🗑️ 🧵 Untitled Thread
Anonymous at Wed, 12 Feb 2025 11:00:06 UTC No. 16583527
I'd like to preface this post by apologising in advanced for asking a question that has probably been asked a thousand times already, but I don't know where else to ask. I don't use r*ddit, or d*scord, and none of my friends are into mathematics.
My situation:
Intermediate Algebra (Blitzer) - done all odds, and all end of chapter tests
College Algebra (Blitzer) - done all odds, and all end of chapter tests
Precalculus (Blitzer) - done all odds for trig only
Book of Proof (Hammack) - 1/3rd through, doing all odds
How to prove it (Hammack) - 1/5th through, doing all questions (found solutions manual online)
My goal:
Precalculus (done) -> Proofs (work in progress) & Calc (I am here!) -> Analysis -> Linear Algebra -> Abstract Algebra -> Number Theory
I need a calculus book that fits these criteria:
- Good for self-teaching, so must have many examples, questions, and answers to at least all the odds, or a solutions manual.
- Some rigour, but not too much as I'm not fully confident with proofs. I do have a little bit of experience with proof by induction.
- No physics, no engineering. I don't care about applied mathematics.
Thank you.
Anonymous at Wed, 12 Feb 2025 11:01:06 UTC No. 16583528
>>16583527
>How to prove it (Hammack) - 1/5th through, doing all questions (found solutions manual online)
Shit, I meant Velleman
Anonymous at Wed, 12 Feb 2025 16:42:06 UTC No. 16583769
books are definitely important
but why don't you just "read around"?
that's what i do
Anonymous at Wed, 12 Feb 2025 21:24:01 UTC No. 16584002
>>16583769
I need something structured. I did watch Prof Leonard's College Algebra lectures, so I'm not averse to different sources of learning but I need structure. Unless by reading around you mean read different books in tandem? I've been doing some research and I think I might use Calculus: A Rigorous First Course by Velleman along with Schaum's Outline or McMullen's Calculus workbook for more problems to get the calculation side down. Do you think this is a good idea?
Anonymous at Wed, 12 Feb 2025 22:09:38 UTC No. 16584026
>>16583527
lol
Anonymous at Wed, 12 Feb 2025 22:10:39 UTC No. 16584029
>>16584026
I posted a fake data snippet and Chan deleted the post of epidemiology studies
Anonymous at Wed, 12 Feb 2025 22:20:21 UTC No. 16584039
>>16584002
>read different books in tandem?
If one initially doesn't understand something in a textbook, then one can read the same thing in another textbook.
Plus "sleeping on it" is important.
>Do you think this is a good idea?
I don't know.
You're better off without my advice.
Anonymous at Thu, 13 Feb 2025 05:51:58 UTC No. 16584362
>>16583527
Do linear algebra before analysis, if you want my 2 cents
Anonymous at Thu, 13 Feb 2025 10:16:00 UTC No. 16584532
>>16584362
OK, tweaked it according to this: https://www.susanrigetti.com/math
Precalculus -> Calc -> Proofs -> Linear Algebra -> Abstract Algebra -> Analysis -> Number Theory
Anonymous at Sat, 15 Feb 2025 14:59:17 UTC No. 16586717
>>16583527
>I need a calculus book that fits these criteria [...]
You can't go wrong with older textbooks like Apostol's and Spivak's
Anonymous at Sun, 16 Feb 2025 15:14:36 UTC No. 16587962
>>16586717
I think Apostol is just what I'm looking for. Thanks.
Anonymous at Sun, 16 Feb 2025 21:24:39 UTC No. 16588461
CalcPrecalcAlgebraAlgebra 2Algebra 3Algebraic reasoningAlgebraic reasoning 2