Epic Math Book Speed Run

[@alphago9397]

I honestly felt a great relief after hearing how much of a serious gamer you are because I am too and I sometimes feel really guilty whenever I spend time gaming because I always feel like I should be studying/reading math instead..

[@Dave.Mustaine.Is.Genius]

And plz go fer philosophy too. Without philosophy, everything is meaningless.

[@kv6257]

So , go learning math & physics

[@Bai_Su_Zhen]

@@Dave.Mustaine.Is.Genius Imagine he takes up philosophy because of your comment only to become a nihilist 😂

[@Arthur-qj5ch]

@@Dave.Mustaine.Is.Genius Nihilists: 😐

[@eduardozardo6907]

@@Dave.Mustaine.Is.Genius without theology*

[@mummy_napkin4481]

This channel is an absolute gem. I am interested in learning how to write proofs in order to better self-study and there were several books in this video that I am sure will be useful. Thanks Math Sorcerer!

[@TheMathSorcerer]

👍

[@luisgomez4647]

I don't recommend learning how to do formal proofs from a math book. It is better to learn formal proofs from its purist form and that would be from textbooks called Symbolic logic or just Logic. My favorite book on learning proof techniques in sentential and predicate logic is "The Logic Book" by Bergmman, Nelson and Moor. After reading "the logic book" I recommend reading books on Set Theory and math foundations such as Enderton's "Elements of Set theory" and Elliot Mendelson's "Number Systems and the foundation of analysis". Those books teach the reader how to construct sets and arithmetic functions for classical maths such as the sets N, Z, Q, R, C.

[@whitb62]

As someone who plans to teach k12 biology soon, I really enjoy your appreciation for textbooks. I too have a range of biology/chemistry textbooks that I absolutely love. There’s definitely something to say about the value of traditional, paper textbooks.

[@TheMathSorcerer]

Yes, I love books too!!

[@raylopez99]

In a generation this will be long gone... kids will learn with robotic teachers and the "New Math", along with numerical analysis and programming replacing closed-form equations at college, to the extent US citizens even bother with science rather than depending on foreign talent. Then again, all of education is just signaling so it's just as well I suppose. Edit: this has already happened to a degree in engineering, and in history, with the rise of "world history" with shibboleths and mnemonics replacing names, dates and events, and all civilizations treated equally important no matter how obscure.

[@zesanurrahman6778]

@@TheMathSorcerer math speed runner nice

[@rickhrkachjr]

Can you post your list of books on chemistry and biology?

[@Raii_Chu]

@@raylopez99 what?

[@maxdominate2481]

I taught myself independently both the skill and art of "math proofs" from the Velleman book. I remember finding that book and thinking this is "Holy Grail". It completely change my trajectory in life especially since I wanted math to be a big part of it. Hence, I'm glad to see it among your collection.

[@deepsea2478]

thats a collection of math books great tutorial its really good you give us general view on different math branches

[@andrewchang7194]

After my undergrad algebra sequence, I tried to speed run Lang Algebra, and then Hartshorne Algebraic Geometry chapter 2, 3 (presheaves, sheaves, sheaf cohomology, schemes) over the course of 1.5 years, ended up deep diving into category theory for a year and covered no algebra (I learned a lot of functors, limits, colimits, and presheaves/yoneda things though). Speed running the more analytical topics (calculus, analysis, differential anything) is definitely possible (definitely speed-runned the differential topology, differential forms and exterior algebra sequence), but the algebraic geometry route is such a gigantic rabbit hole that you’re going to get lost when you inevitably have to utilize presheaves and natural transformations. A 2/10 experience

[@c-ronos]

nothing to say... Good job

[@w花b]

I get intense burnout from reading too much, especially math ones because I like to think about what I've just read and try to make links with what I already know. Never finished one and they're probably not supposed to be read like a normal book I guess?

[@andrewchang7194]

@@w花b I definitely don’t finish books all the way 😂. Even stuff like baby rudin, I only read chapters 1-8. For a lot of math books, the last 2-3 chapters really feel like a throw-in that the author felt like including. They don’t go nearly as deep as the foundational material covered. In rudin, I remember from chapter 8 onwards, it’s special functions and differential forms and lebesgue integration. Those last 3 chapters are topics that could have entire book series written about them, but rudin just decided to throw it in the last 1/4 of an already short book. Even for algebra books, after you get the basics of group theory, ring theory, field theory, module theory, the rest of it is very extra information that is only relevant to specific subfields (algebraic geometry, algebraic number theory, etc). I’ve found that the only books that really need the entire book from end-to-end are topology books but I might just be biased.

