>1. The Prerequisites of University Mathematics Pre-Calculus - Carl Stitz & Jeff Zeager Calculus: A Modern Approach - Jeff Knisley & Kevin Shirley How to Prove It - D. J. Velleman
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Pick One Path:
>2a. Introduction to University Mathematics (Some Proofs) Linear Algebra and Its Applications - David C. Lay Calculus of Several Variables - Serge Lang Differential Equations - Shepley Ross
>2b. Introduction to Pure Mathematics (Proof-Based) Calculus Vol. I & II - T. M. Apostol Principles of Topology - Fred H. Croom Analysis I & II - Terence Tao
>2c. The "Efficient" Mixed Approach Linear Algebra and Its Applications - David C. Lay Calculus of Several Variables - Serge Lang Differential Equations - Shepley Ross Principles of Topology - Fred H. Croom Analysis I & II - Terence Tao
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Grayson Sullivan
Sorry, but the age limit on this board is 18. If you haven't learned these concepts by 18, you're too dumb to be on here.
Caleb Jenkins
Pro Tip #2: When you acquire knowledge and wisdom, and if you're not a complete cunt, pass it on to a new generation.
William Rodriguez
I don't gotta prove shit to you
Nolan Bell
Pro Tip #3: It is redundant to say that you won't prove something you can't prove anyway.
Jayden Wood
in mixed approach drop analysis for rigorous calculus (maybe apostol), drop topology. wow it suddenly is just the first one, how the hell is it "efficient" then?
in pure math drop calculus, add linear algebra from hoffman&kunze, the topology book feels out of place
Oliver Torres
explain proving
Hudson Morris
Explain your reasoning?
Mixed is meant to somewhat mirror the beginning of your average math degree curriculum, where you normally start with calculus and then make the transition sometime in your first or second year. It is also "mixed" so it can become versatile in tackling either the sciences or pure math. If you drop real analysis, you won't be ready to tackle other subjects in pure math. It's also efficient because you drop things like Apostol, since you don't need to cover Apostol once you've covered four semesters worth of calculus I-III and linear algebra.
The topology book is meant as a primer for real analysis, since this particular book only requires calculus and the ability to write proofs, a skill which gets further improved in preparation for Tao. I would add Hoffman & Kunze somewhere before or after Tao in the pure math track, but now that becomes extraneous. Real analysis is the gateway moreso than rigorous linear algebra.
Joseph Anderson
bump
Lucas Myers
Meme list has been improved.
-- -- -- -- -- -- -- --
0. Remedial Mathematics Khan Academy
-- -- -- --
>1. The Prerequisites of University Mathematics Pre-Calculus - Carl Stitz & Jeff Zeager Calculus: A Modern Approach - Jeff Knisley & Kevin Shirley How to Prove It - D. J. Velleman
-- -- -- --
Pick One Path:
>2a. Introduction to Applied Mathematics (Some Proofs) Linear Algebra and Its Applications - David C. Lay Calculus of Several Variables - Serge Lang Differential Equations - Shepley Ross
>2b. Introduction to Pure Mathematics (Proof-Based) Calculus Vol. I & II - T. M. Apostol Principles of Topology - Fred H. Croom A Book of Abstract Algebra - C. C. Pinter
>2c. The Mixed Approach Linear Algebra and Its Applications - David C. Lay Calculus of Several Variables - Serge Lang Differential Equations - Shepley Ross Principles of Topology - Fred H. Croom A Book of Abstract Algebra - C. C. Pinter
-- -- -- --
>3. Foundations for Advanced Pure Mathematics Linear Algebra - K. M. Hoffman & Ray Kunze Analysis I & II - Terence Tao Visual Complex Analysis - Tristan Needham Algebra - Michael Artin
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Do you like what you see, Veeky Forums?
Benjamin Ortiz
Spanish list
>1. The Prerequisites of University Mathematics Álgebra - Baldor matemática 1 - cou guzman
>2b. Introduction to Pure Mathematics (Proof-Based) Cálculo diferencial e integral - Noriega Cáculo vectorial - pita-ruiz álgebra lineal y geometria cartesiana burgos roman algebra 1 - gentile
Thomas Watson
>0. Prerequisites of Prerequisites Learn Spanish very well
Juan Davis
What a fuckin' meme list we've got here.
Brody Flores
let me elaborate then: your mixed isn't mixed, it's literally 2a + more stuff. in pure, you can't do analysis II properly without linear algebra. either add linear algebra or drop analysis II
Justin Wright
>let me elaborate then: your mixed isn't mixed, it's literally 2a + more stuff. It's a mix of 2a & 2b without overlapping with Apostol. >in pure, you can't do analysis II properly without linear algebra. either add linear algebra or drop analysis II Adjusted already after additional thought in
Alexander Stewart
This is fucking awful.
