/sci/ - Science & Math » Thread #11613012

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Calculus books

Anonymous Tue 28 Apr 17:48:24 2020 No.11613012 View Reply Original Report

Quoted By: >>11613075 >>11613085 >>11613217 >>11614310 >>11617786 >>11618903

Recommend good calculus books, /sci/.

Anonymous

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Anonymous Tue 28 Apr 2020 18:06:27 No.11613075 Report

Quoted By:

>>11613012
Got to go back to the source

Anonymous

Anonymous Tue 28 Apr 2020 18:08:08 No.11613085 Report

Quoted By:

>>11613012
not that one

Anonymous

Anonymous Tue 28 Apr 2020 18:45:21 No.11613217 Report

Quoted By: >>11615463

>>11613012
Morris Kline

Anonymous

Anonymous Tue 28 Apr 2020 22:52:48 No.11614152 Report

Quoted By: >>11617526

Apostol, Spivak if you want it to be harder.
T. engi tried apostol for calc1 didnt really need it but liked the integration problems, prof said spivak would be the same but in like a third of the pages iirc

Anonymous

Anonymous Tue 28 Apr 2020 22:57:58 No.11614164 Report

Quoted By: >>11617526

Spivak is the definitive calculus book. Apostol and Courant are also okay. The Calculus Lifesaver is good too if you're concerned on the more computational aspects of calculus.

Anonymous

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Anonymous Tue 28 Apr 2020 23:35:57 No.11614302 Report

Quoted By: >>11614317 >>11617671

what does /sci/ think of this book?

Anonymous

Anonymous Tue 28 Apr 2020 23:38:22 No.11614310 Report

Quoted By: >>11617526

>>11613012
Apostol, Moise, Courant or Spivak
Pick your poison. Courant and Apostol also have multivariate calculus in their Vol 2.

Anonymous

Anonymous Tue 28 Apr 2020 23:39:55 No.11614317 Report

Quoted By: >>11614330 >>11614331 >>11617043

>>11614302
Calculus is not made to be applied to areas outside of math.

Anonymous

Anonymous Tue 28 Apr 2020 23:43:19 No.11614330 Report

Quoted By:

>>11614317
Based and purepilled

Anonymous

Anonymous Tue 28 Apr 2020 23:43:29 No.11614331 Report

Quoted By: >>11614378

>>11614317
What areas of potential application do you think are "outside of math" exactly?

Anonymous

Anonymous Tue 28 Apr 2020 23:47:00 No.11614349 Report

Quoted By:

Burkill, a first course in mathematical analysis

Anonymous

Anonymous Tue 28 Apr 2020 23:54:13 No.11614378 Report

Quoted By: >>11614531 >>11615474

>>11614331
Calculus wasn't discovered to calculate particle trajectories or population changes or whatever chemists use it for, it's a tool to understand algebraic structures.

Anonymous

Anonymous Wed 29 Apr 2020 00:41:18 No.11614531 Report

Quoted By: >>11615473

>>11614378
I don't disagree with you, but the burden of proof is on you to prove that applications have no bearing on learning the subject matter, which is what you're implying.

Anonymous

Anonymous Wed 29 Apr 2020 06:02:32 No.11615463 Report

Quoted By:

>>11613217
An amazing book
Taught myself calculus using it in the 10th grade
Easy language and as the name implies - intuitive

Anonymous

Anonymous Wed 29 Apr 2020 06:05:50 No.11615473 Report

Quoted By: >>11617483

>>11614531
>the burden of proof
>>>/x/

Anonymous

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Anonymous Wed 29 Apr 2020 06:05:59 No.11615474 Report

Quoted By: >>11615599 >>11616636

>>11614378
>Calculus wasn't discovered to calculate particle trajectories or population changes
That’s exactly what it was discovered for.

Anonymous

Anonymous Wed 29 Apr 2020 07:07:44 No.11615599 Report

Quoted By:

>>11615474
My boy Leibniz discovered it tho

Anonymous

Anonymous Wed 29 Apr 2020 15:25:09 No.11616636 Report

Quoted By:

>>11615474
He just put together the works of Fermat, Descartes, Pascal, Cavalieri, Kepler and Barrow. The first two had already the theory of tangents using proto-derivatives, the next 3 had a theory of areas using what basically amounts to integrals and the last one discovered the relationship between areas and tangents (aka the fundamental theorem of calculus)

Anonymous

Anonymous Wed 29 Apr 2020 17:21:19 No.11617043 Report

Quoted By:

>>11614317
>implying areas outside of math exists

Anonymous

Anonymous Wed 29 Apr 2020 18:19:56 No.11617276 Report

Quoted By:

Spivak and this one by some obscure hungarian or armanian guy are the best ones. The one by the hungarian/armanian is a lot harder

Anonymous

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Anonymous Wed 29 Apr 2020 19:12:27 No.11617483 Report

Quoted By: >>11618366

>>11615473
> Implies something dumb
> gets btfo'd by everyone
> doesn't accept his intellectual responsibilities
> tells me to go to /x/

Anonymous

Anonymous Wed 29 Apr 2020 19:29:05 No.11617526 Report

Quoted By: >>11617665

>>11614152
>>11614164
>>11614310
I've bought Apostol ,volume 1
can't find vol2 in my local bookstore, what should i get for multivariable calculus?

Anonymous

Anonymous Wed 29 Apr 2020 20:13:19 No.11617665 Report

Quoted By:

>>11617526
Idk, I used a mix of Courant, Hubbard&Hubbard and a Brazilian book that is the standard at my uni and doesn't have an English translation (Guidorrizzi, if you happen to speak Portuguese).
Buck is a popular recommendation (in the same vein of book as Apostol and the others), but I can't say I ever looked at it.

Anonymous

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Anonymous Wed 29 Apr 2020 20:15:09 No.11617671 Report

Quoted By: >>11617801

>>11614302
I do like Lax's Multivariable Calc and Functional Analysis books, so it would surprise me if it were bad.
But I haven't read it, so I don't really know anything.

Anonymous

Anonymous Wed 29 Apr 2020 20:48:14 No.11617786 Report

Quoted By:

>>11613012
The best calculus book is the one you go through and do the exercises.

Anonymous

Anonymous Wed 29 Apr 2020 20:53:12 No.11617801 Report

Quoted By:

>>11617671
I had to use Lax's Multi book for a class before it was published and it was pretty bad then. Good problems though.

Anonymous

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Anonymous Wed 29 Apr 2020 23:30:37 No.11618300 Report

Quoted By:

Anonymous

Anonymous Wed 29 Apr 2020 23:46:17 No.11618366 Report

Quoted By:

>>11617483
Firstly, the anon who told you to go to /x/ wasn't me. Secondly, using mathematics not for its intended purpose spreads the false idea that mathematics cares about any field but itself, it's how you get sham ideas like QM and the monty hall problem. Next thing you know mathematics itself is being influenced by flawed fields like physics.

Anonymous

Anonymous Thu 30 Apr 2020 02:05:03 No.11618779 Report

Quoted By:

https://www.math.wisc.edu/~keisler/calc.html
/thread

Anonymous

Anonymous Thu 30 Apr 2020 03:00:51 No.11618903 Report

Quoted By:

>>11613012
OP someone here shared this with me earlier this year, so I share it with you. Use it in good health. Strang has an entertaining way about him. Also good is his Linear Algebra book.

http://ocw.mit.edu/ans7870/resources/Strang/Edited/Calculus/Calculus.pdf

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