Books For Getting Started With Mathematics
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- เผยแพร่เมื่อ 4 ส.ค. 2024
- In this video I will show you four books that you can use to get started with mathematics. All of these books are different and are written with different audiences in mind. The books are Elementary Algebra by Sullivan, Struve, and Mazzarella, Intermediate Algebra by Leithold, Algebra and Trigonometry by Sullivan, and Basic Mathematics by Lang.
Here are the books:
Elementary Algebra amzn.to/3U5v8OY or amzn.to/3L90Gzt
Intermediate Algebra amzn.to/3DguAjh
Algebra and Trigonometry amzn.to/3d6hLgN
Basic Mathematics amzn.to/3xdPkUU
(these are my affiliate links)
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Thank you:)
Both Sullivan and Stewart Precalculus actually do have some challenging exercises, even though most are just plug and chug or routine.
I agree. Both are excellent introductory texts which contain mostly ‘drill’ exercises which are essential for acquiring the vital mathematical skills needed for higher maths.
I got my minor in Mathematics in college, and I never felt like I really grasped some concepts super well, so these book reviews are super helpful! I want to strengthen my skills in math 😌
Thank you for this review. I am re-learning math after many years away, so these reviews are helpful. I have the Lang book on my list, but I was lucky enough to find an older edition of the Sullivan book at a used book shop for $10! And it is spiral bound for easy maneuvering on my desk. Thank you so much for the recommendations!
2 I'd recommend for the UK viewers are engineering maths by either Bird or Stroud. They do the foundation stuff as well as more advanced such as Laplace etc depending on which you get. Only really the more advanced statistics they are missing out on.
Really good explanations, worked examples and answers
I love your channel - thank you so much for making these.
This is the kind of math book review I've been waiting for. I'm glad to see reviews of elementary and intermediate algebra books. I found that at least some study of those helped me immensely in my college algebra course at school, especially elementary algebra. I have the 9th edition of Sullivan's. I bought it for 7.09 U.S.D. and that too saved me from bad grades on my assignments! I'll look into getting that book from Lang. Thanks for this vid 🙂
Edit: It's Sullivan's Algebra and trig book that I bought, a used copy that helped get me through my math course.
😀
where did you get that book? Would love to find a book that cheap
I don't know what it is about algebra & trig books but I have a special love for them because they teach the fundamentals which are vital in learning and understanding higher level math. Although I am now further along in my mathematical journey, I'm very fond of them and I still reference them when I wanna practice proving trig identities.
You may give spherical trigonometry a try.
Thanks for your continuous content! Watching your videos always motivates me a bit :)
My copy of Basic Mathematics actually just came in today, fresh from Springer. I did a full calculus series in college 20 years ago, but time has not been kind to my math skills and they have fallen embarrassingly low. Am hoping to work through first this and then Langs "Short Calculus" to get back up to snuff!
Absolutely amazing, intuitive way to get the concepts, rather than just rote-learn. So good.
I love all these book commentary videos. The more the better. You could do more extended commentary for each book, just thoughts or impressions, I’ll never get bored.
Yeah usually when it’s just one book I go more into the book. Thank you!!!
Awesome!!! Thanks for the info
Thank you isn't enough to say for the content you're providing 🥺🥺
You're a life saver ❤
Funny thing is I asked this a few days ago and you went the extra step for your viewers by making a video. Truly appreciated! Also what geometry book would you recommend that is great for graph visualization?
Love your channel! Keep it up!
The book titled “Precalculus Mathematics in a Nutshell” by Simmons is another excellent text for beginners
I always enjoy your book reviews and frequently buy those recommended.
Awesome, thank you!
I'd have included "Naive Set Theory" by Halmos as a foundation.
And I admit to being a fan of Stewart's Calculus texts, having been a student of Stewart while he was writing his first, involving his students plentifully in its development.
Thanks, Man! These are great!
Welcome!
Great video. Have you encountered the British maths syllabus progression ? If so how do you feel it compares with the US one ? Do you think students can easily transition between the two ?
Thank you very much!
you need to knock this off my math library is getting huge because of you!
Nice thumbnail & video 👍
Kudos to anyone who can write a great math text...especially one that is good for self study. Truly outstanding is one that is completely error free! I have encountered math texts with a few errors in them (usually 1st editions, but sometimes later ones as well). It happens, but can be frustrating...particularly if some answers in the back are wrong 🤦♂️
Thank you!