[@MichaelNorris-n4o]

I love how you keep things simple yet informative!

[@nellwackwitz]

That was brilliant! Thank you so much for that happy visit with some well-loved books! ❤

[@Invictus_Mithra]

Hey Mr. Sorcerer, I recently discovered your channel and it has been a huge source of motivation and knowledge. I have had a horrible experience with math because my foundational math skills were/are lacking. In high school, math was a huge source of anxiety and it almost prevented me from getting into my university of choice. Things got a little better in university but I still hated the way we were taught math and it caused a lot of anxiety and motivational issues. I've always had an interest in technology and electrical engineering but I never tried to pursue that interest academically because of math. Now that I've graduated university, I've found self learning to be really helpful and I'm starting to develop a newfound appreciation for math. I still have issues with math anxiety but I'm motivated and found that learning at my own pace has been really helpful. Now, I'm hoping that I'll be able to develop enough of a strong foundation where I can combine my major (molecular biology) with some of my more math focused interests to get into a field such as biostats or bioengineering. There are a lot of books I'd like to get through. So far, I've been downloading and reading them on my computer but that is putting a lot of strain on my eyes. Do you have any recommendations on where to find these books used? Do you have a particular process when you go book hunting? I'd love to have physical copies and start my own collection that could communicate my own journey through the subject!

[@alwaysright3943]

Hail Mithra!

[@FabiansLab]

I wish my teachers were as cool as you lol. My diff eq teacher can barely speak English and your uploaded lessons has definitely saved me

[@Scatter_Guy]

Love your content! It would be great to see a video on your personal methods of coming up with good questions to ask speakers in general. Like those really good questions that target something meaningful and insightful.

[@amydebuitleir]

You: "This is a really old book on number theory". Me: "Unless they've discovered some new numbers recently, it's probably fine."

[@TheMathSorcerer]

👍👍

[@quantisz4416]

New numbers are constructed in Googology nowadays. But the most part of them is ill-defined.

[@annaclarafenyo8185]

A speedrun is where you do ALL THE EXERCISES as fast as possible.

[@RelativeLYIMpatient]

Yep. Talking about each book is just like a commentary....

[@theranger560]

i thought about minecraft

[@benjiusofficial]

"This challenge is a real speedrun killer. It's not RNG but it doesn't give me any numbers and 'requires creativity' so we are just going to use the 'money and time' strat."

[@TheMathSorcerer]

👍👍👍👍👍👍👍

[@arturocevallossoto5203]

I was doing something like that in some undergrad Physics book. Those they use for the first two years and are really thick. There are like 50 exercises per chapter! I decided to only do prime numbers and, let me tell you, it was veeeeeery slow. I failed that challenge :(

[@astrophysicalevidence]

Wow - my second comment on this channel since you got me hooked a few weeks back. Counterexamples in Topology from my 2 favorite math professors I had in college! Great to see it!!! Steen and Seebach were able to get Paul Erdos to come visit who’s lecture I attended (but didn’t understand as an undergrad). Good memories!!

[@gottfriedwilhelmvonleibniz9033]

That's an awesome idea, thanks a lot!

[@michaelsommers2356]

Your broken book can be fixed. Just use Elmer's glue. Before closing the book, though, put a sheet of wax paper between the pages at the break, so the pages don't get glued together. The librarians at your local library should be able to give you some advice (that's how I learned). I have done it a few times successfully (but never with a book that badly broken).

[@billmorrigan386]

It's not really a problem. It can be easily glued back and will be as good as new. Any fabric glue will do the job. I glued many books like that.

[@Kavyakavya-sr5rd]

Im stepping into third yr ug maths student today... I really appreciate ur contents about math ... Im Always maths lover but recent times I love ur motivations and ideas morethan maths.... Thanks Sir 🤩❤️... After my ug .. I love to made Maths library for my studies like u Sir 🥺🥰

[@oahola237]

On your advice I have been studying A Transition to Advanced Mathematics. Half way through. It is very satisfying.

[@TheMathSorcerer]

Nice!

[@ottoomen5076]

I only bought one book after watching this video! I am getting ready to take combinatorial analysis and graph theory at Wright State University, (Ohio) next semester. I am very excited for my first graduate-level math class!

[@TheMathSorcerer]

👍

[@trs80model14]

That's a tough subject. Combinatorics is probably the prime example of an area of math that either you have a "knack" for - or you don't. So if it isn't your thing, not to despair, there's lots of other areas!