Replace Tao's garbage books with Rudin. Ditch Visual Complex Analysis and replace with Munkres' Topology. Never read Principles of Topology but it's probably trash. A Book of Abstract Algebra is baby-tier. Artin would probably be better. It's not that hard. Then put Dummit/Foote in 3.
Jason Barnes
>Never read Principles of Topology but it's probably trash. It has BLL >Replace Tao's garbage books with Rudin. Tao isn't garbage. >Ditch Visual Complex Analysis and replace with Munkres' Topology. Why not both? I was considering Munkres Topology but then I realized that you're probably better off with something that goes more into detail with algebraic topology after Principles of Topology. Plus it's just so fuckin' dry. >A Book of Abstract Algebra is baby-tier. Artin would probably be better. That's why I put it in 2b/2c.
You're advocating gutting topics that are a great transition into proofing and jumping right into Baby Rudin. Are you another one of those cynical sperglords that keep bashing my lists because I didn't start people with Rudin?
Benjamin Cook
2b should be based Spivak
Brayden Nguyen
2b could be any one of spivak, courant, or apostol
Jonathan Smith
the problem with going spivak is that you then still have to do apostol's 2nd vol. if you want the same style of rigor but for multivariable calculus, unless you want to pick up something beautiful like Hubbard/Hubbard's or James Callahan's tough multivariable calculus book
Lucas Richardson
>Rudin for self study >complex analysis and topology are interchangeable >I make opinions on thinks I don't know >I can't read fuck off
Henry Sanchez
based list for once I guess
Ethan Gutierrez
why do these meme lists always contain so many calculus books, you're wasting your time by learning calculus 5 times before going to analysis
Parker Wood
>not a single list covers calc 1-3 sequence more than once What did he mean by this?
Justin Thomas
I don't know what the fuck is "calculus 2" or whatever we don't have calculus sequels in europe
Christopher Watson
I don't see any lists covering single and multivariable calculus more than once each.
Adam Richardson
Europeans don't care about calculus at all. They start at topology.
Kayden Campbell
>tfw you can't prove OP wrong
James Barnes
Proof by contradiction: Assume this is the best list, than all other lists must be brainlet lists, i.e. lists for brainlets. Now consider that I am not a brainlet and that I have not read this list, but did sample the list in the sticky. Thus I have supposdly read a list for brainlets, this is a contradiction and the claim is false.
Michael Reyes
>but did sample the list in the sticky You mean the list that recommends brainlet textbooks for pre-calculus, only to recommend Apostol directly afterwards? B R A I N L E T
This list kicks its ass up until a certain point.
Daniel Torres
Non-meme list
Harjunlehto, Klein, Koskenoja - Analyysiä reaaliluvuilla Any good linear algebra book Tuominen - Todennäköisyyslaskenta 1 Martio - Vektorianalyysi Väisälä - Topologia 1 Gyllenberg - Differentiaaliyhtälöt Holopainen - Mitta ja integraali
Good for undergraduate maths
Jackson Ward
You forgot something: >0. Prerequisites Learn Runespeak really well for one year.
Jeremiah Morgan
I read a math book once and it was hardly any numbers buncha faggotry I says
Adrian Jones
fucc maths n shiiieeet, ooga booga
Kayden Garcia
What do numbers have to do with math?
Dominic Jones
>He reads finnish books in Uni level
Sad!
Cameron Brown
>>He reads finnish books in Uni level > >Sad! I mean they are good books
Logan Cox
Is this meme list any good?
James Edwards
What's wrong with Spivak's Calculus on Manifolds? If that's too much of a leap, so what you need Apostol's second volume. Spivak is just better.
Kayden Gray
>Nothing by Jouko Väänänen into the trash
Levi Reed
Johdatus logiikkaan and matemaattinen logiikka are pretty comfy, could add at least the first one on the list
Aaron Russell
Brainlet here, is it a good idea to follow this meme list over the course of 5 years?
Owen Campbell
Seems like this meme list is actually legit.
Cameron Walker
...
Jaxson Murphy
...
Chase Rivera
Let's say I slept through highschool math and got an E?
Could these books be my path to redemption?
Zachary Ross
Ya but you may need to refer to Khan Academy while going through Stitz-Zeager a few times. It's about building concentration, habits, and grit. It all depends on how much time you put in, how hard you work, how naturally gifted you are, and how far you want to go.
Joshua Allen
But you're a brainlet
Carson Kelly
Apostol's books may as well be named "introduction to analysis"
Lucas Wood
Go and do everything on Khan from basic shit to Algebra 2 then you are ready for the meme list
Joshua Young
I like it! I was using an older version but I will use this one from now on. Thanks, Veeky Forums.