Math sorcerer, great video and review. Do you have any recommendation for one that wants to dive deep in probability?
I haven't seen "Basic Mathematics" but from reading an old copy of single-variable calculus by Lang I can endorse any Lang book enthusiastically.
Math Sorcerer, one book I like is 'More Precisely - The math you need to do philosophy " by Eric Steinhart. Discusses ideas in a pretty lucid way.
Cool
I would recommend the textbooks of Leonhard Euler, in particular his Analysis of the Infinite which was the first calculus textbook.
Reason 1: The style is lucid.
Reason 2: The notation is essentially free of subscripts, this is cumbersome to experts but for the student it is very powerful because it teaches efficient "internal bookkeeping."
Reason 3: It teaches research mindset. The material is often presented in the form of problems, Euler attacks these problems tirelessly, obtaining the most general solution to every problem given.
Conclusion: This combination of lucidity, flexibility of notation, problem solving, computational complexity in the sense of applying algebraic laws for dozens upon dozens of lines, working with many variables simultaneously, and obtaining the most general solution to the given problem, all of these components work together to give the student a remarkable mathematical education.
Edit: I should also recommend Euler's Algebra. I haven't studied this work but it is supposed to cover all of elementary algebra even covering topics like quadratic forms.
I think Euler wrote it in another language. Could you tell me what translation do you prefer?
Nice one bro
thank you so much
Thanks
Also. Keep in mind that I still don’t think that there is a good path between introductory maths and pre-Calc. There isn’t a lot of resources regarding that particular whole, but if you can make it to precalc you can make it to calculus
Thanx dude
Welcome 👍
Lang's book helped me understand functions and mappings. The are very well explained.
I don't know if you have Brink's "a first year of college mathematics", 1946. It covers many topics that a student needs to refresh his knowledge.
So many of the older books are good. I have some books from the 1950s and 1960s and I wonder how hard they were to typeset before computers
@@raul0ca
I agree. The last chapter of this book is about spherical trigonometry. You would wonder how the 3D drawings had been printed. 😁
Hi Maths Sourcerer, would you consider College Algebra by Bob Blitzer as well - or are the algebra books you just recommendedabout the same in terms of what you can gain from them? (I just bought the algebra book by Blitzer although it was quite hard to find a cheap copy)
yes that is an EXCELLENT book!
Greetings Mr. Professor,
Good one.. Meaningful.. Thanks.. Take Care..
With regards,
RanjithJoseph (R.J)
I had Linear Algebra 1-3 and Calculus 1-3 but a long time ago (+40 years). Surprising how much I have forgotten at those levels and lower.
Yeah we tend to forget! It comes back quick though once you start refreshing stuff:)
serge lang seems like one of the rare gems who really care about you
Hello.. I have started relearning math according to your books recommendation in video "Learn Mathematics from Start to Finish" ... Presently I am on first book by Susanna Epp.... So please tell me where would this Sarge Lang book would fit in this book list??
wow sir u r best
thank you!
Professor, Please do a video on Computer Science, books to get started in Cs, specifically CS engineering
Pleaseeeee!!!
Up up up
SICP- Structure and interpretation of Computer Programs.
One of the great books of CS of all time.
I have a bunch of CS books so yeah I will try thank you!
He is not a CS professor
Yes 🙌
thanks for such an informative video could u suggest me a book to learn matrices
How is calculus and analytic geometry by thomas and finney?
Is it good for beginners?
Hi, can you recommend maths books for school students(standard 5 to standard 10) so as to prepare good foundations for higher studies in mathematics? Thank you.
You should check out the art of problem solving books. That's what I'm using now.
In India almost all the topics that u shown chapter in books we covered in Indian college, I like your videos too much love from India, can u suggest some most difficult books at college level.
Please never stop giving us an overview of how each book smells.
Well firstly, thank you for every single amazing thing that you have done!
Secondly, any recommendations for tensor ( specially that used in relativity) & topology books or lecture series. And for sure are there any topological tensor books recommended?????
There is one called introduction to tensor products on banach spaces, by Ryan. I don't have it though.
