Unless I made a sign error I think the best you can do is
$$
\int \frac{d^3\phi}{dx^3} \psi dx + \int \dfrac{d^3\psi}{dx^3} \phi dx = \psi \dfrac{d^2 \phi}{ dx^2} - \dfrac{d\psi}{dx} \dfrac{d \phi}{ dx} + \dfrac{d^2\psi}{dx^2} \phi
$$
##C_2H_5OH+H_2O--->C_2H_6O+H_2O## is wrong.
Ethanol does (partially)dissociate into hydroxyl group and alkyl group, just that this dissociation does not happen in plain water. In nucleophilic substitution reactions (ethanol mainly undergoes SN2) -OH of ethanol is partially dissociated from...
From the aforementioned book :
The prerequisites for this presentations are (1) familiarity with Hilbert-space formalism of quantum mechanics (2) assimilation of basic principles of special relativity (3) a goodly measure of mathematical maturity
That's what I mean when I said arithmetic(+,-,*,/) is for Stephen Wolfram.
But elementary school students don't learn from 500 page undergrad logic book.
I am still confused, what does OP wants to learn ? Logic or arithmetic (+,*,/,-) which I guess he already knows.
I won't call that arithmetic. That looks like Mathematical logic.
If you already know arithmetic(+,-,/,*) then what else are going to learn in it, you already know everything.
Arithmetic (+,-,/,*) is of very little use in maths. If you want to learn maths then you should learn...
All the books I mentioned are available on Amazon (want link ?); they all are pretty standard textbooks. Book by Hardy is freely available at Internet archive (well, you can find others also but I am not sure if its legal or not; Internet archive is not super clean).
If you read Apostol from...
Spivak.
Apostol part 2 (assuming you know stuff in part 1),
A Course of Pure Mathematics - G.H Hardy,
Baby Rudin,
Real analysis part 1,2 - Terence Tao (I have never read these books but they are written by Terence Tao).
There is also Analysis on Manifolds by James Munkres but that's too hard...
Yes it popular book but it is also hated by many. Take a look at this old PF thread, https://www.physicsforums.com/threads/atkins-physical-chemistry-book.314538/. For me, the worst part of the book is its problem selection, confusing didactics when dealing with Maths and lack of theoretical...
Try problem book by Irodov, David Morin and Krotov. You can find Irodov and Krotov on Internet archive. I also like problems in Kleppner and Kolenkow's book.