What math textbook are you studying over the summer?

>>8929732
Hartshorne Alg. Geom. chapters 2,3,4

>studying in summer
Fag.

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>studying textbooks instead of working on prize problems

>>8929757
>t. brainlet

>>8929732
Galois died in a noble duel while Elliot killed a bunch of asians and himself. Even though both were cucked, Galois is far better than rodger

>>8929732
Godel, Escher, Bach and a textbook on non-standard analysis. Probably a couple others.

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>>8929764

> using watermarked reaction pics

>>8929751
Same. Feel need to finally learn any geometry now that i'm phd.

>>8929732
Not math but Callisters 9th edition Materials

>>8929732
Lang's graduate algebra (the intro and as much as I can cover really) and a short pdf intro to homotopy theory

Diestel Graph Theory.

Conceptual Math + Haskell Road

William F. French, "Elementary Differential Equations with Boundary Value Problems"

Yay math! :)

>>8929732
Elementary Analysis: The Theory of Calculus by Kenneth Ross and Calculus by Spivak

>>8930056
Also add Simon Singh's the code book to this list.

>>8929732
I just finished a linear algebra course and somehow ended with a B. I'll probably read Linear Algebra done right over summer. Trying to teach myself some code as well so its not an absolute priority

>>8930081
did you guys go into diagonalization, traces etc. or just vector spaces and matrix stuff?

>>8930056
>Elementary Analysis: The Theory of Calculus by Kenneth Ross

Why are you reading brainlet books?

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>textbook
What is this 1895?

>>8930051
Thanks For mentioning Haskell road. I'm going to get it now. I like conceptional math.

Anyways to answer thread, I'm going through category theory for scientist, discrete mathematics (Rosen), Haskell programming from first principles.

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Been reading a book about engineering thermodynamics.

>>8930456
Jus' remember dat Carnot cycle lesson, nigga.

How to Prove It
Matrices and Linear Transformations
CLRS

>>8929922
Oof. Everyone assigns that one, but it can be pretty frustrating when you want an explanation of how a mechanism actually works. You might want to pick up a couple more if you have access to a good library. I found the books by Ruoff and Askeland very good supplements.

For me, I've got:
Modern Control Engineering by Ogata,
Digital Control of Dynamic Systems by Gene Franklin and J David Powel
Computer Organization and Design by Hennessy and Patterson

>>8930102
Because I've never done analysis before and Ross' book is apparently good for beginners?

I want to get my algebra up to Graduate level standard before I start my masters next year (since I will be taking alg geom, alg topology and elliptic functions)
I tried reading Lang's graduate algebra but was a bit too much.

Should I try Artin, or Lang undergraduate then try graduate, or Ruffi's chapter 0? I also want to pick up on some Galois theory on the way if possible.

>>8929732
some basic calc 1 textbook, it's in the other room so I don't know the title

I haven't done calc in like a decade so I need to brush up, all I remember is how to do, like, basic U substitution of the simplest integrals

>>8930543
>Should I try Artin, or Lang undergraduate then try graduate, or Ruffi's chapter 0? I also want to pick up on some Galois theory on the way if possible.

It really depends on how much background you have.

For Artin, how much background do you have in serious linear algebra?

>Ruffi's chapter 0

How much serious background do you have in the very basics like discrete math, relations, and so on? While he starts off super basic he doesn't throw punches.

If you are really weak in Algebra pick up Pinter. Go through the entire book, even the boring parts. Then graduate up to one of the other books.

If you are stronger in Algebra and strong in linear algebra then any of the books you mentioned are fine.

I like what Chapter 0 does by introducing category theory.

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Lang's Basic Mathematics

Below my level academically but really want to ensure I have a proper foundation before entering into serious engineering studies

>>8930550
Well, I'm finishing my third year now at uni and have done some linear algebra (first year, not very deep tho, but with proofs, up to Jordan normal form/eigenvectors, etc), some algebra at the level of Pinter (I actually have that book, but didn't glance at the Field/galois theory section), including ring theory/group theory and some algebraic number theory. I'm somewhat mathematically mature if that means anything, after going through also some intro real analysis, complex analysis and topology.

