ITT ELDER GOD TIER BOOKS

[Anonymous No.14701494]

[Anonymous No.14701636]

[Anonymous No.14701713]

[Anonymous No.14701805]

>>14701636
>postgrad joke book
>god tier
Undergraduates are such dumb niggers, I swear.

[Anonymous No.14702100]

>>14701805
I like it

[Anonymous No.14702108]

>>14702100
I like it too, but it's not god tier.
Elements of algebra by Euler is god tier.

[Anonymous No.14702110]

Someone give me an EG undergrad topology book

[Anonymous No.14702113]

>the heart of cohomology
>The heart = emotions
>Cohomology = logic of two faggots
>The emotions of fag-logic
Kekerino

[Anonymous No.14703697]

>>14701494
based

[Anonymous No.14704407]

why are book threads so dead these days on /sci/? They used to at least get 50ish replies before with some anons recommending posting really cool books.

[Anonymous No.14704431]

>>14704407
anons are too busy arguing about how the reals are actually countable or how math zfc is inconsistent because you can't prove its consistency to actually learn something

[Anonymous No.14705283]

i will never tire of saying this, picrel is the best undergrad linear algebra textbook, the exposition is god-tier. only 2 complaints that can be levelled at it are that the treatment of the Jordan canonical form is a bit suboptimal and that there's little multilinear algebra

[Anonymous No.14705290]

>>14705283
it's good but...

[Anonymous No.14707277]

>>14704407
man do I miss them now that I realize what this board turned into.

[Anonymous No.14707414]

>>14705283
>Eastern Economy Edition
imo those guys have some really nice books

[Anonymous No.14708521]

ok ill give a couple. This is a new book but ive gone through about half of it and its really well done. it covers the material about as simple as possible.

[Anonymous No.14708522]

>>14704407
The shaggy steed of physics: mathematical beauty in the physical world
https://libgen.rs/book/index.php?md5=F701AADB1CDBF216DE5492E2B7448927

Symmetry in Mechanics - A Gentle Modern Introduction - singer
https://libgen.rs/book/index.php?md5=7A37A7E09FC25E47833A5B3575FA0347

[Anonymous No.14708541]

This one is also good, the first half of the book is a really pedagogical intro to modular equations if you don know elliptic curves.

[Anonymous No.14708544]

By far the hardest textbook I've ever studied from. But also extremely valuable in the field.

[Anonymous No.14708551]

This is probability in its most modern form, very dry but very complete. The new edition is in two volumes, ive gone through the first, but the second one is what you want for current research stuff like random measures.

[Anonymous No.14709366]

>>14708522
thanks

[Anonymous No.14709621]

[Anonymous No.14709622]

you don't even know what computer science is until you've read this, and it ain't even taught until postgrad

[Anonymous No.14710313]

>>14709366
Mathematics Form and Function - maclane
Physics from Symmetry - Schwichtenberg
The skeleton key of mathematics - a simple account of complex algebraic theories - littlewood

[Anonymous No.14712296]

bump

[Anonymous No.14712310]

>>14712296
>muh vanity thread

[[e-mail] No.14712335]

[Anonymous No.14712337]

>>14709621
based

[[e-mail] No.14712338]

[[e-mail] No.14712342]

[Anonymous No.14712898]

If you ever learn logic this book is by far the most reliable option. There's even a saying: "back to Ebbinghaus".

[Anonymous No.14712908]

>N.V. Krylov, Lectures on Elliptic and Parabolic Equations in Holder Spaces
It’s a book I’ve been reading this summer, when I am on vacation. I need to learn some stuff about the Holder theory of elliptic and parabolic PDEs, especially about Schauder estimates. It’s been a pleasure, since the computations are simple and I don’t need to get a pencil and papers to really understand the proofs, something you don’t want to do when you are on the beach. The content is quite old though, and should be considered common sense for every PDE person. But I am not one so I don’t feel ashamed for learning these stuff at my age.

