I just took calc 1 after almost a decade of no math. It’s true, there’s so much math in college that’s often taken for granted (my school doesn’t offer anything below calc 1). Precalc is also hard because it’s crammed information that helps you with complex problems later on but without the “why” aspect of it (which is only later answered in analysis way later). People underestimate how much math is thousands of years of condensed knowledge into a few semesters. Thx for these videos
It's good to have at least one of these "remedial" math books on hand. You never know when some crazy little detail might creep up in what you're doing and you'll be banging your head against the wall because you can't remember what the hell that one little thing was and you can't find it anywhere except in one of these books. It happens, man.
Trigonometric identities were my bread and butter when I was taking courses about signals and systems. One of the basic operations is multiplexing two sinusoids, and knowing how to rewrite sinusoidal products is absolutely necessary to make the calculus workable.
Math Sorcerer, wow, I really appreciate the enthusiasm and effort you put into your channel. Thanks for reviewing all of these books from your collection. Would love to see you delve deeper into the math that Knuth presents in his first 3 volumes. That's the hardest part to grasp for those here who have good computer science backgrounds but have probably only taken a long a discrete mathematics a long time ago as part of the pre-rec for a CS degree. Right now, I'm digging into these tomes after many years on the bookshelf (thanks to you MS!) and realize I have to do a lot of self-study to do in the math areas.
recently got gifted a calculus book. it's way thinner than i expected! probably because i'm in the philippines and this book was intended for students on a budget but it's four hundred pages compared to the stewart books at our library which were really thick like thousand-page books. still have to finish studying algebra and trigonometry though because i don't get the first few chapters and the exercises
the book is called Differential & Integral Calculus by Feliciano and Uy btw! would love to see your opinion on these books and if their content goes up to the regular thick calclulus books
Hey friend! I’ve got the Stewart and the Blitzer. Full solutions manuals for both as well. Found both on the internet for “just a few dollars”. Interestingly I’m only 2 chapters into Algebra 1 and 1 chapter into Geometry.
went back to my Blitzer 3rd edition I got from community college, NO steps skipped, it's a golden book. 4:00 If you need an even numbered answer, the 3rd edition (they now go up to 8th, but only 7th is hardback, the 8th is paper) supports the TI-8x use, so you can just graph the equation most of the time and get the answers.
Another good college Algebra book is Elementary and Intermediate Algebra by Bittinger, Ellenbogen and Johnson. I have the 2nd edition but it is up to the 5th, probably not much difference given the subject. Not as many color pictures as your example, but I find those distracting to me. I never took algebra in college, I did take a precalculus class at my junior college between 11th and 12th grade and trigonometry in the spring semester in college since I graduated a semester early from high school so I was lined up to start Calculus the following Fall semester. I think I learned a lot of algebra in Calculus that I had forgotten from high school because most of problem solving errors in Calculus are algebraic errors. We didn't even have graphic calculators back then, lol.
I bought 2 Blitzer books: Introductory & intermediate College Algebra and Thinking Mathematically. Thinking Mathematically is basically pre-algebra. I thought it was something else, but its alright. I also bought a book on teaching math because I thought reading about teaching methods would help me understand a subject better. I ordered a Dover book on mathematical puzzles and tricks. I found several Dover recreation math books. These videos on this channel provide name of so many math books I want to read and do the exercises in. Too many books and not enough time. I found 2 different Stewart Calculus books. One said Transcendental. I wasn't sure which one is the proper one for a beginner of calculus or if it was 2 volumes or different editions of the same book.
@@lorax121323. Thanks for clearing that up. I saw a calculus book by Marvin Bittinger that I'm probably going to go through before I try anyone's else calculus book. From what I could see of the it on eBay, Bittinger's calculus book looked a bit more easier than some of the other calculus books. Calculus is going to be hard for me anyway-which why I want to start it. I want the challenge. I think I'd rather have the polynomial functions first.
A bit more than a decade ago I was what most people would say, a 'zero-to-the-left' in algebra and general mathematics, little did I know that after buying (and thoroughly studying it for months) the Blitzer's book, basic and intermediate algebra, and then college algebra, my circumstances would give a U turn. By finishing the first book the difference was already clear. After that I went into electrical engineering college and everything went out just smoothly thanks to these rudiments (yet fundamentals). Must also mention another book that completed the gaps in my basic understanding in maths and for easing my semesters for calculus physics and differential equations, that book was Trigonometry by John Coburn. These books were cheap, bought'em used... but I'm in debt (and eternal gratitude) to all those authors!
