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.
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.
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!
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.
My collection of maths books increased tenfold since I started watching this channel, but that's because I had almost nothing at the start (some pocket-size reference, I think).
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.
I used Kreyszig in my math-physics course when I was a junior at UC Berkeley in 1972. It was a good book and was very readable and helpful to understand other textbooks such as Mathematical Physics by E. Butkov. It is very helpful to have several different textbooks to get a slightly different explanation of new math and physics topics.
I bought mine in Spanish while an electrical engineering student in 1982! An ignorant person threw it in the garbage when I left Honduras, then I bought it again in the USA this time in english.
These are great. I am a self learner and started self studying math a few years back. I had been out of school for a long time so I went back over basic algebra and started learning for mastery from there. I have know learned Calc 1,2 and 3 and am now trying to learn linear algebra. One thing that really helps for all the problems that don't have answers in the back is AI. It will help you break down problems and make sure you do the work right. Plus you can ask questions about the problems you are solving and it helps you get deeper insights.
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.
Loove your work, it's the best! I'm surprised you focus so much on answered problems. Personally I found it an apt advancement when entering higher math (as a self-student) NOT to have the answers. I feel it makes solving the exercise feel like actually doing math, instead of doing a quiz or a test (which doesn't, I feel personally, feel like doing math that much). Keep it up if you please, you are inspiring me to open a math bookshop in Berlin as soon as possible (and of course to do math as a self-student, which feels, from the inside, like THE ONLY way to do math :D ) Dave, CPH DK
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.
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
Must try : BS Grewal’s higher engineering mathematics * a lil advanced but worth your next video! Actually, Erwin Kreyzig’s text has a lot of steps in between cut out rather presumed that the reader would understand how he arrived at the results somehow. The vector calculus section could’ve been better although it sheds light on “curvature” and “torsion” unlike other books. Many of the solutions by Indian authors are also written in terms of Γ(n) and β(x,y) functions as and when required(B.S. Grewal does just that). Some phrases like “speed of a curve” are rarely used / found any much
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 bought the james stewart book, hoping i might be able to understand how calculus works. But turns out its all about tricks and techniques to solve mathematical questions. Its collecting dust somewhere in my book self. Only useful if you dont care about understanding, and want to pass college exams somehow.
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.
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.
I am good at math from my childhood. Till 2 year before, I was busy with my computer science subjects and I had enough knowledge in math, I was satisfied but after corona I got some time since I had left my private work for time being, I have again started to work on math. What happened this time, i feel there is lot of problem in mathematics and somewhere it confused me. So, there is a need to develop your own book in your way instead to run away towards books and teacher. In mathematics, after understanding of scientific math, I don't think there is a need of book. There is a need to improve your strength in my mind. This is just my views for math what I have shared. Anyway, I am confident that I will remove my confusion since I have to work on it for life time now. Thanks.
I am from India i want to learn calculus at good level to learn quantum mechanics but there many books not available in India if available they are way too expensive what should i do?
Hi,! Professor, could you please advise the learning order of math textbooks from undergraduates to graduates? That'd be nice , if you could recommend a reading list. Thanks
Excuse me, can you give a list of prompts for chatgpt to yrain youraelf in math? Self directed learning in chatgpt is actuallu a game changer for me, who must understand the reasoning and underlying concepts to retain a concept.
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
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?
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?
@@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,
those high-fi looking books don't do much good. For those who are already good in maths know their way. For those who aren't comfortable with maths needs to get more basic insight into it. So, instead of jumping on Advance Calculus or Linear Algebra or Group Theory, give your best shot to nurture quantitative aptitude in you. This will real insight and functioning of number. Along with that, start with basics of geometry, preferrably what they ask in CAT or GMAT. Once you are done with it, now you have firm base to build the structure. BUT purely following these video advices and all nonsense they post will make look Maths more fancy than useful. You'll feel like you are learning it but you'll never get to know the soul of it.
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..
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
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.
I am turning 508 but still teaching maths
That's awesome man !!
I have the same dreams - to teach/do Mathematics all my life
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!
Title: Self-teaching for an Undergraduate Degree in Math.
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...
My collection of maths books increased tenfold since I started watching this channel, but that's because I had almost nothing at the start (some pocket-size reference, I think).
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.
I used Kreyszig in my math-physics course when I was a junior at UC Berkeley in 1972. It was a good book and was very readable and helpful to understand other textbooks such as Mathematical Physics by E. Butkov. It is very helpful to have several different textbooks to get a slightly different explanation of new math and physics topics.
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 love these videos! These are some powerful books. Spivak is my favorite one.
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!
I bought mine in Spanish while an electrical engineering student in 1982! An ignorant person threw it in the garbage when I left Honduras, then I bought it again in the USA this time in english.
These are great. I am a self learner and started self studying math a few years back. I had been out of school for a long time so I went back over basic algebra and started learning for mastery from there. I have know learned Calc 1,2 and 3 and am now trying to learn linear algebra. One thing that really helps for all the problems that don't have answers in the back is AI. It will help you break down problems and make sure you do the work right. Plus you can ask questions about the problems you are solving and it helps you get deeper insights.
