5.5 Math Books For Self Made Mathematicians
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- čas přidán 27. 06. 2024
- In this video I will give you 5.5 books, in order from the most basic to the most advanced, for people who want to learn mathematics on their own. I hope this helps.
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Title: Self-teaching for an Undergraduate Degree in Math.
I have Stewart (5E), Spivak, and Buck. All excellent books...part of my collection of several hundred mathematics books. Rushing toward age 70, but doing mathematics daily and teaching it to others is still part of my life.
Awesome!!
I have Spivak's Calculus, calculus solution manual, and calculus on manifolds. Excellent books that helped me in school. I want to read his Intro to differential geometry and physics for mathematicians, once I'm not spending so much time on my business.
Stewart calculus: well, it is really enjoyable
A transition to advanced mathematics: I might use brain more and get used to all the proofs
Spivak Calculus: I gonna change my major to Engineering
I have 3 of these books, and others very similar. Been self-studying for a while, but I often skim through these books and I’m astonished at just how much mathematics is contained in them. It’s like a whole universe! I’ve been leisurely going through the Stewart book, and even the voluminous content of that one is mind boggling. I have many math books that I’m still not quite ready to open, but surely inching my way towards them. I can’t imagine gazing upon your vast library. Truly amazing!
My collection of math books is quadrupled since watching your channel. Don’t forget there is a companion answer guide for Spivak.
Dear FSM can I relate to this. I've spent so much money on maths books since discovering this channel. I mean, I already had a lot of books, but just about every time TMS here features a book I don't have, I feel compelled to rush out and buy a copy if I can find it for a reasonable price.
@@PhillipRhodes Do you sniff the older books too? Just something about the scent of an antique book.
@@guidichris - for the most part, no. That's one weird quirk that I never picked up. That said, I have plenty of weird quirks of my own, I'm sure...
Just bought advanced engineering mathematics 7th edition from a thrift store. $3 dollars plus 20% off for instructor discount.
wow awesome!!!!
Great price!!! Great book!
Spivak calculus was by far the hardest, Stewart calculus was an absolute joy. Spivak, like you mentioned the proofs was definitely not the easiest.
I did my calculus sequence using Cochran Briggs and Lyle, I thought it was pretty decent honestly. I’m also not a huge math connoisseur, so just know my take is based on personal experience as well as how good my teacher was.
Love your energy so much! I only have Stewart from Calculus I & II, which I took in college, but I have been thinking of studying mathematics at university, and this has inspired me to look into self-studying more seriously in the meantime. Thank you so much for the recommendations! ❤
I love these videos! These are some powerful books. Spivak is my favorite one.
Thank you, Sorcerer, for your esteemed recommendations.
The James Stewart book is so well written that I actually used it as a reference book for Advanced Calculus. A lot of the proofs that I did in Advanced Calculus such as the Mean Value Theorem and Rolle's Theorem is in the Stewart book. The calculus proofs that are in the Stewart book are written with much more detail and nice diagrams to show the reader what is being proved.
A bit off topic for this video but I think you'll really enjoy the book Gödel's proof if you haven't read it.
What about self learning engineering math? I would have appreciated teachers showing us how this math correlates to the real world applications. I love how you walk through these books and have detailed explanations on who can use them right away and what you need to know before diving in.
@@sarahadkins2540 Stroud's engineering math is very good...
I discovered Precalculus mathematics for calculus on your channel when shopping for a precalculus book. It cost only $14, and it arrived in perfect condition.
I basically agree with your list. I was expecting some dedicated book on linear algebra, it's such a powerful tool.
Totally agree!
Stewart's 5th is evergreen. ❤
One Kreysig book use for four years in collage. All you need to know about Enginerring mathmatic in one book.
Stewart's book is pretty good. I've taught out of it and have my quibbles. The exercises tend to be either too easy or too hard for students. Also their treatment of limits often assumes the limits exist. So the question will say " find the limit" and the solution goes, tghe limit is this limit, which is that limit, which is that limit, which is 5, so the limit is 5. But then you get questions where you do the same thing and you get a limit that doesn't exist, but the original limit does.
The book by Buck is amazing. i wish it were still in print.
