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Thanks for your amazing effort!
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The Calculus pick is completely fungible. There are at least two other popular Calc books that different people would say the exact same things about. Euclid as the ideal place to learn logic seems debatable, although I can't think of a better resource off the top of my head. The Xinu OS and LISP recommendations I've never seen before, so those were potentially valuable for me at least.
What calc books are those? Reading a calculus book is a massive investment because I will be rereading pages. So I’d like to find the best one first
Earlier quoted context omitted.
The Calculus pick is completely fungible. There are at least two other popular Calc books that different people would say the exact same things about. Euclid as the ideal place to learn logic seems debatable, although I can't think of a better resource off the top of my head. The Xinu OS and LISP recommendations I've never seen before, so those were potentially valuable for me at least.
What calc books are those? Reading a calculus book is a massive investment because I will be rereading pages. So I’d like to find the best one first
Just wanted to thank the author for his project of translating the Lessons In Electronic Circuits in romanian. It was so useful to me when I was a student at UT Cluj. I remember recommending that website to all my peers. Thanks for your amazing effort!
You're welcome! Thanks for your input!
Earlier quoted context omitted.
What calc books are those? Reading a calculus book is a massive investment because I will be rereading pages. So I’d like to find the best one first
Depends enormously on your level and willingness and dedication. At that level the best ones are Spivak, Apostol, Fichtenholtz, Kudryavtsev.
Good books but still quite standard. Spivak’s is standard on initial calculus courses at universities. If you really wanted non-standard but relevant authors I would add Feyerabend, Kuhn, Kahneman, Dostoyevsky, Borges, Taleb, Montaigne, Popper, Hofstadter, Don Norman, Alexandrescu. Add something about systems of representation by Kierkegaard or Nietzche or some interpretations by later authors.
The book I would most recommend software developers read is Mindstorms: Children, Computers and Powerful Ideas by Seymour Papert.
It's a lot shorter. And probably more valuable.
And one random side recommendation: The Daughter Of Time by Josephine Tey. It's a narrative exploration of how to challenge consensus belief, explore gut instincts and follow research leads, expressed as a perception-challenging historical review of Richard III by a fictional detective.
The BBC audio book is worth a go. My copy of this book (which was my mum's copy) is one of the few things I'd rescue from the hypothetical fire. It stays with you.
- Using Euclid is manifestly a really bad idea, since his way of formalizing geometry is not the sharpest. Mathematical logic has developed since Euclid published his book thousands of years ago and Euclidean geometry has been re-formalized a number of times to really flesh out the theory behind it (where the word theory is a precisely defined mathematical word), the most well known being oerhaps the one by Hilbert (still 100 years old).
- Motivating Spivak with "the most important thing to learn is the method. That is, to develop a method for thinking, based on demonstration following a fixed and known set of starting-points or axioms ...". This can be actually said of any mathematical theory (here I use the word 'theory' in its colloquial meaning). Studying calculus in particular makes little sens for compsci. Rather, graph theory or abstract algebra might be more worthwhile to learn - basically any subject that touches theoretical computer science significantly.
I can't comment on the compsci books (they do seem interesting), but I can comment on the mathematical ones where I have expertise: - Using Euclid is manifestly a really bad idea, since his way of formalizing geometry is not the sharpest. Mathematical logic has developed since Euclid published his book thousands of years ago and Euclidean geometry has been re-formalized a number of times to really flesh out the theor…
I can't comment on the compsci books (they do seem interesting), but I can comment on the mathematical ones where I have expertise: - Using Euclid is manifestly a really bad idea, since his way of formalizing geometry is not the sharpest. Mathematical logic has developed since Euclid published his book thousands of years ago and Euclidean geometry has been re-formalized a number of times to really flesh out the theor…
Holy crap, the Comer XINU book is still around. I used that in my undergrad Systems course in the mid ‘80s…