[@daniellindner826]

Great video!!!! Although I love love love the in depth book reviews, i really appreciate you giving us an insight into more of your books. !!

[@TheMathSorcerer]

Thank you!! I have so many more too!

[@daniellindner826]

@@TheMathSorcerer Amazing!! Can’t wait for you to drop those reviews.

[@TriglycerideBeware]

I loved this video. Calming and informative. Makes me feel inspired to learn rather than overwhelmed

[@meteor8076]

Amazing video, I've been waiting for something like this, thank you !

[@stereotypejew507]

Hi!! I really appreciate your content, it is good, and the style is unique. 💙💙

[@raymondsaldana2161]

Great vid, I'm going to use this to try to speed run some of these books, thx so much for this.

[@brianmiller3318]

Great job, I thought I was the only one in the universe that buys old math and electronics books 📚.

[@sicko_the_ew]

I have a tip (probably too basic for the advanced mathematician, but great for even outright beginners - I think to the point where the way it's presented makes it something a school kid could learn from): Barwise and Etchemendy (spellings might be wrong, and I may have the title wrong, too: I think it was _Language, Proof, and Logic_ ). It comes with a disk of software that the exercises are designed to make use of. Starts with propositional logic, finishes with first order logic, and it may have even mentioned aspects of modal logic at the end (but have forgotten). It keeps things neat, and helps a lot with seeing the underlying structure of any proof. Its great strength was in helping with learning by doing, and in not just having answers to exercises, but immediate feedback, and a need to go back and fix what was wrong before continuing.

[@edwardgraham2566]

Loved this video ... nice done and covers a tone of different mathematics books ... please, more ... Thank you!

[@niteman555]

The title didn't trigger anything, but the table of contents for A First Course in Probability brought me back to my college days. I have the 8th edition, but I think we were actually using the 9th for the course.

[@swordofstrife1174]

I also reccomend The Princeton Companion to math, it’s a fantastic reference work for anything in pure mathematics

[@dot5816]

Hi! I'm curious why you never mention Tom Apostol's Calculus book (2 volumes) when speaking about Calculus, could you explain? I'm trying to climb the math latter & I'm currently looking for Calculus books, thanks in advance!

[@saisreekar4425]

It's super intriguing especially speedrun on math books and it'll be nice when there's a speed run of math problems.

[@TheMathSorcerer]

👍👍

[@theory813]

It's fun to think of learning a ton of math from all sorts of crazy books, but realistically it's going to take a year to get through just one doing self-study along with all of the business of life. And that's being extremely optimistic.

[@florianbuerzle2703]

Great video! 😀 Fun fact regarding Sonnenschein & Green, Complex Analysis: „Sonnenschein“ literally translates to „sunshine“ (Sonnenschein is composed of the two German words „Sonne“ (sun) and „Schein“ (shine)).

[@TheMathSorcerer]

Oh wow thank you!

[@isaiadriel4643]

Today I really understood what envy is Nice textbook collection by the way

[@billmorrigan386]

Huge like! Great books! However, it would be good to do a little separation: elementary math, standard university courses, advanced/additional university courses, and books for professional mathematicians. Books can further be subdivided into areas, like: - calculus, linear algebra (standard courses); - probability theory, discrete math, ODE, PDE, complex variables (advanced/additional courses) - number theory, differential geometry, real analysis, functional analysis, abstract algebra, and topology (courses that are usually geared towards professional mathematicians).

[@assassin4615]

Epic saga collection 😍

[@larryyonce]

Appreciate your enthusiasm for math texts. Fun video 👍

[@martinmore2698]

Who needs an air freshener when you can have a shelf full with old math books.

[@TheMathSorcerer]

❤️

[@bradleystich6245]

Although I wouldn't recommend it as a first course text, Concepts in Abstract Algebra by Charles Lanski has some really great examples in it that you won't find in the average algebra book, particularly in the Sylow and Galois Theory sections.

[@mokamoka9048]

Thanks for sharing your treasure 👏👏👏👏👏 you made me to like math and read more books about it 👏👏👏👏👏❤️❤️❤️❤️

[@Autistaar]

See your videos, I motivate learning more English. Thank you so much. ♥️

[@ron0studios]

+1 for going through velleman! It's an awesome book!

[@Carlos-qz7ul]

Such a worthy endeavour ! 👌 Still feeding from your passion and getting certainty from it. Be thanked for your sharing once more, friendly greetings !