I've browsed the book by Fernandez at a bookstore but i couldn't get into it. I guess it has its audience but I am much more of a "give me the theorems and proofs stated very correctly and formally" kind of guy.
And here I was wondering who could have forgotten half of their book in the park yesterday...
I actually don't like Stewart, but everybody's using it so quite a nice pick
Get vid as always. Let's not forget about an awesome proof writing book titled "How to Prove it" by Daniel Velleman. Been studying it every day and have done all the exercises so far...currently on chapter 4 on relations.Another great one is Book of Proof by Richard Hammock.
Need help, need recommendation for best 2-3 books to pass Linear algebra 2 and for vector calculus, friendly explanations for self study. Thanks.
Math Sorcerer, which one would be better suited for a guy like me (only high school diploma) for self-study, who has an understanding of algebra and basic trig, was never really good at math, but would like to study physics / engineering in the future - Stewart's Calculus, Thomas' calculus or Calculus by Larson?
Master, can you recommend any books or tips for complex analysis pls 🙏🏻
Complex variables by Saff and Snider, and if it's too expensive, the one by Brown/Churchill is worth it. Also the Schaum's is very good!
Nah don't listen to the sorcerer in this one. Asmar & Grafakos' is the best on the subject for undergraduates.
Thank you for sharing, but I want all those books for free
Spivek's book is still fairly expensive. I have Stewart, Chartrand, and Kryszing
Did you struggle to learn how to translate to and from the propositional forms of first order logic? I've worked with this for years, and I still get stuck. Recommendations?
Hey Math Sorcerer!
Should I relearn calc 1-2 with spivak or do I continue with calc 3. I studied calc1-2 from paul’s online math notes and leithold.
Do both:)
@@TheMathSorcererRight, thanks. At the same time? or what should i do first?
Do you think it is boring to deal with tautological statements such as "singles are not married" when dealing with mathematics?
did they change anything in the 2nd edition and onwards? - the book of proofs. 1st edition is hard to find here.
The book by Kreyzsig is the worst I have studied. The rest of your list are awesome
Do you have any books similar to Sears and Zemanskis for physics that would be useful for self studying?
physics for scientists and engineers with modern physics by knight, and Giancoli's physics book
@@highviewbarbell tyty
Do you have Books of measure and integration for self study ?
Hi,I’ve bought your calculus 1 course like one year ago I think.I’ve checked today on Udemy but i can’t find no more the course on my library.
Could you help me please
I can see me getting everyday calculus
my calculator would loved these 😍
"the proof of the theorem is left to the student as an exercise." 😁😁
does anyone know if brilliant is a good place to learn maths? I got it after seeing the ad for the 500th time.
I've found a free pdf version of the advanced engineering math book online
Hello Sir, sir how to become expert in mathematics
buy his udemy courses
@@firstname4337 Sir course name please
@@Shivam_yadav96.best way to become an expert is to build a strong foundation, go back and study Algebra 2, then Calculus1,2, then Linear Algebra Then proof book, then you can kind of choose, Calc 3, Real analysis, Abstract Algebra,
Here's a math problem, how much would it cost to have your house built in the shape of an integration symbol.?.... and use integration to deduce the answers..
Well
It depends on the materials
In the us way cheaper than in europe
Sniff sniff, hooray!
What math is this, it's from High school student. Theorem 3.1. Let I = {m} be a singleton set. Then we have dd(I; n + 1) = n X k=m+1 ?n k ?
· dd(I; k) · bn−k !
+ ?
n m − 2 ?
· dd(∅; m − 2) · ?dd(∅; n − m + 2) − b n−m+2 ?
+ m−4 X k=0 ?n k ?
· dd(∅; k) · c({m − 1 − k}; n − k) !
(3.1) where c(I; n) denotes the number of permutations in Snwith an initial ascent and with double descent set I.
Proof. To construct a permutation w ∈ Sn+1with a double descent at m, we first consider possible values of w−1(n + 1). Because there is a double descent at m, we have wm−1> wm> wm+1, so w−1(n + 1) / ∈ {m, m + 1} because all other wi< n + 1. Also, w−1(n + 1) 6= m − 2; otherwise, there would be a double