Im taking differential equations right now. And I can really tell that my fundamentals are not where id like them to be. I mean I do pretty well, but having mastery over something as simple as fractions just takes you into that upper echelon of Sorcery( pun intended lol). Algebraic manipulation is art, the calculus is the easy part
Thank you for showing these books. I'm self studying maths and knowing what people study in America is really useful, as I'm trying to follow the American education system when it comes to self study maths. I will drill these algebra topics before doing calculus 1.
following the American education system for self-studying math is a great source, but I would point you to an optimized route. Here are some books that The Math Sorcerer has recommended in the past and assume no prior knowledge for math i. Everything You Need to Ace Pre-Algebra and Algebra I in One Big Fat Notebook ii. james stewart algebra and trigonometry iii. james stewart calculus The following books should give you up-to-par to an average American highschooler.
@@ucru Brilliant! Just looked up the 3 books you recommended, they looks great. The Alegbra and Trigonometry book looks very interesting. Thanks for the recommendations, I will try to master all these topics to try and get up to standard.
@@EscPointDev hopefully they helped! :-) remember to take notes, and don't get lazy on the fundamentals! It'd be hard to build upon the foundation if that foundation is unstable.
Excellent books by Stewart: both his _Algebra and Trigonometry_ and _Calculus._ By the way, the same titles by Swokowki are also superb. Larson also has the same titles: They are just a tiny little bit simpler but overall they are almost identical to Stewart's and Swokowski's books. There are two more excellent competitors here: _Thomas' Calculus_ and _Calculus_ by Adam and Essex.
The brazilian translation of Stewart calculus book is much cheaper (he is quite a standard here, though we also have Anton and Thomas). I bought mine 7th edition then for 30 dollars (the 2 volumes the book comes in here), now they are almost 60 dollars, while american is 260 dollars 😱! If you know portuguese this is a bargain LOL.
Math Sorcerer, is it common to be able to do some pretty high-level stuff in intermediate mathematics---say, Laplace transforms---and be totally thrown by some pretty basic algebra material, eg, rational roots theorem? It's pretty humbling
Hello Math Sorcerer, thank you so much for all the dedication and effort you put into making these videos and for giving as a roadmap on how to start self studying math from the very beginning. I've actually bought the newest editions on both of these Stewart's books and the Discrete Math one by Epp. Since I'm from Argentina, these books are normally not available locally so you have to import them. Fortunately for me, I only paid about 50 bucks for each of them (they're all new and the Stewart ones are hard-cover), so lucky me I guess (actually thanks to our government's monetary policies). Hopefully I can finish them in a few months and keep up on learning math. I've also seen that you have a new YT channel on Spanish. If it's ok with you I can stop by on some of these videos to point out some little mistakes so that you can improve your Spanish as well. P. S: tide = marea
@@lorax121323 In my particular case, I was interested in learning Math in English. Therefore, the local textbook market for these books is almost non existent, both new and second-hand. Besides that, there are no locally produced textbooks in Spanish, they are imported from Mexico (at least the Calculus by Stewart one, which is like the only textbook available in Spanish, or at least I'm not able to find any other textbook similar to that one in Spanish). Price between both textbooks is about the same, the only difference is that you can get the Spanish version right away while for importing the one in English I had to wait 45 days to get them. In addition to this, it's not common in Argentina for someone attending college to buy a textbook, usually they are given notes made by their professors, which most likely are based from one of these textbooks, so that's another reason for the local textbook market for being so small.
Greetings Mr.Professor, Thoughts : - Classic Maths Textbooks invokes Passion. - Modern Maths Textbooks looks Informative. Thanks.. Take Care, Professor. With regards, RanjithJoseph (R.J)
please make a video regarding what math books and backgrounds you need to learn before learning stochastic calculus. especially steve shreves two books called stoch calc 1 and stoch calc 2 for finance
By any chance, do you happen to know of any books specifically pertaining to hyperbolic functions? Particularly those with the "lost rigor" of more modern books? I'm perplexed by the exponential definition of such functions.