[@beardymonger]

@10:58 I thought I was the only one who thinks some books just smell great 😀

[@physicshypernova2083]

Nice! I have both the first and second course in calculus books by Lang as well as his Linear Algebra. I also like his style, it's easy to read and understand. Thanks!

[@TheMathSorcerer]

Very cool!

[@hans-rudigerdrzimmermann]

Do not get crazy! I only like textbooks which offer many problems with solutions. Math is not reading and veryfying line by line the logic and correctness of math textbooks but doing math, since math is a process and can be very deep

[@anubhabbhattacharjee476]

Counter example of topology is really great book for learning. I studied before my teacher started his classes and I was know all the counter examples for convergence in topology

[@DustinRodriguez1_0]

I got a really great set of books called 'Comprehensive Mathematics for Computer Scientists'... I am primarily a CS guy, but wanted to learn some more math that either didn't get covered in school or that I didn't grasp at the time. For me, at least, the book was slow going, but very good. A lot of 'read one sentence and then think about it for several minutes to actually understand it' going on. It's a lot like one giant proof. More difficult to read than research papers, but quite rewarding. When they say 'comprehensive', they are not kidding. It starts with set theory and proceeds from there building everything.

[@ramirofalco]

Great video, I like your book reviews and will be expecting more ;)

[@TheMathSorcerer]

thank you!!

[@inejunta6569]

You have a really likable personality. You make me feel okay to struggle and slow burn some math. Now I know It's the video games. I know people knock others for spending too much time playing video games. But it's weird how it seems to make people have this similar kind of feel, linear to goal thinking and a realistic type of function and humor. That's my compliment of the day, and that's from someone that doesn't game. It's just a weird bias, right?

[@inejunta6569]

Right, I had a real question. Do you ever recommend listening to music. I haven't watched many videos of yours so guessing you probably covered it six times.

[@TheMathSorcerer]

Oh wow that's a tough question!!!!!! I was doing some math today with no music. Sometimes music can be fun, as long as you can focus:)

[@ayushsinghiitk1886]

GREAT AS ALWAYS...😄👐

[@mentatphilosopher]

Perhaps you or your viewers can help. In the 1970’s I took a trimester class on Advanced Calculus with Stephen Vagi. It would be better titled 101 ways to prove convergence. It was the first part of an Advanced Calculus-Real Analysis-Complex Analysis year. He used a textbook called I believe Advanced Calculus but it was already OOP and there was just the one copy held in reserve at the library. It was small, maybe six by eight inches and probably 100 pages or less. I remember that you could get two pages when xeroxed. The xerox and my notes are now lost but I would really like to get a copy of it. It might also have covered differentiation and integration but I only remember convergence and a basement classroom first thing in the morning with Dr. Vagi smoking little cigars and the ash growing until it fell on his belly and getting brushed off with no break in him covering the blackboard without notes in a small neat handwriting. I have tried library searches and random book buys with no luck. To put the time frame in context, the next year I took a year long course on Mathematical Methods in the Physical Sciences using the book by that name by Mary Boas and taught by Mary Boas. Any assistance welcome.

[@TheMathSorcerer]

Oh how interesting. You don't recall the author though?

[@mentatphilosopher]

@@TheMathSorcerer Sadly no. The cover was that standard brown or gray of which I see you have many examples with just the title Advanced Calculus printed on it.

[@ILoveMaths07]

Thank you so much for this!

[@hopelesssuprem1867]

Thank u for this amazing review

[@Towert7]

Kids these days might not realize just how nice some books can smell, because they don't use books. Every time I see someone say how nice a book smells and sniffs it, I know they share the same appreciation as I do. First thing I do with a new book is fan it out and smell it.

[@Lillyz14xp]

Can I ask you to make a table for each math subject and how long does it take to learn and what should we learn first if math is not our subject.

[@numericalcode]

Thanks for sharing!

[@knw-seeker6836]

fantastic idea that's so much knowledge in almost 50 mins wow

[@TheMathSorcerer]

thank you!

[@pl412]

Oh nice love vids about your books

[@shrihansuchit6647]

I think nothing is harder than algebraic geometry seems like you love analysis and calculus and things like that. Please Comment so that I can get your opinion about the hardness of algebraic geometry and algebraic topology.

