Getting Started With Mathematics

[@royalfinest]

As a person who has all the ebook copies, heres my recommendation: 1. Prealgebra and arithmetic - Elementary and Intermediate Algebra by Larson and Hostetler 2. Algebra (college, intermediate, basic etc) - use Blitzer’s exclusively. Best algebra books out there. 3. Precalculus - either by Sullivan’s or Stewart’s. Both equally good. My personal choice is Stewart’s 4. Calculus - Use Thomas’ exclusively. This book has slightly more breadth and depth compared to Stewart’s Hope this can help you save money 😊

[@celiskurtis]

So even if I literally didn't know anything. I would get a grasp of the basics by learning these books?

[@royalfinest]

@@celiskurtis Yes. Just follow that chronological order. But stay longer at algebra. Strong algebra is needed for smooth sailing into precalculus and calculus or else you will just wasting lots of time and resources going back and forth. Good luck.

[@celiskurtis]

@@royalfinest Hello, thanks for the reply. When I say "don't know anything", I mean it wholeheartedly. I've seen some of the videos on this channel. When the professor says beginner level, he always means at college level, or even high-school. In that case, I would be a suoer-beginner. I study at a college level now. But I don't even know basic middle school math. I only know how to add, subtract, multiply and divide. Sorry for the long comment. I'm just really afraid of mathematics. Even though I am very much interested in it. Thanks for all the book recommendations.

[@royalfinest]

@@celiskurtis All the books I mentioned cover almost everything you need to know about Maths in formal educational sense. Very powerful books. Dont worry. You wont miss anything with those books, except perhaps slightly lacking in Geometry parts

[@celiskurtis]

@@royalfinest I know I have already thanked you. But, Thank you again.

[@soubruno]

For Brazilian folks (or anyone who speaks Portuguese) who like me don't have much time to go through various books, I recommend going with "Pré-Cálculo: Operações, Equações, Funções e Trigonometria", written by Francisco Magalhães Gomes. In it, the author starts from a very low mathematical level. There are also tons of problems and you can find on the Internet a PDF file with the answers to every single one of them.

[@CarlosEstudado]

Valeu man

[@leusuzuki763]

Obrigado.

[@luizcarvalho7597]

valeu!

[@joelentrup6658]

Please do a video of learning physics from start to finish.

[@Eroge.Bebita]

Michael Sullivan has two options for precalculus: 'College Algebra and Trigonometry' and 'Precalculus'. They both have the same number of chapters and content but, on the trigometry section, the former emphasizes the right triangle approach while the other one is focused on the unit circle approach.

[@whitb62]

The Blitzer College Algebra Essentials is an incredible text. I worked through all the chapter summaries while prepping for Calculus after not having any math courses for 6+ years. It really helped solidify my algebra knowledge. Excellent book if anyone is curious. The Blitzer Precalculus Essentials is great as well.

[@eh597]

I agree, I used that book during my college algebra functions. How did you do in calculus? I’m thinking of dipping my toes after being away from math for 3 years.

[@douglasstrother6584]

"Mathematics is difficult, even for mathematicians." ~ Reinhold Böhme, quoted in "Vector Calculus" (2nd Edition) by Marsden & Tromba.

[@cosmicwakes6443]

Do a video on books for geometry for beginners. Geometry doesn't get enough love.

[@Danilio.]

Exactly, he should make a dedicated video on the many types of geometry, such as Trigonometry, Differential Geometry & my favorite, Topology.

[@ussdfiant]

I am working my way through Elementary Geometry for College Students by Koeberlein. I’ve got the solutions manual and the great DVDs taught by Dana Mosely. In my opinion you’d be hard pressed to find a more complete beginner geometry sequence.

[@cosmicwakes6443]

@@ussdfiant Thank you.

[@Douchemaster_McChest]

Axiomatic Geometry is fun too. Basically it is just the study of the differences between Euclidean Geometry, Hyperbolic Geometry, Spherical Geometry and Neutral Geometries all based on whether or not The Parallel Postulate is interpreted differently (Euclidean, Hyperbolic, Spherical) or not at all (neutral geometries).

[@dylanplumley280]

I just got by with a C in college algebra. I need to become better at math to achieve my goals. It is essential that I do.

