Definitely

Just getting ready to ask the same question. If working as many problems is a key to learning math, well, knowing that the correct answers to all problems exist might encourage those learning to work more math. This should be a criteria for all math textbooks.

it is Fermat who created and initiated this tradition

@@taopaille-paille4992 What an insight!

@@standowner6979 Haha, And in all seriousness, I think exercises without solutions are helpful. At the start of my studies in maths I was always looking at the solutions because I felt too stupid and not able to find solutions, but then I started to really work and try to solve them, and it is what made me progress a lot. In the Boubarki books, you ll find a lot of exercise without solutions, so instead of Fermat maybe this tradition has to do with the Bourbaki

👍

Thanks

When you are studying Algebra Two does it matter how old the book is and for what state standards the book was written to satisfy? I am refering to the algebra that we learn in America in highschool in the k-12 education system?

That's awesome!

Never Being Can you contact with me I want to ask something about Mathematics.

Well the guy does have a PhD in mathematics The average iq of such a person is 150. That sets you in the top 0.1% for intelligence.

@@robertmorrison1657 Thats just not true

@@MonkeyDLuffy-gd6se What is the average iq for someone with a PhD in Mathematics?

@@robertmorrison1657 Ive got no statistics on that but very unlikely to be 150.

@@MonkeyDLuffy-gd6se If my statistics are not accurate, it would be keen for the both of us to find some research on the matter.

portugues?

@@vpambs1pt eu falo espanhol (sou chileno), mas entendo um poquinho

@@technoguyx Engracado ^^

Grande el Lima viejo

@@vpambs1pt Sim, existe vida inteligente que fala português.

Awesome!

do u have any other recommendation for books?

@@forsaken7161Baby Rudin chapters 1-7 and then Munkres Analysis on Manifolds for the multivariable stuff . Those are what I used for my advanced calc courses, but Rudin in particular is extremely dense and difficult to understand if you are new to the subject. So maybe Abotts Understanding Analysis would also be good to have for that material, but his treatment of metric spaces is kind of brief in my opinion

@@tsshamoo2376 thank u for your quick reply. I will have a look into it

Yes it reads really well doesn't it!!

Understanding analysis by abbott

@@froglet827 Tried it and Tao is million times better

Thank you

Definitely. I have seen some of this videos here on KZfaq, where people interview him. He seems like a really good person👍👍👍

I really think he is, he is one of the good guys and a brilliant mathematician 👍

❤️

Oh cool I should check that out

There are many better books on Measure Theory than Tao’s one. Bartle’s book and Cohn’s book are way better.

@@davidgendron6955 You are a mathematician???????????????????

A math student, yes.

@@davidgendron6955 So, you are not enough level to remark

Thank you! I took lots of classes in college. I did self study too but college yes😄

And yes that is him and good idea thank you!!

I still don't have the Courant books. I looked at them years ago but don't own a copy. So the first edition is the way to go?

@@TheMathSorcerer Times have changed and the amount of material taught in Calculus courses has greatly increased. Furthermore, publishing technology now allows easy inclusion of graphs and other instructive illustrations into mathematics texts. I have found that these illustrations are helpful in clarifying concepts and in avoiding misconceptions. The two volume Courant calculus texts were delightful reads in their day. [I am referring to the first English edition, not the far more massive second edition with Fritz John. There may have been an earlier version in German, as was the case with Hilbert and Courant's Mathematical Physics two volume set.] Another delightful read was Higher Mathematics for Students of Chemistry and Physics by Mellor. I read this book in my mid-teens and could hardly put it down. Some of the notation has since changed and a more contemporary version of Mellor's approach was published in the UK about 30 years ago, but it lacked the magic of Mellor. By contemporary standards, I'd have to recommend standards such as Thomas' text or Bruce Edwards' text because of the many thousands of illustrations. These tomes are about 1200 pages each. I also can recommend the three volume calculus set by Jerry Marsden. There is also a three volume set on solutions to the problems, making it a six volume set. [Jerry Marsden passed away in 2010, and CalTech, where he taught, made his text available for free online. Jerry was a great mathematician, a genuinely nice person, and very generous in sending out reprints during the snail mail era.] Gilbert Strang's three Volume calculus book is also worthwhile. At a more challenging level, Paul Bamberg and Shlomo Sternberg's two volume set, Mathematics for Students of Physics and Engineering, is worth considering, but not intended to be a relaxing read, but rather a challenging read, but a worthwhile tome for your library. There are many other worthwhile texts, and this is but a few that come to mind. There are others that are also worthwhile.

