Maths textbook recommendations

>>8276712
http://4chan-science.wikia.com/wiki/Mathematics
http://4chan-science.wikia.com/wiki/Math_Textbook_Recommendations#High_School

>A-levels
>hard
lol Americans...

>>8276712
>A-level maths

The fuck does that even mean?

>>8276733
It is a british thing. Some compulsory exam for high school students that just switches on or off the boolean variable in your life says 'Can you study at Oxbridge'.

Basically 'A level mathematician' means fucking high school kid who knows Calculus II.

>>8276740
So a typical AP/IB student?

>>8276744
I am not really sure what AP math entails.

I just know that for the A levels we had to do integrals, derivatives, a lot of shit with polynomials, arithmethic series, geometric series, infinite series, a lot of tricky geometry problems.

If AP math covers that then yes.

>>8276746
>>8276744
When I said series I meant sequences.

>>8276746
Ap offers what they call calculus AB (calc 1) and BC (calc 2), which covers up to but not including vector calculus

>>8276712
High school has taught you wrong. You seem to think that mathematics follows a linear path.

In the real world there are a billion million branches of mathematics, most are barely related to each other, and if you want to learn those topics decently then you need to read a book that touches that specific topic.

There is no 'Math for after high school' book.

>>8276758
I'm trying to get a recommendation of a start point that can cater to the level of mathematics I'm currently studying

>>8276725
Does anyone ever update the wiki? Or is there a way for potentially a smarter person that found a better book to post his opinions alongside?

Or was the wiki wrote by one guy once who thought he got it right and never again will be revised.

Assuming you've done cie A levels, you should do further mathematics, its a continuation of the A levels.

>>8276712
>Any books or website recommendations
Sure.

Chicago undergraduate mathematics bibliography:
https://www.ocf.berkeley.edu/~abhishek/chicmath.htm

How to become a pure mathematician:
http://hbpms.blogspot.com/

A bunch of random course and lecture materials from Oxford's mathematics program:
https://www0.maths.ox.ac.uk/courses/material/

>>8276712
Can anyone recommend a book on advanced proof techniques?

I want a proof book that is tailored toward upper level undergraduates or grad students, but I can only find babby's first analysis books.

>>8277082
>advanced proof techniques

Not completely sure what you're looking for.

If you want a second/challenge book on proofs with more variety then check out "Conjecture and Proof" by Laczkovich
If you want a fast paced proof book after having done a discrete math course in the past then work through "A Primer of Abstract Mathematics" by Ash
If you're looking for the next step in improving your proof skills then you really should move on to learning abstract math like "Elements of Set Theory" by Enderton.

If you're struggling with reading graduate level math, the difficulty isn't the lack of "advanced proof techniques" but the lack mathematical maturity. Go study lower hanging branches of mathematics until you improve some more.