[@syfx1485]

I'm currently a 2nd year undergrad student, and the question I've been wanting to ask the most is: How can you *maintain* your curiosity towards subjects? I did sometimes get curious about what I learn in school, wanting to explore more until it makes sense to me. And I find those are the moments where I learn the best and are the most enjoyable, everything just felt frictionless and learning genuinely felt more interesting than games, social media, etc. But those moments are always very short, like a short burst of energy, and after an hour or two I just go back to my usual lazy self.

[@Apuryo]

u gotta just take it one book at a time or one course at a time. Once I had diff eq, proofs, statistical inference and computer science algorithms in one semester. You just have to schedule when ur gonna do which chapters and do them on time. there's a lot of math out there, but u gotta complete the pre requisites adequately. you can't jump into differential geometry without vector calculus for example

[@HarshAiree]

I did all of it from G tewani's "CENGAGE" set of 5 books consisting of Trigonometry, calculus, algebra , Coordinate geometry and vector 3D at advanced level. Although prerequisite is you should know maths till grade 10 at a good level

[@incognito3405-b2x]

Hi Math Sorcerer! It would be interesting if you could do a review of the UK A-level Math and Further Math syllabus, and offer your comparison to US high school and college-level courses. I'm studying in the UK and like to read math textbooks, often from your reccomendations with US-based students in mind - so it's always interesting to note the differences in timing and order we learn things, and the names which concepts go by. For example I'm studying linear algebra alongside applied calc (but they're not separate courses, all under the umbrella of Further Maths), and we were taught Cramer's rule to find the inverse of a matrix and not the classic Gaussian elimination method, though the textbook doesn't call these methods by their common names. Love your videos :)

[@ailone5722]

I am interested as well

[@anoopverma1965]

I have Beginning and Intermediate Algebra by Miller, O'Neill and Hyde, Precalculus by Stewart, another Precalculus by Sullivan, Calculus by Stewart, another book on Calculus by Thomas and one more by Anton. Currently studying Precalculus by Stewart.

[@Fadedlight7281]

For the algebra and trigonometry section which book did you use?how is precalculus by Sullivan? Is it described briefly which one is better to gain a more in depth knowledge (basic)?

[@Loots1]

honestly the best place to start is youtube in my opinion, once you start getting use to problem solving and how to read math, then its good to go to the textbook, but thats just what worked for me, i watch your channel, patrickjmt, organic chem tutor, alex nidden, michael pen, valerie hower, daniel an, integral4you, prime newtons, blackpenredpen, krista king, nakia rimmer, brian mclogan, anil kumar, krista hands, mike the mathematician, asher roberts, to name a few

[@surrealistidealist]

I highly recommend Warner & Costenoble's Finite Mathematics and Applied Calculus. It gives a really broad overview of pre-calc and calc in an order that beginners can appreciate. Larson also has an interesting beginners book called "Calculus I with Precalculus", which introduces the precalc concepts as they arise when being Calculus. Sheldon Axler also has some great precalc books that focus more on explanations better than any other books I've seen. Even more than Blitzer! Axler even includes a solutions manual within the main text itself!

[@fullc0de]

Thank you for the detailed suggestions!

[@surrealistidealist]

@@fullc0de My pleasure!

[@toony966]

thanks! i am actually working through Brief Applied Calculus right now!

[@Pichelinou]

Could you make a video about books on math history ? I've heard there's a book about how they came up with calculus

[@mikayileliyev4905]

Thank you so much! I really appreciate your help. It helps me a lot as a parent, who is not a mathmagician, to help my son. He is in 8 grade, finished 8 grade math on Khan Academy, and started Algebra 1 (30 percent, on Khan Ac). It is still September, and he has a year ahead. I want to buy an Algebra book to study parallel to Algebra 1 (Khan Ac). It is challenging for me to choose a book because I think the book should be just the right one. The question is what is "the right Algebra 1 book", for those who only finished 1/3 of Algebra 1 on Khan Academy?

[@bog6106]

I just ordered Modern Physics by Ralph A. Llewellyn and Paul A. Tipler (2002, Hardcover) and Brief Applied Calculus by Geoffrey C Berresford 5th edition. Thanks for the suggestions. I look forward to checking them out

[@rahulsubramanian6545]

Everyday guide to personal math library.