Books on smooth manifolds usually do this. So like differential geometry books that focus on manifolds. Lee's Intro to Smooth Manifolds I'd HUGE but it does cover all that stuff. After that Riemannian geometry is going to be like the math behind relativity stuff. So if you want to like learn relativity for mathematicians there are books on that but for physicists I don't really know the best books.
@@TheMathSorcerer thank you so much just keep going, you are doing well!! With many many thanks
@@Taylor-rx4yb well , thank you so so so so so much.
@@Taylor-rx4yb is there any other books that coverd the the topic & stuff
Hello Math Wizard. I am currently in 9th grade, and I am taking a Algebra 2 + Trig course this year. I was wondering if you knew of any books you would recommend to me, to study with along side with my current textbook?
ya the Algebra and Trigonometry bok by Sullivan book from this video would work, also precalculus by Stewart is a solid choice(it also contains some calculus too).
Sir one doubt if you have 10 problem if you do all the problem at ones or one by one
Math Sorcerer, I have a different sort of question for you if you don't mind.
I am in a creative writing class, and no matter how much I seem to try, I can't get a hundred percent on my poems (I get like 95-96). In my math class, this sort of thing clearly is a non-issue. Do you have any tips on how to maintain my sanity when I seem to be getting arbitrarily marked down on things?
That happened to me also in a technical writing class. At the end I got an A. I guess remember that no matter what those grades will give you an A. It’s still fun to try for the 100 though!
Hello. Can you suggest a book from where I can learn how to factorize two variable quadratic polynomials?
From where we can get instructor edition of books?
I would argue that proofs is the way an adult should enter maths. Kids can’t really handle logic by the time they can they’ve already matured to the point that they can already do Calc.
But logic will straighten out a lot of the falicies that people tend to fall into like (a+b)^2 = a^2 + b^2.
As a 30-something adult who gave up on math in grade 10 and now attempting to relearn I would like to inform you that your logic question might as well be Egyptian hieroglyphs.
How does one enter math with this gibberish?
@@mbogucki1 beginner algebra and/or logic is a good place to start. Logic is probably slightly easier to get into as the text book isn’t nearly as expensive.
But algebra also doesn’t assume you know much which is helpful in the beginning.
How do you archive your papers that you write in him ?
Hey do you have intermidiate algebra by AoPs pdf
Is there much difference between Sullivan Alg & Trig 6th edition and 8th edition?
Hi Thanks for the video
I am following your course on Set proofs. Very good!
My goal is to learn abstract algebra on my own to a graduate level, being able to understand an author of Lang level.
However I would also like to be able to follow a calculus then analysis math major undergraduate courses.
So I wonder whether Math Basics is enough as a pre-calculus book, after which I would be able to pick the Spivak or Apostol calculus, for instance.
Thanks again
I think it helps to have a precalc book:)
@@TheMathSorcerer Which pre-calc book you think prepares better for a calculus teached in the Apostol or Spivak level?
the precalculus by James Stewart is also a good textbook
Yes!! I was looking at that yesterday actually!
Hi, I’m looking for a math book for my 3 years old. What do you recommend for parent to home school a toddler? Thanks 🙏
Sorry if you have already talked about this book but what is your opinions on Calculus by Spivak? It is sort of a book on Analysis for beginners.
great book, worth buying! The only downside is the price. It's hard to get it super cheap.
Nevermind i found your video about this.
Wow, 900 pages just to study high school algebra, and trig. That seems like an overkill (eventhough atleast 1/3 of it are probably just solutions). Wonder whether people actually go over all of the content. Cool video btw, keep it up! Btw I have noticed that on the cover of the elementary algebra book, there is that black label that says: "This work is protected by US copyright laws and is for instructors' use only" Does this mean it is illegal to purchase that version of that book as a student? Like obviously you won't probably be fined or sentenced to some jail time, but if a professor at college or university saw you to use this book, whould he consider it as cheating and whould he "take some action". I am just curious :)
Ever since 6th grade I have never passed a math class comfortably and yet here I am listening to this old lad yap about math. I'm either dumb or too dumb.
Brother you and I are on the same boat
Right away checked them on Amazon just to find out the pricing is only 75,000 INR for the Elementary Algebra itself . Same as my entire 4 semesters in undergrad(Govt College). Insane.
Off top, but can someone tell why gradients of constrain functions must be linearly independent (mathematical programming)?
can you add/create a road map series/playlist please? Also at what point you suggest using calculators, or software like sage?