Does any of those require you to know linear algebra, or would you be able to pick it up from reading their (I suppose not so easy) treatments? I read the first chapter of Aluffi and found it quite good.

>>8930562
Honestly just pickup any of the books that interest you, that you mentioned. Work through them and if you get stuck then review background material as needed and move forward. I think you'll be okay given your background to start any of the books.

>>8930563
I'm also thinking about relearning some linear algebra, in a hopefully not very computational manner, but more abstract instead, any recs? Also thanks btw

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>>8930555
Ayyy me too. Except I'm reading it now, not over the summer.

>>8930567
Linear Algebra Done Right is the classic.

>>8930555

Precalculus by Carl-Stitz is better, especially for engineering.

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>>8929732
Spivak just arrived in the mail.

Matching Theory by Lovasz and Plummer. It's fairly entertaining.

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>Maths C3&4 revision guide

Linear algebra done right - Axler
Understanding analysis - Abbott
Standford mathematics problem book - Polya

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Yes, I'm a noob.

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Munkres' Topology, some random Python book, and some random cryptology book.

>>8930752
Good luck, I have C12 exam tomorrow, myself.

>>8929792
>noble duel
>not loading his pistol, getting shot and abonded by his second and friends to be found by some peasent and die the next day
>all over some whore

multivariate calculus
classical mechanics: electricity, magnetism, and thermodynamics.

Reading Reed/Simon (all four volumes) and Simons new five volume analysis text. Already familiar with a good chunk of the material in both but I've heard very good things about Simon's style of writing and want stronger/more diverse analysis background, I've actually almost finished reading the first volume of each series and have thoroughly enjoyed both. Also plan on perusing a few physics/geometry texts, namely Naber's two volume set, Jost, Nakahara, Frankel, Choquet, and fomenko, not really a proper read, just seeing which ones I like. The things I'm most exciting about reading though are Milnor's text, I've finally got all of them and want to read them all> For the most part I set my expectations way to high to complete all of it, but at the very least I want to finish Simon's book by summers end and the rest before the year ends.

>>8930543
Try Dummit and Foote then, it's a very easy to read book, hell at times I wish it was more terse, but it's loaded with examples and tons of problems to work through, plus the later chapters cover some basics of algebraic geometry, representation theory, and homological algebra. Normally I would recommend Lang as a grad algebra (or maybe even bourbaki) but since you had trouble with it DM is probably what you want to go with, then use Lang as a second course in grad algebra, it'll help you transition into more abstract subjects. Another good set of books is knapps basic algebra and advanced algebra, longer than DM but covers more advanced material, also free online.

>>8929732
Elementary Calculus: An Infinitesimal Approach

I'm already past halfway through the book, I just require more concentration to finish it.

>>8929732
Eisenbud - Commutative Algebra with a View Towards Algebraic Geometry
Liu - Algebraic Geometry and Arithmetic Curves
But I'm not planning on reading all that. I'll be spending a month in a country with no internet so I'll try to use that time to also do some non-mathematical reading and a lot of writing, maybe take a computer and do some programming.

>>8930770
All luck, math is a beautiful odyssey

What is a good graduate level textbook on differential geometry?

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>>8929814
>Using ugly girl photos instead of glorious shutterstock.

>>8931214
Fomenko has a 3 volume text on differential geometry (also a short intro covering all the basics), Kuhnels book is also good so is Spivaks 5 volume series. Other texts like Lee's manifolds and differential geometry and Nicolaescu's Geometry of Manifolds cover more modern topics. Bergers books are also good for this, he has one that is for differential geometry and one for riemannian geometry, though both don't require too much overhead in terms of background.

Introduction to Analytic Number Theory by Apostol

>>8931214
Jost's "Riemannian Geometry and Geometric Analysis" is my favorite.