[@Vibe77Guy]

Does it do a better job with orders of operations regarding the translation from implicit to explicit notation? The viral confusion of trying to apply the middle school mnemonics to implicit notation could be eliminated with a better foundation in the implicit/explicit notation differences. My 1960s edition of Intermediate Algebra For Colleges has a short, but important explanation of factors and coefficients in implicit statements that probably needs to be stressed a bit more today. This comment could possibly apply to your calculator video, as the lack of implicit operations capability in most calculators is part of the "viral video" misunderstandings.

[@maagu4779]

I get all my books from a second hand store like Savers! Get books that you like for, now and some for later.

[@sicilianotoronto]

There is no trig in my calc course, so I'll be getting the Berresford book, thank you!

[@physicsExp]

привет. задача круг диаметром 10 набрасывают наугад на плоскость в клетку сторона квадрата равна 1. в каких пределах лежит значение длин отрезков внутри круга

[@P90Camper]

What is the main difference between Blitzer "Intermediate Algebra for College Students" and the one in this video "College Algebra Essentials"? Do you recommend one over the other? Thank you.

[@brun3536]

You might find your answer at 4:30 and 4:54

[@P90Camper]

@@brun3536 Thank you for your reply. I was talking about the book he recommends in his "The Best High School Math books" in which he recommends a different Algebra Blitzer book called "Intermediate Algebra for College Students" which is different from Angle book. In short, which Blitzer book - "College Algebra Essentials" or "Intermediate Algebra for College Students" Thanks again.

[@brun3536]

​@@P90Camper I understand now. I ended up doing a bit of research earlier today. I've found that each of Blitzer's textbooks is suited to people at different stages along their algebra learning path. Here's the list from beginner to advanced level: 1. Introductory Algebra for College Students This book assumes that you have very little prior knowledge of algebra, introducing you to basic concepts and driving them home to ensure you are confident applying them. 2. Intermediate Algebra for College Students Builds upon the material from Introductory Algebra and further strengthens your grasp of the core concepts while introducing slightly more complex topics (factoring, rational expressions and the like). I've used this one, and it was great! 3. College Algbera This book assumes you have a solid understanding of intermediate algebra and delves into more advanced topics like functions, trigonometry, conic sections and more. It is a fitting preparation for many college STEM courses IMO. 4. College Algebra Essentials As the name suggests, it's a streamlined version of College Algebra. It would be ideal for students who need to have the core concepts introduced to them but who don't wish/need to delve deeply into them. Still a great book though. The general consensus (which I agree with) is that Blitzer's books are some of, if not the best, for learning algebra! I would recommend picking up a copy that seems right for you from your library or online if available. If the material is well-known or too challenging, go up or down a book to find which best suits your current knowledge level and future goals. I hope that helps! Best of luck with your learning journey!

[@P90Camper]

@@brun3536 WOW thank you for this information - it is truly helpful! I very much appreciate you taking the time to explain all this - so helpful. Cheers!

[@adamwalker8173]

Hi Mr. Math Sorcerer, can you please recommend a excellent book for fractions. I feel like I can’t start on these books on this video until i get good at fractions. I’m at the the very basic level and struggle to learn them. Thank you

[@fullc0de]

This isn't a book, but check out Math Antics here on You Tube. He has excellent beginner math videos, including videos about fractions. Math with Mr. J also has a good fractions playlist on You Tube.

[@adamwalker8173]

@@fullc0de Thanks, I’ll check it out!

[@kevenhagy1383]

Aritmética Baldor

[@nayltyara3162]

Деми-Деми-Демидович, борис Палыч. Прекрасный математик, советский педагог, в дифференциальном исчислении он бог, я тысячи решил этих чертовых примеров, и теперь я шарю и шарю хорошо. Да, есть железо в яйцах у советских инженеров. Офигеть у вас там все книги цветные, с большим количеством картинок, у нас в России в основном это советские учебники, причем там практические нет цветных учебников, и картинки просто так не кидают, они куда проще в оформлении. Но прикольно.

[@xy101]

Thanks! Great content, excellent advice😊

[@TaufiqCandra]

Halo, I just started my journey to taught math myself. Any recommendations to keep studying hours a day? How to have this kind of dedication?

[@baestrosity1233]

Math sorcerer. Im not great at math, probably have an about average aptitude for it, but i was wondering about your opinion on the financial upsides of learning math with no college degree. I assume its one of the more useful "hard skills" one could have trying to make it with no degree, do you have experience with this?

