In this day of practically infinite knowledge, we need orientation to find our way. Let me tell you what infinite knowledge is. Since from the time of Newton to now, we have come close to doubling knowledge every 17 years, more or less. And we cope with that, essentially, by specialization. In the next 340 years at that rate, there will be 20 doublings, i.e. a million, and there will be a million fields of specialty for every one field now. It isn’t going to happen. The present growth of knowledge will choke itself off until we get different tools. I believe that books which try to digest, coordinate, get rid of the duplication, get rid of the less fruitful methods and present the underlying ideas clearly of what we know now, will be the things the future generations will value.
I was discussing mortgage calculations with a friend today and realized this calculation would make an excellent interview question.
The problem is simple enough, but still requires some thought…
If extra time, the candidate can be asked to write a
solve function to solve for the payment P given the other values, e.g., solve for P in
Zr(25*12,315000, 0.005,P) = 0.
I’m happy to announce the No bullshit guide to linear algebra (student edition) is ready: gum.co/noBSLA. The core chapters—the stuff that shows up on exams are done. If you have a linear exam coming up, we’ve got what you need.
For the price of a case of beer, you could have an understanding of linear algebra.
Now if you’re a cheapo like me, you’ll say “why the hell do I need to give you money, when there are free books out there?” I understand you. Perhaps you’d like this free tutorial: LA. See also MECH. By reading these short tutorials, I hope to convince you that synthesis of information (i.e. the order of the concepts and choosing an appropriate level of detail) is possible and desirable. Synthesis helps with understanding. If a subject can be summarized in just a few pages, then a full textbook on the subject shouldn’t be bigger than a couple hundred pages, including prerequisites. I call this “information distillation.”
The 1000pp+ textbooks are a scam. Don’t be duped. Get the No bullshit guide to linear algebra. It’s 1/10th the price, 1/2 the size, and 3 times better than a mainstream textbook. In the news: [HN1], [HN2]. The price is 50% OFF until April 1st.
BTW, this is the second book in the “No bullshit” series. The No bullshit guide to math and physics is the first. It covers high school math, mechanics, differential calculus, and integral calculus in 383 pages. You should definitely check it if you’re taking one of these classes.
I got side-tracked writing a comment, and then suddenly this is what I see when I check the analytics:
I just received a letter from IEEE transactions on info theory with reviewers comments on one of our papers. Tonight though, what is left of it, is dedicated to work on the Mathematics Fundamentals chapter. You have to do what you have to do. I have downloaded all attachments but they can wait until tomorrow PM. Discipline.