^to progress in math. I am absolutely falling in love with learning math again, and it's filling in so many spaces in education
Professor, please make a video on how much topics of Algebra we need to cover for earnings from Math from sites like Photomath etcs
Oh Interesting thank you!
@@TheMathSorcerer yess please ♥️
Sir I want to ask you.Why did you like math?
Hey professor, what is the books 📚 need for self studying Mathematics from 0 till expert please? Thank 😊 .
I too want to find such books.
@@AryanMaxim then please 🙏 kindly give my comment a like 👍! Thank you
I have Leithold's book on me. Working on it rn.
wow nice
time to start,
1- Basic Mathematics
2- Elementary Algebra
3- Algebra and Trigonometry
4- Intermediate Algebra
Books of Serge Lang are great for beginners. But very hard to find cheap books
Bro make a kindergarten to math wizard (like you) self study books. In order!
Sir please you can recommend some books for basic to advance for Mathematics Olympiad
Can anyone tell me a book just like the elementary algebra?? please
sir how we can buy this basic maths yellow colour
HELLO SIR, NAMASTE🙏FROM INDIA
SIR PLEASE TELL US SOME BEST BOOKS ON ALGEBRAIC GEOMETERY...
Any book by mozzarella has got to be good.
Oh wow that me LOL so hard!
@@TheMathSorcerer 😁😂
Does any of these books contain differentiation & integration? I would like to learn that subject too. Which book contains this? Ps, nice vids✌🏻
And the book for of sullivan in your link is the 11th edition is this good as well?
In case it wasn’t clear to viewers, Jaime Escalante was a real Calculus teacher of notoriety at Garfield High. The aside on Escalante vis-a-vis Leithold could be misconstrued to conclude that Escalante was a fictional representation for the film.
from where you buy used books
Usually amazon. I got the basic mathematics book on Amazon new.
Why can’t high school math classes use inspiring textbooks like these? My sons’ textbooks are not only uninspiring, they’re also quite deficient in their presentation of both the concepts and illustrative examples.
Have you read any of the Art of Problem Solving books?
not yet, I will check them out!
What do you recommend for British students? 😅
It is near impossible to find the Louis leithold book now unless you want to pay 200+ dollars. Really sad because the more i learn about the man the more i want to learn from his work.
🚀🚀
Is Trigonometry by Gelfand good?
Anything written by Gelfand is at least very interesting.
Amazing, he focus on concept and provide solid exercises. After gelfand try plain trigonometry by Loney which is harder.
@@darkeyes9902 Yeah Thanks. Luckily I have that Loney book also.
My Alg II/Trig in highschool class contains the same material as the first book
Cool
I see a lot of topology in the background guys...this weekend just got better ;)
Textbooks in math are the foundation and fuel of your self-study, and without them you’re sooner or later lost unless you’re highly gifted and your IQ is beyond 160 so you can learn anything from just listening the lectures at university.
Published by Springer Verlag = it's going to be good & difficult.
haha so true
It doesn’t cover matrices extensively unfortunarley 😢
Namely matrix tranformations
Proofs in Lang’s version of basic algebra?? Sheesh
I have zero knowledge in math but I'm do interested in physics
Can i get this books as PDF? Sir
Cuz i foreign student
try to find them on a torrent file, this is kind of illegal so it is your responsibility
All these books are expensive as hell, one of the is more than $700 😂
Yeah the Leithold one is ridiculous. The others you might be able to find used cheaper(with the exception of basic mathematics).
One of these books is not like the others
It smells weird because those brown patches are probably mold.
There is also a lot of people that cannot learn math no matter what ...I remember teaching College Algebra ( at two different Universities ) and I remember that there were loads of students at both schools who were completely out to lunch...All math learning presupposes some intelligence ( and Work)...
This is predicated on the idea that you already have some math knowledge. Nothing about these books "gets you started" IMO.
Why are there no true beginner books for adults?
As long as you know arithmetic, you can probably read the elementary algebra book
@@ay-qe9pk So are there arithmetic books for adults? 🤔
I mean I stopped with math at Grade 10 with something like 38%. I haven't touched math in 25 years, I have been trying to relearn it over the last year and fuck me if I know how to do long division let alone algebra.
@@mbogucki1 any prealgebra book should do the work then
Old books end up smelling like leather, caramel and dried tobacco leaves.