[@jasonwilliams6041]

Can you talk about textbooks by focus such as computation, application, and proof based books also how each relates to the other? Is it necessary to buy application based mathematics books for finance and computer science if I already have proof based mathematics books for the prerequisite subjects? Thank you for your efforts to bring education to the masses!

[@eswyatt]

Why the redundancy of the "Brief Calculus" book? You need to hop into the Stewart-level book while trig is fresh in your mind.

[@chucknology_]

Stewart's calculus is my nightmare. That book made my life hell for a good 2 years 😅

[@mindcache5650]

Books are obviously nice to have and a good learning resource. But I prefer to go to sources that have read these and compressed the essentials, like Schaum or Videos . Nothing beats practice of course . Mathematics is infinite . You could spend 8 decades but just scratch the surface.

[@GrumpyMcFrog]

What does "Early Transcendentals" mean with regard to Calculus teaching or textbooks? I have a Stewart Calculus textbook (5e), but it's subtitled "Early Transcendentals". So how is that one going to be different from the one you're showing here? Thanks.

[@kaansenmanat7991]

Thank you for the video. Can you make a similar video for geometry?

[@saadalikhan3031]

What I find a bit weird about your recommendations is that things like availability and Price doesnt seem to be a factor. Almost the opposite

[@stephenzaccardelli5863]

4.55 reminded me of the nirvana cover 😮maybe the baby will sue the author. Got any good books on maths in music 🎶 🎵?

[@Jaggu-0000]

I'm having my board exam in like 20 days and there's a lot I still don't understand. Do you have any recommendations for coordinate geometry with the formula applications and various cases where you kind of have to analyze which formula is applicable? I just went through the algebra book pdf you recommended and it helped me revise a lot.

[@kani_sama]

I think at this stage you can build a Jenga tower of maths books

[@walterht8083]

Do you know some books that are Geometry + Trogonometry all in the same book?

[@blackcitadel37]

Would it be better to start with that book or the Elementary Algebra one you showed in the "learn math start to finish part 2" video?

[@postsupremacy]

great picks!!

[@314calls]

Can you make a video on advanced math books like several complex variables and algebraic geometry?

[@AaravBhardwaj-li4ms]

Sir I am from India and preparing for jee advanced which is a competitive exam . So please tell me is these books help me .

[@noam65]

People will think me old fashioned, but I think learning how to use trig tables doesn't seem to be taught anymore. We are one CME away from going old school, remember that. Knowing how to use tables and where to find them is important. The same can be said for slide rules. We were taught to use them 40 years ago, even though we all had scientific calculators.

[@thomasblackwell9507]

Still have my slide rule and book of logs.

[@programaths]

Context. We learned to use the tables and rulers in primary school because they were late to the party. And the use of tables was widespread. If you wanted to know your train schedule, you also had to look at timetables. Also, use of various indexes. I still have a book where the index gives you the page number, the quadrant, and the sub-quadrant. Most people can't use the book!!! It's like a puzzle for them. Even more stupid, there are "random" numbers on the border of the pages...those indicate where the map continues 😅 Even looking up in a dictionary is challenging for people. I saw people "browse" the dictionary and explained how they could get very close to the correct page if they knew their alphabet and could think of Scrabble. As a kid, I would always start in the middle, then try to take the right half and split until I had a few pages to work with. The teacher would then explain how to be faster by considering that some letters have few words and that you can try to guess where that word would be. It sounds stupid, but it was an essential skill in primary school. The teacher always pointed to the dictionary and asked to read aloud ^^ And sometimes, during read-aloud, the teacher would stop us and ask us what we read. Then, ask about difficult words and ask to use the dictionary. So the teacher didn't have to waste too much time. If you were too slow to look up, you would be taught repeatedly, and the dictionary would become your close friend. The very same with tables ^^ Fast forward to today, kids don't exercise those skills, and there were many instances I had to guide people to use train timetables! They do like kids, reading from the first panel to the last 🤦🏻‍♂️ And when you step away, it's indicated if it's workdays or weekends. Then, getting closer, you see the hours in bold. Then, in smaller prints, you have the minutes. And people are confused because they don't string that information together. They miss the bigger picture. Even recently, I saw students challenged by z-score tables. Even synoptic tables with rain per m² are harsh to read... But even worse, synoptic maps! You would think that a highly abstracted map would help since your only concern is finding the start and end stations and then following the lines to find the suitable exchanges. Nope, too difficult ^^ So, it's expected that most people can't use schematics. All the people who had to use log and trigonometric tables and the dictionary and the atlas were given a precious gift!

