Monday, 08.05.2023
Collection of papers, articles, books, videos etc. that I’ve spotted that seem interesting.
Currently, I'm taking courses in Abstract Linear Algebra and Real Analysis. Besides the regular lectures and textbooks offered by the department I was looking for further study material that could elaborate on the course material.
A Radical Approach to Real Analysis
These books abruptly departure from the rigid conventional format of definition, theorem, proof, example. Instead, we focus on the mistakes that have been made by mathematicians refuting the myth that mathematical discovery is straightforward (hint: It isn't). We lay out the historical context that motivate the concepts, why they are useful and how they restructured mathematics.
- My Mathematical Journey: Real Analysis — MATH VALUES
- The Derivative is not the Slope of the Tangent Line
This week, the weather has also been unusually humid...
Best fan placement to move air through the housePhysics experiment. Experiments and anemometer measurements to figure out where to best place a fan to optimally air out the house to cool it down at night.
Programming and Programming Languages (PAPL)
There is a tide in the affairs of men, which taken at the flood, leads on to fortune. Omitted, all the voyage of their life is bound in shallows and in miseries. On such a full sea are we now afloat. And we must take the current when it serves, or lose our ventures. ~ Shakespeare, Julius Caesar
Fail to live this way, and you’ll pay a high cost. The opportunity cost of your life. Carpe Diem!
Is mathematics a deductive science?
Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
~ Paul Halmos
Introduction to "Thinking At the Edge"
"THINKING AT THE EDGE" (in German: "WO NOCH WORTE FEHLEN") is a systematic way to articulate in new terms something which needs to be said but is at first only a "bodily sense" that is not fully formed.
How it is possible that something new and valuable can be implicit in a felt sense?