>>7713166
Munkres

>>7713203
>Munkres

Cool, how about algebra?

>>7713203
Cool, what about modern algebra?

>>7713204
>>7713208
i learned modern algebra out of D&F, i know some people don't like it but if you put the time into it it's a decent text

>>7713166
Holy shit absurd amount of makeup.

>>7713166
>Point-set Topology

Counterexamples in Topology (Dover Books) by Steen and Seebach (Mandatory supplement)
Topology by Munkres
Introduction to Topological Manifolds by Lee
Elementary Topology (Dover) by Gemignani
General Topology (Dover) by Willard (A bit more difficult than the above)

>Algebraic Topology

Algebraic Topology by Hatcher
Differential Forms in Algebraic Topology by Bott and Tu
A Concise Course in Algebraic Topology by May (Advanced)

>Differential Topology

Topology from the Differential Viewpoint by Milnor
Differential Topology by Guillemin and Pollack
Differential Topology by Hirsch (More advanced)

>Abstract Algebra

Algebra by Artin
Topics in Algebra by Herstein
Basic Algebra I (Dover) by Jacobson (A bit harder)

>>7713241
>>Abstract Algebra
>Algebra by Artin
>Topics in Algebra by Herstein
>Basic Algebra I (Dover) by Jacobson (A bit harder)

working through these books in this order will make you preddy fuggin based at algebra. as good as a good grad student anyways.

D+F is a good book to have, it's very useful as an encyclopedia and place to look up basic results. Working straight through it can be tiresome though. Artin is less comprehensive as a starting point but much more pleasurable to read.

by the way OP if you just did linear algebra you should definitely just jump straight into combinatorics and roll with that until you need abstract algebra to understand what you're reading.

get Van Lint and Wilson and go to town, right now.

>>7713278
I'm taking modern algebra next quarter, but I suppose I can use my break to study combinatorics instead

I'm basically going to consume my quarter by drinking lots of coffee and prestudying topology and modern algebra, which I'm taking next quarter

>>7713241
>Topics in Algebra by Herstein
So I saw these on the MAA BL*** list, but I instead checked out Abstract Algebra by Herstein. Oops?

I also checked out Topology by Munkres

Thanks everyone so far for the suggestions

>>7713281
>I'm basically going to consume my quarter by drinking lots of coffee and prestudying topology and modern algebra, which I'm taking next quarter
I'm dumb as fuck

*my winter break

taytay so pretty i really wanna fuck her :3

>>7713281
>I'm taking modern algebra next quarter, but I suppose I can use my break to study combinatorics instead

I fully recommend this, but I am a combinatorialist.

>>7713293
me too m8

me too

>>7713241
Pretty much this but replace Hatcher with Rotman.

>>7713276
>much more pleasurable to read.
>reminded that he includes the word "manywhere" in Algebra.

Fraleigh is pretty enjoyable and has a solution manual.

>>7713788
This is our text next quarter

>>7713166
an alternative to DnF is Algebra: Chapter 0.

>>7713166
she's just a freak nazi barbie OP

>>7713166
you always post pics of this woman

>>7714754
Read Pinter then.

>>7713276
>as good as a good grad student anyways

No, those books are undergrad level. Something like Lang is graduate level.