[@noam65]

@@programaths I agree. Something is being lost in the mass rush toward the age of general artificial intelligence.

[@programaths]

​@@noam65More General Artificial Intelligence will make Intelligence less general 😂

[@alexdee781]

And then what would be the next step?

[@ignacioa4114]

¿Nunca has encontrado un libro de matemática que huela mal?

[@hirtreyvys8866]

Do we have equivalent in french ?

[@HarshAiree]

Are there any channels on chemistry like this on youtube?!.?

[@MasculinityHighlights]

Aahh , finally Start the Inevitable

[@alevyts3523]

Please don't be mad at me, but there's also linear algebra, abstract algebra, functional analysis, mathematical logic, complex analysis, differential and integral equations, series, tensor analysis, calculus of variations and optimal control, differential geometry, probability theory, random processes, mathematical statistics, number theory, game theory, numerical analysis, special functions, operations research, topology, number theory, mathematical physics, optimization, mathematical modeling, discrete mathematics, etc.

[@mariamfall809]

The title says "for getting started". You don't start from "game theory"

[@iliyajafari9680]

Bro these books are for beginners 😂

[@bigbao9843]

What’s your point lol. He said getting started.

[@Invincible_Force]

Fine I quit.

[@IskzenMisishuw]

Don't. He literally wrote the entire thing taught in Mathematics.( not really) ​@@Invincible_Force

[@julianer1818]

Should i just quit my semester, refurbish my ground knowledge which is definitely missing compaed to my peers. Im studying mech. engineerig and atm it looks like i will repeat a year anyway. I cant solve week 3 exercises and we are already in week 25 of the yearsemester. Can somebody give me any advice please🙏

[@michaelfuxeklint4909]

What would you do if you lived outside, with a closed library and seeing linear algebra as art on a building where you're not allowed to come in ?😶😶

[@CarlosEstudado]

THANK YOU!!!!!

[@Zaguzah]

THE BOOK WHIFF IS BACK!

[@Gabriel-dh8xl]

I wanna restart again

[@notagain3732]

Great

[@WFHermans]

First book should be about logic.

[@psikeyhackr6914]

Is there a reason to learn mathematics? LOL I was a straight A math student in high school. Math was fun, Then. I went to college for electrical engineering. If the math wasn't about EE I didn't give a damn about it. Why aren't there books: Mathematics Applied to....

[@abdelrahmanayman8415]

Hi math sorcerer my name is abdelrahman I'm from the middle east i wanted to learn more about matrices but there're no libraries around me that sell mathematical books so if you please can tell me what e books would you encourage me to download

[@simeonbanner6204]

That's considered easy? Hyperbolic cones? Oh man....

[@---id4dc]

these books are way too expensive

[@rusi6219]

Library Genesis

[@---id4dc]

I already use it but i want to feel the books, screens distract me @@rusi6219

[@bigbao9843]

eBay cheap af

[@ussdfiant]

Abebooks

[@celiskurtis]

@@rusi6219 Thank you. I know it's immoral, but our family is not financially stable. My monthly allowance is maximum 9 dollars. So, Library Genesis and such is all I have.

[@ale_develop]

Its so funny how he smells the books hahaha

[@HadesTimer]

I would start with Khan Academy. Especially before I spent nearly $400 on math books.

[@smileitsfreeanditwillmakes4121]

Truth be told he has recommended so many different books for beginner or start here. " oh start here this book is amazing" 3 weeks later "oh this is best book for beginners just smell it" choice is really not infinite. If choice was infinite nothing would be done. Because you could never have all the information you want to make a choice. So choice like everything else is finite. Which means only 1 thing people. You are not sentient there is no freel will and you are in a prison for your mind. Tips clues on how to get out are greatly appreciated?

[@whisperingocean.]

bro what

[@smileitsfreeanditwillmakes4121]

@@whisperingocean. choice is an illusion

[@stephenzaccardelli5863]

There's no way out