One Kreysig book use for four years in collage. All you need to know about Enginerring mathmatic in one book.
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...
Loove your work, it's the best!
I'm surprised you focus so much on answered problems. Personally I found it an apt advancement when entering higher math (as a self-student) NOT to have the answers. I feel it makes solving the exercise feel like actually doing math, instead of doing a quiz or a test (which doesn't, I feel personally, feel like doing math that much).
Keep it up if you please, you are inspiring me to open a math bookshop in Berlin as soon as possible (and of course to do math as a self-student, which feels, from the inside, like THE ONLY way to do math :D )
Dave, CPH DK
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.
Thank you, Sorcerer, for your esteemed recommendations.
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
Must try : BS Grewal’s higher engineering mathematics * a lil advanced but worth your next video!
Actually, Erwin Kreyzig’s text has a lot of steps in between cut out rather presumed that the reader would understand how he arrived at the results somehow. The vector calculus section could’ve been better although it sheds light on “curvature” and “torsion” unlike other books. Many of the solutions by Indian authors are also written in terms of Γ(n) and β(x,y) functions as and when required(B.S. Grewal does just that). Some phrases like “speed of a curve” are rarely used / found any much
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! ❤
3Q (
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.
I actually don't like Stewart, but everybody's using it so quite a nice pick
I have every single one of those books...great collection!
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. ❤
I bought the james stewart book, hoping i might be able to understand how calculus works. But turns out its all about tricks and techniques to solve mathematical questions. Its collecting dust somewhere in my book self. Only useful if you dont care about understanding, and want to pass college exams somehow.
Thomas And Finney Calculus
Spivek's book is still fairly expensive. I have Stewart, Chartrand, and Kryszing
What's your opinion about Tomo Apostol's books Calculus I and II? I'm learning from them.
Calculus one and two var ?
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.
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.
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.
I am good at math from my childhood.
Till 2 year before, I was busy with my computer science subjects and I had enough knowledge in math, I was satisfied but after corona I got some time since I had left my private work for time being, I have again started to work on math.
What happened this time, i feel there is lot of problem in mathematics and somewhere it confused me.
So, there is a need to develop your own book in your way instead to run away towards books and teacher.
In mathematics, after understanding of scientific math, I don't think there is a need of book.
There is a need to improve your strength in my mind.
This is just my views for math what I have shared.
Anyway, I am confident that I will remove my confusion since I have to work on it for life time now.
Thanks.
I wanna know if I learn all this math then would I get some work
Do you think it is boring to deal with tautological statements such as "singles are not married" when dealing with mathematics?
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
Infinite Powers by Strogatz is an epic book about math. Like everyday calculus, it’s just a book. Not a textbook.
Larson has an amazing Calculus book, lots of awesome problems
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?
I am from India i want to learn calculus at good level to learn quantum mechanics but there many books not available in India if available they are way too expensive what should i do?
did they change anything in the 2nd edition and onwards? - the book of proofs. 1st edition is hard to find here.
I have precalculus by james stewart pdf version and calculus Indian edition by same distinguished authors
Hi,! Professor, could you please advise the learning order of math textbooks from undergraduates to graduates? That'd be nice , if you could recommend a reading list. Thanks
Excuse me, can you give a list of prompts for chatgpt to yrain youraelf in math? Self directed learning in chatgpt is actuallu a game changer for me, who must understand the reasoning and underlying concepts to retain a concept.
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
Between Everyday Calculus and Infinite Powers by Strogatz, which one do you think is the coolest?
Do you have Books of measure and integration for self study ?
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?
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?
Need help, need recommendation for best 2-3 books to pass Linear algebra 2 and for vector calculus, friendly explanations for self study. Thanks.
Thank you for sharing, but I want all those books for free
I've found a free pdf version of the advanced engineering math book online
Can i study from aerodynamics for Dummies book i like (for Dummies
book) it's fun & can u make review of (for Dummies) stem books
does anyone know if brilliant is a good place to learn maths? I got it after seeing the ad for the 500th time.
Make e review of mathematics books (for grade 11 and 12 used widely in india) by R. S Aggarwal
And the second book by R. D. Sharma
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,
And here I was wondering who could have forgotten half of their book in the park yesterday...
The book by Kreyzsig is the worst I have studied. The rest of your list are awesome
very good
Income math c library. Special thanks
my calculator would loved these 😍
I ❤math
I can see me getting everyday calculus
"the proof of the theorem is left to the student as an exercise." 😁😁
those high-fi looking books don't do much good. For those who are already good in maths know their way. For those who aren't comfortable with maths needs to get more basic insight into it. So, instead of jumping on Advance Calculus or Linear Algebra or Group Theory, give your best shot to nurture quantitative aptitude in you. This will real insight and functioning of number. Along with that, start with basics of geometry, preferrably what they ask in CAT or GMAT. Once you are done with it, now you have firm base to build the structure. BUT purely following these video advices and all nonsense they post will make look Maths more fancy than useful. You'll feel like you are learning it but you'll never get to know the soul of it.
Kreyszig!
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
What makes a self taught mathematician…
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
Which is the best book of calculus in the world , you think!🫡