Thank you thank you!!! Good suggestion s will look into these😄

Have you tried libgen.is? It is a huge library (obviously not legal but ...) where you can download a lot of math books!

Yes book hoarder for sure! I have sooo many bookshelves.

@@TheMathSorcerer same

@@gilloon9964 Who ? Never heard of him

download the Slader app and I thought you can find almost all the solutions there.

@@iankovski what's the full name of the app? i only see apps for drawing

Thank you!

Nice hehe,I should check out the Wade book👍

Haha

Saracino's book is the easiest I think. It's not perfect but it is easier than many others😄

@@TheMathSorcerer Thanks

Probably a bit late, but I love Aluffi's book.

Nice!

@@TheMathSorcerer just receive my math package from amazon:) cant wait to read it

Yeah definitely , if you have even some slight proof writing skills you can get a lot from this based on your background

thank you!

I like apostols mathematical analysis

Great suggestion. Cheers.

👍

At least in India, the Hindustan Book agency version is much chepaer than the Springer counterpart (they're the exact same book, published jointly in a sense).

Oh wow very cool!!

Ya it's hard for everyone, I have a playlist on advanced calculus check it out 👍

actually I find the rudin analysis I extremely unreadable , some of his argument doesn't logically follows , hence the chain of reasoning is broken into pieces and I found this problem among most the accessible books for me

Sure👍

looking forward to it , THANKSSS

Will check it out thank you 😄

Ok!

wow what an intense jump from highschool, so hardcore!

@@TheMathSorcerer its the standard in Europe

I think that would be difficult, you could but you would not understand a lot of it. I say try it and just expect not to understand, it's ok not too and you will probably understand some of the stuff😀😀

lol

👍

Why would analysis be useful in applied mathatic

@@robertmorrison1657 it is not a question of usefulness.

Fitzpatrick and also buck

@@TheMathSorcerer piskunov?

Im a little late here, but for me Pugh's Real Mathematical Analysis is still the best. It goes REALLY far at times(man the topology chapter is wonderful for a beginner math student, its SO good) and it has very good problems and the exposition is top notch.

Yeah I have not seen a solutions book unfortunately. Maybe I will try or rather, I really really should make a playlist and work out some solutions from this book!

Thanks, I really enjoy Tao's writing style, it just sad that I have very few exposure to proofs yet so it kind of unsettling not knowing the right answer.

Some proof writing experience is required , that would be better👍

@@TheMathSorcerer thx a lot :)

This book is more advanced than spivak. Spivak is awesome though, it's cool you actually get to use it for a class, very lucky!!

The Math Sorcerer I see, I'm asking because the material and content-wise, Spivak's book seems very straightforward (maybe it's because I have taken Discrete Math course before), but the problems seem very difficult. I am starting in fall, but the course is infamous for being the hardest first year course. I have to take this to switch to pure mathematics program. People who take this course say that its is far more difficult than discrete math. Is this an exaggeration or should I be worried?

@@ericryu599 eyo, how did the course go?

@@aayusharya6899 I'm still taking the course. It's a year long course. We're on integrals right now. I'd say by far, Chapter 7 on "Three Hard Theorems" is the hardest chapter. Spivak actually proves the three threorems in Chapter 8 just because it uses the notion of infimum and supremum. In my opinion, it's sort of a mix between dry read and casual read. But to be fair, there are no analysis books that are 'fun' per se (at least none that I've encountered).

Spivak is a deceivingly difficult book if you tackle all the problems. It’s an excellent book though!

solid book:D

@@TheMathSorcerer sounds even better by the minute.

Oh interesting, thank you !!

@@TheMathSorcerer Yeah, he used to work at the math department in my school. You may come to like it. He has a unique sense of humor.

Awesome

wow!!!

I know that happens a lot

@@TheMathSorcerer Does anyone know if there is a specific reason to do that? Or are authors just lazy? (just kidding) I find it difficult to study a book without any feedback on whether my solutions work

I think they do it on purpose because they want students to figure the questions out. Also lots of teachers assign those problems as homework so they don't provide answers. This is just my theory.

for sure, super gifted

thank you! it's an awesome book:)

You can, but I recommend multivariable first.

talent comes into it but also a lot of work

😮

yup:)

Which part(1 or 2) is slightly better

@@1stlullaby484 I don't have the part 2 yet

@@TheMathSorcerer which part did you find better (even if it's in slightest)

Ya that is a rigorous text!

That is the question!