to where we are now.

I work in applied mathematics and specifically in CFD. This may make me not a "true mathematician" to some of the mathematical community. In fluid dynamics nearly everything is an approximate solution to an imperfect model. In fact, there are whole branches of mathematics dealing with trying to figure out exactly how imperfect models are. "Perfect math" has limited applicability, and only perfectly reflects reality in contrived situations. For example, linear algebra works amazingly well in the contrived environment of a computer, but if you want to perfectly model the electron flow that is involved in that computation one must necessarily use an imperfect approximation.

As a mathematician and a believer in God, I get uncomfortable when people start attributing math to God. I see math as being very much a construct of the human psyche and as astounding as it is, there are enormous gaps between mathematical models and physical observations. So in my mind math is to reality as human is to Divine.

I had a friend in high school who's father survived a skydiving accident "breaking every bone in his body." What made the biggest impression on me was that not only did he have to recover physically, but he had to deal with inability to work and medical bills leading to bankruptcy and a failed business. It may have been the first time in my life I thought about this kind of consequences.

I was wondering!

I'd agree, Raleigh area would be a great choice. It is growing with lower cost of living than other tech centers.

Research Triangle Park- between Raleigh, Durham, and Chapel Hill, North Carolina, https://en.wikipedia.org/wiki/Research_Triangle_Park

It is my opinion that

1) We continue to need new textbooks: Despite relative little change in core materials for subjects like Calculus, there is a need for adaptation of texts to include current applications and methods.

2) The best use of interactive media to complement and enhance learning is yet to be determined.

3) The worst crime of textbook companies is lack of innovation.

There is an interesting discussion on the origin of the word Easter in the comments.

I love audiobooks, and have discovered the wonderful wispersync feature to seamlessly pick up my kindle or audible audiobook, which ever is most convenient. I highly recommend the Aubrey/Maturin series read by Patrick Tull. Currently listening to The Magician's Land by Lev Grossman.

This book helped me to visualize Krylov space methods better than any other resource I have seen. It got me through my numerical analysis qualifying exam. I do agree that the last chapters are lacking in depth. I also recommend his book "Pseudo-spectral Methods in Matlab" for a thorough and very visual look at things like Gibb's phenomenon and spectral convergence.

My wife is from a small town in Mexico where there has been a recent surge in violence and kidnappings. Her family is there and we go visit once a year or so as we can. Last time I was there there was a couple of moments that made realize I was just waiting for something terrible to happen. I worry I (as the American) am painting a target on my wife's family. Every time they call unexpectedly I fear for the worst. Right now, I'm not sure if we will go this year.

Oh the dreaded "details left as an exercise." Personally, if I can't fill in details readily myself, I use Google or "just take there word for it" and hope it doesn't bite me later.

In the area of numerical analysis, I'd recommend works by LeVeque and Trefethen.

This post mostly describes me. I am a PhD student in applied mathematics and returned school to get my PhD precisely because I wanted to get a job outside of academics, most likely as a data scientist or scientific programmer. 2.5 years into my program I still struggle to see beyond the degree but am currently looking at non-academic internship opportunities as a way to start to untangle myself from academics. I also spend a significant amount of my time trying to teach my self good programming practices that I don't get from mathematics (how to write clean, adaptable code, choosing appropriate design patterns and writing generic code without over-abstracting, writing readable documentation and using version control, etc.) To those of you who have left academics do you have any other suggestions? How about for marketing myself as a programming mathematician when competing against CS and engineering students for internships/jobs?

This is fantastic! Besides listing text/topic recommendations, it has lots of pdf documents.

Last week I went to a couple of lectures by the author and also went to view the St. John's altarpiece at the NC Museum of Art. It is beautiful and fascinating. The exhibit is very well done and I highly recommend it to anyone in the area.