[@motherflerkentannhauser8152]

What I have to disagree on with a lot of people is gilbert strang's linear algebra. I know both of his courses and his book are highly regarded around the world and the book is probably used for undergrad linear algebra courses in some of the best universities in the world. It was also my textbook for my undergrad course. However, based on my experience in that course, the book seems to focus more on stuff that are more useful in applied mathematics, such as matrices, solving linear systems, all kinds of matrix decompositions, pseudo-inverses, least-squared approx., etc. instead of the more theoretical aspects, such as linear maps, vector spaces, norm/inner product spaces, isomorphisms, dual spaces, linear functionals, etc. So much so, that, when I first met my mentor in differential geometry, he said I basically learned all the linear algebra that I *wouldn't* need for differential geometry lol.

[@anjanavabiswas8835]

Yeah I have to agree with this.

[@pw1045]

Yooo this was awesome! 🔥

[@zaydmohammed6805]

I'm so happy whenever someone who's really good at math confirms that they're a gamer. Its awesome to see people share more than one of your interests

[@AnakinSkywalker-zq6lm]

The first time I learned calculus I watched a 12h vid and speed ran Saxons. I do not regret it. I would even go as far as recommending it

[@InfiniteQuest86]

The Dover books are just great. Everyone should pick them up no matter what. At an average of $5 per book, even if you open it once and learn nothing, it's still worth it.

[@TheMathSorcerer]

I know they are so cheap it’s awesome.

[@Collin0]

now this is a speedrun bless up brother

[@TheMathSorcerer]

❤️

[@ronaldjorgensen6839]

i need to see this again after i year and i read some more of on hand books then shopping list

[@vajrapaniom7410]

TMS, may I ask where you get the original old copies? Ebay or some dedicated store?

[@TheMathSorcerer]

ebay, amazon, abebooks, etc

[@ronaldjorgensen6839]

TRY APPLIED VECTER ANALSYS THROUGH LAZER BALISTICS IN THE GRAVITY VOID

[@gmcenroe]

Thanks for sharing a part of your collection. I have compared Stewart's Calculus editions to Calculus Early Transcendentals by Briggs, et al. Briggs book might be a better book in my opinion for what it's worth as it contains more examples and illustrations to bring home the theory. Both books are very expensive as usual for textbooks, but Briggs is less expensive. Briggs also has more answers to the exercises for those who wish to check their work.

[@elliottslamovich5067]

I know it's difficult to rank books based on content, but could you do a video ranking books by smell? thanks.

[@VadimKiselev1982]

Thanks a lot! Great video! How many lives does it need to study all these books?

[@kumarsumitmathsaddicted1536]

HELLO SIR, PLEASE REVIEW SOME GOOD INDIAN BOOKS LIKE ALGEBRA BY RAM JI LAL ETC.

[@markusmcgee]

I know the video is old but...wow...I remember some of these books. I think I'm going to hunt down a few of these if they're still publishing. JSUMS

[@serrajav]

Hello Sir, I wonder if you have heard about the book Dead Reckoning: Calculating Without Instruments by Ronald Doerfler. Would love to hear your thoughts about that one

[@SaidThoughts]

You should begin a Twitch channel since you enjoy games. One way to keep the experience a learning one is that you could play the game, and setup a system to where if you mess up in the game you're penalized and must complete a problem for each mistake made.

[@sgt.briskee9313]

POV, your looking for a chad that left time stamps for each book.

[@Andresseus]

I used to crush on this girl named Katherine in middle school. Our school divided our grade levels into 3 groups. For example, 6th grade was (Team 6-1) for students who were likely to be successful, (Team 6-2) for the average students, and (Team 6-3), my team, the students who struggled or spoke mainly in Spanish. She was in Team 6-1, and she was in the Math-lete Club so she was super smart. She was in Track, Cross Country, volleyball, and just all my weaknesses in one girl but I just couldn't relate with her on any subject, so we never became that acquainted. I was in to skateboarding and boy things, and she was already thinking about life, fitness, studying, listening to country music and all. Well anyway, I looked her up the other day and she is now a counselor at a school, she reads children's books, and raffles them on her facebook page, lives in a quiet suburb, engaged to some dude we went to high school with that sells real estate. I mean, that's nice and all, but I really thought she'd pursue something in the STEM field. I wonder what changed. In retrospect, now would've been a better time for us to have met. Today, I'd likely show her my math book collection, maybe go for a 5k, but I doubt those things still interests her.

[@nicholascroixet8089]

?

[@Andresseus]

@@nicholascroixet8089 !!!