>>8931313
The girls you posted have got more makeup caked on. That's all.

>>8931354
Also a great book, though it may not be suitable for a grad course in differential geometry specifically since there's a lot about "general" differential geometry not covered, only the bits necessary for riemannian geometry, things like curves, surfaces, "classical" geometries and spaces, differences between local and global theories, cartan's method, and more generally building experience doing these sorts or problems and using these tools. Also many of the concepts in the book shouldn't be your first intro to said concept, as such it'd be an amazing riemannian geometry textbook, though, only after you have had a good differential geometry book.

>>8931389
I assumed since he specified graduate book, he would have already had some undergrad differential geometry (classical curves/surfaces stuff, smooth manifolds, etc.)

Introduction to Analysis by Maxwell Rosenlicht
Introduction to Graph Theory by Douglas B West

Former because I didn't really grasp Real Analysis that well this semester and figure a different (and shorter) book could help.

Latter for funsies.

>>8930085
How can you teach linear algebra without diagonalization/eigenvalues?
What's the point.

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>>8930502
Ayy another ece guy. I almost went into control theory for my ee concentration but went for DSP instead, still want to take some classes in it though

My processor arch class used CO&D, we used it to write a MIPS processor in vhdl. Great book and learned a lot but never again

A=B

Generatingfunctionology

>>8930085
the fuck are traces?

>>8931916
sum of the diagonal entries of a matrix.

Ashcroft-Mermin
Not math though

>>8930543
Personally I hated Artin and Dummit and Foote. Artin was too focused on things I found uninteresting like linear algebra and his proofs often used the same stuff. His organization is very strange as well. Dummit and Foote is gigantic and would only be useful if I ended up stranded on an island. It wastes too much space for my taste by going into too much detail and putting key definitions in examples.

Since you'll be doing some serious abstract algebra work I recommend Herstein and both of Lang's algebra books. You should also pick up some commutative algebra from Atiyah and MacDonald as well.

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Jordan Schultz

>>8929803
>reading that shitty meme book
get /lit/ senpai

thinking of taking a complex analysis or combinatorics class in the fall. looking into Complex Analysis by Stein and Shakarchi

and maybe an algebra because I flunked that class so hard and feel so much shame

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>>8930054
>named William F. French
not a french

>>8930543
Get Aluffi for the category theoretic perspective, especially useful for alg. geometry and topology.

>>8930770
Bought that book last summer but never cracked it. Used Khan Academy instead and it was wholly sufficient for preparing me for calc 1 (I'm assuming that's about where you are). I'd just do that instead

>>8930555
That's a GOAT tier book, I remember reading that shit my senior year of high school. Good times.

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>topos theory by johnstone
>higher topos theory by lurie
And if I have time, something about homotopy in a topos.

I am become study, destroyer of curves.

>>8929732
Shelah. Wish me luck. Hope i won't end up in psych ward

A book on information theory

>>8929732
I don't bother cause i now despite what my plans were i won't probably gonna do shit. I have a lot of summers like this behind.

>>8929732
apostol calculus

>>8930770
very good book. only part i didn't like was the geometry

>>8937608
also the fact that the author was a socialist, but at least he was tactful enough to leave politics out of math

>>8930951
he was 18, 18 year olds have hubris

>>8930516
Tao Analysis I & II, Pugh's Real Mathematical Analysis; Hoffman and Kunze, and Linear Algebra Done Right. Thinking of picking up Gamelin's complex analysis. Any thoughts?

>>8930485
clrs struggles

are you doing 6.006 ocw too?

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>>8930543
Aluffi's Chapter 0 is the absolute best. Stick to it and get as far as you can and you'll have a solid foundation for any future algebraic work

>>8929732
I'm reading Euler's and Leibniz' books on calculus, it's comfy as fuck

>>8937773
I'm doing pre-CLRS studying. Going through the entirety of Rosen's text (minus some Boolean algebra/circuit drawing stuff).