[Anonymous No.14712930]

>>14708544
Why do you study this garbage?

[Anonymous No.14712941]

>>14712930
so I can feign superiority on /sci/

[Anonymous No.14713050]

>>14712941
Nobody here thinks you're superior for studying classification theory.

[Anonymous No.14713896]

>>14708551
Would this replace Shyraev? Thinking of just going through this one since it's really recent.

[Anonymous No.14713903]

>>14712908
> learning advanced mathematics at the beach
> taking an advanced textbook to the beach
you know you're not supposed to work on vacation right?

[Anonymous No.14713935]

>>14713903
>solves the high-dimensional Poincare conjecture while sipping on Caipirinha at a beach in Rio

[Anonymous No.14713939]

>>14713935
incidentally im also reminded of a good DG book by a student of Smale.

[Anonymous No.14713945]

>>14713903
people who have no life outside of their professional larping are not capable of relaxation because they have to keep the controlling know-it-all act going 24/7 for eternity lest their shameful dirty secrets leak out.

[Anonymous No.14714285]

>>14712930
>>14713050
I'm not >>14712941 but rather the guy who actually posted that pic. I'm a PhD student in logic and no, it's not to feign superiority, it's to actually prove I'm superior.

[Anonymous No.14714550]

>>14709622
I had this in undergrad as a math major sophomore
>>14713935
The most /sci/ Fields winner

[Anonymous No.14714583]

>>14713903
I know. But people take books to the beach and I am not interested in reading a novel like everyone else. I do chat with my friends, swim, hike and climb the rocks of the French Côte d’Azur like a normal person, but I consecrate one or two hours reading this nicely written book, because as I said, it is really a pleasure.

[Anonymous No.14714634]

>>14713896
I attend conferences in probability and sometimes editors from Springer Verlag would come and give books for free, Kallenberg’s book included. And we talk about these books. I feel that most people, even the most senior ones, haven’t completely read through Kallenberg’s book, and only use it as a reference when in need (what are the conditions for a regular probability kernel after disintegration?) If you really want to use it as the textbook, go ahead and you will have a solid foundation in modern probability. But if you are in any kind of hurry, there are a lot of more suitable references. For the francophones, maybe you want to start with J.-F. Le Gall’s lecture notes at the ENS of Paris, and also another notes of his on stochastic integration.

[Anonymous No.14715998]

>>14714285
How does it feel studying a fake and meaningless "branch" of math, i.e. large cardinal set theory?
You do realize that uncountable infinities don't actually exist, right?
The questions you're studying have no meaning whatsoever, unlike the good parts of math.

[Anonymous No.14716136]

>>14714550
>I had this in undergrad as a math major sophomore
that's very interesting, it's rare to see this taught in maths departments (at least in the uk)
i first had it taught when doing a CS masters at oxford

[Anonymous No.14717214]

>>14715998
Classification Theory does not need large cardinals. And actually a lot of statements about infinite models, type counting functions, etc are shown equivalent to statements about purely finite combinatorial objects. So it's actually very concrete at the end of the day.

[Anonymous No.14717455]

>>14716136
Granted our class did not use the whole book, I'm sure it was much easier than your masters class

[Anonymous No.14718098]

>>14715998
if you aren't studying mathematics for its beauty then why the fuck are you spending your time studying mathematics?

[Anonymous No.14718258]

Bump for more pdfs

[Anonymous No.14718321]

>PT Johnstone
Turn back now, before it is too late.

[Anonymous No.14718352]

>>14704407
zoomers. the answer is always zoomers

[Anonymous No.14718721]

>>14702113
hehe dummy dum dum

[Anonymous No.14719007]

>>14718321
lol why
because he obliterated his former phd student? (https://www.oliviacaramello.com/Unification/JohnstoneResponses.html))

[Anonymous No.14719040]

>>14704407
2020 killed this board for good