[@benjiusofficial]

Dang, this is exactly my experience. Like, my class was also divided in 6th grade into 'smart kids' and 'troublesome kids' and I had a crush on a girl in the smart class. Funny how similar disparate phenomena bear striking resemblance to each other. Synchronicity do be crazy.

[@Andresseus]

@@benjiusofficial I'm glad it's a common experience haha Our middle school separated everyone all the way up until 8th grade. Cringe Fact: I remember I stole $20 from my dad because I wanted to get her something for Valentine's Day. I ended up just giving her the twenty bucks haha

[@hermansims2296]

I would love to put together an episode like this but a list of online/electronic resources used by the generation from the edge of the 21st century. I'm old enough to have only used books since the P.C. was invented when I was a teen trained on our TRASH80. That being said, I embrace the 21st Century and attempt to use only electronic formats, such as your videos, for my current, late ag, direction of study. As such, I would like some assistance with finding a list of electronic resources to complement your books. Wouldn't that be a good resource for today's students? Which, hopefully, will always include me.

[@hermansims2296]

"...late age, direction ..." [correction].

[@doogus1395]

Gotta love that used book smell ;-)

[@AlongtheRiverLife]

Great video! I am looking and buying textbooks to go back and learn what I learned 35 years ago.

[@TheMathSorcerer]

That sounds like fun:)

[@xyzct]

Dover. Buy Dover paperbacks.

[@fra2025]

fantastic glance

[@lane1313]

Do you feel that some of these books are "outdated"? I feel like if there's any field that would stay static throughout time, it'd be math. However I also know over time new methods of solving equations and better ways of solving problems are invented, so looking at "A first course in calculus" which was written in 1986 I'd be worried that some of the material I read in there would be different from taking a modern day actual course or class in calculus.

[@pushkarnagpure2357]

Plz review mathematical analysis by zorich

[@someguydoesmath319]

Currently chewing through Ian Macdonalds “Symmetric Functions and Hall Polynomials” it’s a wildly fun time

[@kumarsumitmathsaddicted1536]

HELLO PROFESSOR WHENEVER I WILL COME TO USA THEN I WILL DEFINITELY MEET YOU. FROM INDIA.

[@alexbedoian]

10:58 was insane

[@TheMathSorcerer]

LOL!!

[@pushkarnagpure2357]

Wonderful video...thanks

[@erniesulovic4734]

Personally i never resonated with any Shaums books, altho i had several. Because I am moving to Europe, i threw out so many of my maths, physics, chemistry, biology, biochemistry, genetics etc text books. I had over 110 maths text books alone. It broke my heart throwing out so many to minimise the weight of what I am taking with me. One of my favourite maths books is the one by a Russian guy called Advanced Maths for Engineers......it's packed away so don't remember the details. Even tho i threw out a lot of text books, i do have from the good old internet days of torrents, I downloaded a zip file with maths text books and when i unzipped it, it had over 5, 000 maths text books yet I am like you, where i prefer to physically hold and smell them :-) Printing them out or even some of them would cost an absolute fortune lol

[@devd_rx]

can u send me the torrent link?

[@erniesulovic4734]

@@devd_rx Mate, im going back 15+ years ago

[@xyzct]

You can build a lovely mathematics library, relatively inexpensively, from Dover books.

[@TheMathSorcerer]

👍👍

[@kayqueelson1761]

I'm a math student and I also like to finish books. I'm almost finishing the book "Elementos de Algebra" (Elements of Algebra), from Arnaldo Garcia and Yves Lequain. Soon I will begin Real Analysis by Elon Lages.

[@haythamalsaleh4541]

Hello! Thank you for the insightful videos as always. Quick question. What book would you recommend for a first course in differential geometry, and what topics would I need to have mastered to attempt this book. Thank you for your help !!

[@cherubling]

What do you think of Mathematics and its History by John Stillwell?

[@WhallonJesse]

I've never been great at math so before returning to college I took myself from fractions to -pre-calc in 4 years. I can definitely tell how it changed my brain. I got my butt kicked in Calc 1, it just didn't make any sense to me now matter what I did. I would study and do all the work (80 hours a week just in Calc) Never got past it. What would you recommend to understand it?

[@AbhishekYadav-if5dy]

How do u remember all these content ?

[@shaneyaw4542]

Absolute treasure!

[@rogerl6212]

Thanks for the video.

[@john2426]

Love it...ThanX

[@karar5387]

Great...

[@王超-n4j8s]

No book on differential geometry?

[@TheMathSorcerer]

No I didn't happen to grab one. I have a few though:)