>>8929732
Royden's Real Analysis
Lehman's Elements of Large Sample Theory

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https://www.youtube.com/watch?v=kgQfoXIJiWI

(yes i bought the book)

Baby Rudin

Just took on a masters degree in applied math from a batchelors in engineering. Gotta get my skills up to scratch

Is Thomas' Calculus (ISBN: 978-0-321-88407-7) a decent Calc book? It's what we used in Calc I. I thought it was decent, certainly much better than any of the texts we used in high school, but my experience is pretty limited. This summer I was going to review and supplement it with Apostol, Courant, or Spivak, as I've seen those recommended as very rigorous for this level. Is there anything else someone could recommend to get ready for Calc II?

>>8938008
I read some of it and remember liking it

>>8938012
You have bachelor's and haven't yet read Rudin? How is this allowed?

>>8929732
Mathematics for Australia 12 Mathematical Methods

Doing it for school, it's pretty easy atm.

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>>8938810
Maybe not American

My master's project involves differential topology with required texts milnor topology from a differential viewpoint and Hirsch. What are some prereqs for these that I should at least be quite confident in? I have some (algebraic) topology and differential geometry (do carmo curved and surfaces), and the description says we could venture into some algebraic number theory (of which I know some of too), so anything on that?

I will just watch anime and porn this summer.

>>8929732
>studying in summer while chad is banging hot bitches

fucking nerds :^)

>>8929732
are there people that have read the whole EGA+SGA series ?

>>8939885
Mochizuki.

>>8939512
my man

>>8939998
that's what I read on an article online
I seriously wonder whether it's true or not

A Transition to Advanced Mathematics by Douglas Smith. Really great book to learn proof methods and mathematical reasoning.

I'll be starting Topology next year, anone got a good book suggestion ?

>>8938810
because engineering.
we learn what we have to and nothing more.
I wanted more, so I entered the math scene.

>>8940057
munkres

>>8940077
Thanks mate

>>8929732
All of them

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>>8940381

Wald. General Relativity.

>>8929732

what do I read next?

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>>8941035

>>8930979

Bourbaki _Algebra_ or Bourbaki _Commutative Algebra_

>>8941035
Hilbert and Courant

Calculus on normed vector spaces by Coleman

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>>8929751
>>8929891
My niggas. Feels good to finally learn sheaf cohomology.

>>8939502
Really all you need for milnor and hirsch is just basic topology at the level of munkres, janich is also great.
>>8939512
Check out la blue girl, its both anime AND porn, also somewhat has a plot and good animation.
>>8939885
>>8939998
>>8940050
Lots of people have read all of EGA and SGA, though it's usually not their first course in algebraic geometry. The actual content is covered in other algebraic geometry books, maybe not in one single text but at the least they exist in other forms like in vakils notes.
>>8940057
Munkres is fine, though there are better texts like janichs topology
>>8941047
Algebra, it starts from the very beginning. Other good online texts are milnes notes and knapps notes. Free and pretty good.

>>8941074
very good book

A question, to learn dsp do i need to learn first real analysis / fourier analysis?

not a book but a ml course
got a math friend to help me out with my crippling cs math retardation

>>8941576
the amount of reading necessary to be an algebraist geometer is just insane

>>8941886

Not necessarily, you might want to learn about Fourier transforms beforehand since your study material could be written assuming you already are familiar with it (as is typically the case in EE).

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Gonna work through Complex Variables by Flannigan along with either ODE by Pollard & Tenenbaum, Mechanics by Hartog or Functional Differential Geometry by Sussman & Wisdom

/g/ has the gentooman's library

does /sci/ have a similar collection of math and science text books for download?

