Pyret
Pyret on Hacker News
Well, there is no shortage of very good and VERY SIMPLE and rigorous intros to analysis books out today:
How to Think About Analysis by Lara Alcock.
Understanding Analysis by Stephen Abbot.
Mathematical Analysis and Proof by David Stirling.
Numbers and Functions: Steps into Analysis by Burn.
Analysis: With an Introduction to Proof by Steven Lay.
A First Course in Mathematical Analysis by David Brannan.
Note the OP chose typical why-books for math majors(Axler/Macdonald). Boas' is a how-book for physicists.
I own this book and I'll tell you it's not easy learning math from this book. Most of it is just very light overview. There are much better rigorous
textbooks that are simpler and more complete.
There are some great textbooks translated from Russian. Analysis by Kolmogorov, (rigorous) Linear Algebra by Shilov, Complex Analysis by Markushevich to name a few.
Two things.
1) No such thing as universal mathematician in this day and age.
2) Engineer's PDEs(algorithms) are not the same as mathematician's PDEs(theory). Same as comparing a student in China who learned English to communicate with English speakers to English majors from English speaking countries.
“I didn’t want there to be an easy way out,” she recently told me. “I wanted him to fight.”Attitude that keeps everything stagnant and backwards.
Colleges are great in that they offer nice infrastructure that's hard to find elsewhere: amazing libraries, laboratories, possibly, access to people doing research in the area you are interested in...Ultimately, though, everyone has to teach their own selves.
A degree also signifies you've given a certain subject a lot of thought.If by that you mean a Bachelor's Degree, than I don't agree with you. First four years of college is just a glorified day care for young adults.
She was born in the West, yet she had no free will to flip her husband off and go live elsewhere in her town/Germany? What an odd story.
I expect part of the problem is that people who are attracted by clear writing and thinking are turned off by the academic fields that suffer most from overly academic writing.In math formal language is easier to read than the informal one. Mathematicians write proofs in informal, paragraph style while newcomers are taught to read/write proofs in the most formal way because the latter is much more structured and clear.
Could it be because academic writing is simpler than the literary one? For example, in math, 'for all yada, there exists bla' is different from 'there exists bla for all yada'. So, you literally memorize these two cliches because they greatly simplify math. There are many other such very precise cliches in math you keep reusing over and over. Even though, it makes your life simpler, to an outsider you come off as an academic bore. That's my theory anyway.
Human biology is an extreme hurdle on our way to achieve the unachievable: having to sleep, eat, excrete etc. Are there any tech and drugs being developed to deal with these things? For now I'd be contempt to at least control my sexuality :D
Is it always intimidation, though? I find programming unimaginably boring.
This is the funniest thing I read in a long time. I find Dexter admirable.
Watch - in a near future there'll pop up an article explaining how you can't afford to study a little of this and a little of that. It will tell you need to focus on one thing only to be real good at it so that you can sell that one skill.
In the olden days there used to be 3 channels on TV max. That's how I see Hollywood. It has maybe 2 and a half concept it keeps selling whereas TV, let alone Internet, wouldn't be able to get away with it these days.
> On the biology side, I got ridiculed for all the 'hand waving' that seems to happen with the math. Biologists want to see concrete experiments and results.
How interesting. Usually, it's the math folk who ridicule everyone else for being sloppy with their reasoning. For example, physics = hand-wavery :D
What's Type Theory and how's it different from Set Theory and Category Theory?
That's what Brits call "being polite" :)
I personally don't care about the bird, I am just into coq.
I use Anki to remember and memorize the written info. Pretty effective.
I see. I was typing my code on the left half of the window and expecting the result show up on the right half. It works now. Thank you.
I'd like to learn from this book.
> If you ask Pyret for the value of this program, it will unsurprisingly tell you that it’s 3.
I am not sure how to do that. In [this tutorial](http://www.pyret.org/docs/latest/A_Tour_of_Pyret.html#%28par...) everything is a test. Is the program 3 supposed to be run as a test as well? Just running 3 in the editor does nothing. Where can I read up on Pyret syntax so i can follow this book?