>>8942352
Not that much more than say, analysis, although there is a greater overhead to learn algebraic geometry it's not outside of the realm of most mathematicians partly because AG has so many applications that many objects can be viewed through the lens of different fields. To actually learn what might be called the fundamentals of AG all you'd need to do is first gain the prereq knowledge from algebra, i.e dummit and foote (this actually covers basic AG at the end), milnes online notes, langs book, bourbaki. While this may seem daunting this is actually standard for any math graduate student to learn, so you'll already have many of the prereqs as a 3rd year phd student, though it is not uncommon for an undergraduate to know this material. After learning some algebra books like commutative algebra with a view towards AG and undergraduate commutative algebra by milne help make the transition to AG. This will help with the "algebra" part of AG, though when you start to abstract things you use mostly algebraic tools the geometry side gives you an intuitive crux on which to base things and gives a natural interpretation to certain definitions and schemes (no pun intended) you can learn a good deal of geometry from bergers two texts and then classical AG from beltramettis book. Now knowing the algebraic concepts and geometric roots it'll be pretty easy to pick up a lot of fundamental AG, first look at an AG book for undergrads like milnes undergrad AG, royal road to AG, basic AG by shafarevich, and then make the transition to more abstract texts like hartshone, though if it seems too daunting try ravi vakils notes, they're excellent. After this FGA explained will get you to modern algebraic geometry. Though maybe this seems like a lot (much of the prereq material is covered in a good undergrad education) the quickest route would be dummit and foote, then ravi vakil's notes, then FGA explained, though some of it may seem unmotivated this is will get you to modern AG.

>>8942712
>>>/t/741840

>>8931313

Ay. I love Pogo's stuff. Sword in the stone, Alice in Wonderland ones are superb.

>>8929732
gonna re-study linear algebra
also some ODE's and PDE's

>>8937654
>Ross
Pugh is a very difficult book that certainly isn't suitable for a beginner. Tao's books are great but lack the solutions manual vital for self study. Hoffman and Kunze is too advanced for me and I already have Lay's linear book. Unfortunately, I know nothing about Complex Analysis.

>>8931214
spivak

>>8943947
thank you very much for your detailed answer

no need to go through abstract differential geometry first ?

>>8946686
By "abstract" differential geometry do you mean differential geometry over smooth manifolds and not the euclidean space? Well, for certain subfields of algebraic geometry it is necessary (complex algebraic geometry and complex geometry are closely related fields) because of this many basic books like shafarevich cover complex manifolds, though it assumes knowledge of the basics of topology, differential topology, and algebraic topology i.e. definition of topology, (co)homology, differentiable manifolds, so on, the first half of munkres is enough to understand the topological part, the rest can be found in the second half of munkres and lees smooth manifold book or bott/tu. There are other books that introduce these concepts in a category theoretic manner like royal road to AG or vakil's notes, some texts skip this stuff though like milnes set of notes, though they are geared for a different part of AG. Actual differential geometry like sectional curvature comes up in more advanced topics of AG. I would recommend perusing multiple books just to see which writing style you like the best though since the three books I mentioned were the quickest route, not necessarily the easiest since it might be easier to go through an undergrad AG book before diving into the real thing. Also I made a mistake, the books undergrad commutative algebra and undergrad AG were by miles reid (also no manifold stuff).

Introduction to Probability by Bertsekas
Elementary Number theory by Rosen

Any book recommendations on the theory of computation?

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Fuck linear algebra done right! the only right way is to learn by manga!!1!

>>8947460
Yes, this is precisely what I meant by "abstract differential geometry".
Thanks again for your precise answers.
From what I've read here and there on the internet, Ravi Vakil's notes are quite popular. He seems to do a great job introducing a good chunk of the prerequisite material to AG. I will try to go through those, after I'm done with Reid's undergraduate algebraic geometry.

>>8947676
This would've been funnier had you not typed anything.

>>8949215
No problem, and yeah, I imagine Vakil's notes will become the standard in a few years. Good luck.

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>>8929732

I just fell for this meme

last time I tried to read a Knuth book I got put in my place.

I actually did learn quit a bit though, because it was the only thing I had to do for a week while my Internet was out.

>>8947657
Introduction to the Theory of Computation by Michael Sipser

I know this is a thread about Math textbooks but I was hoping to get some recs on Chemistry textbooks. I've never taken chemistry before and I need to in order to get into the engineering program.

>>8950298
Go through Rosen, then Knuth

Not math but taking online classes from my university for Circuits and Digital logic design. I was thinking of studying graph theory though

>>8929732
I'm going to watch every episode of richard hamonds engineering connections

and every episode of how its made

>>8950462
Read a grown up book.

Introduction to Smooth Manifolds by Lee

Anyone interested in studying with me? At this point in my life I'm only a hobbyist so forming a study group could be motivational.

>>8953520
what is the grown up book for automata theory

>>8929732
I'd like to delve into philosophy, and learn about malware anlysis and reverse engineering in general.

>>8954535
Automata & Computability by Dexter Kozen
Elements of Automata Theory by Jacques Sakarovitch

>>8954928
thanks

>>8930555
>ensure I have a proper foundation
Good idea
Math/physics/engineering is built on layers of abstractions. Once you miss one, you are done for.

>>8930085
Diagonalization is the most fun part of linear algebra.

I'm finishing up my intro to proofs class this quarter and in the fall, I'll be taking the most rigorouses courses in Abstract algebra and Real Analysis my school has

Baby Rudin is the book my school uses for real analysis

Despite doing okay in the proofs course, I do NOT feel prepared. What should I do over the summer to get ready?

Someone suggested Spivak and another suggested a point set topology book. Any recommendations?

>>8929732
I'm planning on studying as many textbooks as possible. I started with combinatorics but realized it's just bullshit and now I focus on analysis. On numerical analysis but want to get into functional analysis and brush up on real.
I'm learning TeX so I can write down notes and solve problems fast.
>>8955450
Get free real analysis textbooks online and read them. Do it daily.

>>8930770
I worked through the entire thing last summer.

Make sure you do the problems. That problems teach you a lot that isn't written anywhere in the book.

>>8955801
> I started with combinatorics but realized it's just bullshit and now I focus on analysis.

couldn't agree more anon

>>8955801
>tfw done this for 10 days
>running out of analysis books to download

Best book on complex funtions?

>>8930516
It is, don't listen to these people.

>>8930550
I'm goona shill Dummit and Foote because it's comprehensive and thoroughly explained.

>>8933806
Bak and Newmann is good too and it has solutions ( for Complex Analysis ).

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Seriously no joke. have to start somewhere.

The necronomicon

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>>8956694

>>8955801

Do brainlets really need to try in order to learn tex?

lol

>>8956694
I dropped out of high school at 17 and started college when I was 22, having forgotten the little math I had learned. A month before taking my placement exam for the community college I was going to, I spent 2-3 hours a day working through a practice book for the math portion of the exam. I scored well enough to place into pre-calculus/trig. Now, 2 years and many math classes later (up through ODEs and LA), I'm going into my junior year of physics at a great state school.

I've really grown to enjoy math so much that I study it outside of class. Back when I started, I was intimidated by the very word "calculus". The more you learn, though, the more you begin to have confidence in your abilities, and the anticipation of the next math class excites rather than intimidates you.

Working your way up, a lot of the elementary material can seem tedious and pointless. But once you get to the real interesting parts (which for me was vector calculus), it'll be worth it. If you get discouraged, open up an upper-level textbook and think about how great it will feel when you understand what it's saying.

Principles of Mathematical Analysis. Currently mid chapter 2, any tips?

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This one.

>>8957016
Chapters 1-8 are great, 9-11 are skip-able, make sure to do all of the problems, if you want to get really good anytime you see a theorem and he provides a proof, don't look at the proof, first try to prove it yourself, if you prove a theorem yourself you'll be able to remember and understand it far better than if you just looked at the proof.

>>8957341
good advice

>>8957016
If you want a good treatment of the material in chapters 9 & 10 you can't go wrong with Spivak's Calculus on Manifolds, or Chapter 5 of Pugh's book. For the measure theory in chapter 11 I like Tao's introduction to measure theory.

>>8957743 Don't do it man, go with Gilbert Strange on MIT ocw

Currently working through Atiyah & MacDonald's commutative algebra.

My uni doesn't offer any geometry classes other than "modern geometries" which is some bullshit course for education majors.

What topics / books would you guys recommend for something done from a geometric viewpoint? (e.g. differential geometry, projective geometry..)

Something introductory but not too basic would be ideal.

My background is basic abstract / linear algebra, analysis (Rudin up to but not including measure theory), and algebraic NT

>>8959005
If you are currently doing commutative algebra, just finish that and then jump into algebraic geometry.

I'd recommend you start with something like https://www.amazon.com/Algebraic-Geometry-Projective-Varieties-Mathematics/dp/3540586571

And then move onto Hartshorne (skip ch.1, it isn't very good) supplemented by Eisenbud&Harris.

>>8929732
>that pic
delet this

>>8932323
Dummit and Foote is fine. You don't need to read all the examples ffs. Who reads examples? Are you retarded or something?

>>8959828
Sorry. I meant putting definitions and remarks in the exposition, not examples. I dislike the exposition so I often ended up missing important stuff when trying to read it.

>>8957016
https://math.berkeley.edu/~gbergman/ug.hndts/m104_Rudin_notes.pdf
https://math.berkeley.edu/~gbergman/ug.hndts/m104_Rudin_exs.pdf

For preparing to enter engineering, Stewart's Calculus Single and Multi. It's in the syllabus.

Almost done Single atm, though I just do enough practice questions like how one would do an exam, until the shit is too trivial along with recall of the definitions or proofs in each chapter and trying to understand how they work exactly, I suppose.

I do the Young's Uni Physics with Modern Physics textbook at the same time to try to frame the math in physics and to do something different, but it's almost all pre-calc though.

>>8955424
This, I love diagonalization

t. First year
>>8930085
diagonalization is used for exp(At) or A^t

I have done some topology, and interested in algebraic topology

even if its just some online course notes, any recommendations?

>>8937619
he just wanted to die imo

>>8959933
standard is Hatcher, and it's free online

>>8959933
Hatcher is standard but it is a love it or hate it type of book. I personally hate it.

I would go with Bredon instead. Or May if you want to challenge yourself.

>>8937834
Hull is great, you should also check out "investments" for something similar.

>>8930567
>>8930573
>>8937654
>>8930081
>>8930760
Try Linear Algebra Done Wrong by Treil, far superior book.

Not a joke, this is a real book that I used.

Lectures on the hyperreals: an introduction to non-standard analysis

>>8959005
Shafarevich - Basic Algebraic Geometry

>>8959887
>I do the Young's Uni Physics with Modern Physics textbook at the same time to try to frame the math in physics and to do something different, but it's almost all pre-calc though.

Read Kleppner & Kolenkow

>>8961786
not the anon you are replying to but what kind of prerequisite are needed for the two volumes ?
is the standard undergraduate material enough ?

>>8941037
Discrete math with ducks is better though.

researching a condition for orthogonality of functions.

also reading abstract Algebra in spare time. working part time teaching engineering students analog electronics.

t. math grad

>>8959005
Berger has a two volume text on geometry and a standalone text called "geometry revealed" which is more or less a special topics book, then beltrametti has a text on classical algebraic geometry

https://books.google.com/books?id=5W6cnfQegYcC&pg=PR5&source=gbs_selected_pages&cad=3#v=onepage&q&f=false

https://books.google.com/books?id=pN0iAVavPR8C&pg=PA68&source=gbs_selected_pages&cad=3#v=onepage&q&f=false

https://books.google.com/books?id=g9DBgD22n_IC&pg=PR13&source=gbs_selected_pages&cad=3#v=onepage&q&f=false

>>8929732
Cryptanalysis of Number Theoretic Ciphers-Wagstaff

Learn to Play Go-Janice Kim, Jeong Soo-hyun

Crime and Punishmen - Dostoevsky

Also researching so reading an assload of papers