After I've taken an important college exam and failed totally at math in my country, I discovered math is funny. I've started with Forgotten Algebra, now I've been taking College Algebra and currently, my objective is to build a deep understanding at calculus and learn physics! Many thanks to you for guiding. 💐
In Brazil we don't study don't study Calculus at high school and when I almost half page with anything written like at 11:02, it freaks me out. Wasting of space that could reduce the number of pages and, hence, the price of the book. 😔 I must say that Calculus by James Stewart is very popular in Brazil, although it is not my favorite. The nine edition costs 26 dollars (vol 1) and 23 dollars (vol 2) at Amazon BR. But I need to stress that this book is printed with regular paper and with soft cover
Don’t be deceived by the camera angles!! That Algebra & Trig book is huge. My 5th edition just came in today. It’s great but huge. And it has online tutorials and exercises for more training.
Nice video on three books I own. I agree there is a lot of math there, and it's good to oscillate among them. Another book that is useful and talkative toward understanding is Linear Algebra: Theory and Applications, by Cheney and Kincaid. It's a big, thick book with lots of problems (3,100) and good explanations of the ideas. Calculus and differential equations don't appear in the index, which is good, because an introduction to linear algebra is a pre-calculus subject. So, I recommend adding it to your three-book stack in this video.
I started in college with Math 40, I had to take it twice, then I took a semester with 120 adn trig and had to retake Trig, Got to calc and I took it twice but didn't get through it so my college stopped there. I took a job dong I.T. work, desktop and server support. which I don't do now and hate. Wish I could've gotten through calc and got my engineering degree. I struggled with intergrals and related rates. I couldn't do those problems at all.
But I still see old books are much more better because they have more tough contents like spheric trigonometry course you won't find it in modern books. I believe that the harder problems you deal with and the more you master mathematics and the more time you spend with these problems the more intelligent you become.
In the uk we seem to get solutions to all questions, not just the odd ones. These books seem great though I thought James Stewart was that Hollywood actor from the 60s ?
You mentioned some modern textbooks are less rigorous than older textbooks. I’m interested to know more about what you mean - fewer proofs or less systematic in favor of showing the mechanics of solving?
Sometimes newer books have less proofs and sometimes harder examples are omitted. However a lot of newer books like these have more examples which is good.
It is true that when there are a lot of exercises and if we do them all then we understand the material better, but if there are too much, we have to skip more to be able to go to the interesting next chapter, and at that time we cannot feel to satisfaction that yes, we finished with the chapter, because there are more unsolved exercises left. So maybe the ideal thing would be not too little exercises but not too much either.
Hi Maths Sorcerer, I bought the Blitzer algebra book but confused about what I need to buy to complete the sections - maybe because the book is really for the USA. The intro says that I have to buy a fourth edition for the extra chapters ?!
I need to tell you that this book is exactly what the Texas board of education follows. I'm not sure nation wide but I would assume it does to. It was because of you math sorcerer that I bought it and I was blown away. Every module that we go are on is the exact same as that book. For example if we are working on 3.3 on our module, you can go to 3.3 on this book and it will cover the exact same thing. I bought other books and they don't follow. We currently are using the Jullie Millers college algebra 3rd edition and I will say, it is a ripe off for the price. It's the exact same thing as this book except this one costs 8 bucks average and Julie's is 300 new (120 used). Now, Jullie's old edition are crappy, I own them. They do not follow the modules. My personal review is that Bob blitzers 4th edition=Jullie Miller's 3rd edition for a penny of the price. 👎 For Jullie Miller's 3rd edition. Bob blitzers should sew her lol (not kidding).
this is exactly content like cengage book ( indian book) of clas 11th and 12th ,, this is not loo like college book ,, this is like high school level book of india
I just finished Calc 1. Is it worth going back over my precalc textbook? My precalc grade sucked and before I did very well on the final, my calc 1 grade sucked too (finished with a low B). Or should I just stick to reviewing my calculus textbook at this point?
hii math sorcerer. first of all thanks for making such amazing helpful content for us. i am from india. when i was in my 9th and 10th class, i used to memorise the math problems solutions and could do only simillar pattern of questions. In short my math was not as good as others. but your videos changed my mindset towards math. i started to understand math deeply then devloped my brain to do some of the problems by my own. i am aspiring a engineering entrance [JEE] . The math problems of jee is quite different from the standard maths books available in market. Actually my problem is sometimes i am unable to understand a question and how to start the solution. the questions seems little bit complex. so can suggest me any tips to develop my problem solving skills. My maths background is not so strong and learning maths deeply takes a lot of time, our syllabus is literaly very huge. Learning maths deeply is interesting but when i see the syllabus, i get a headech. i have to finish the syllabus with in time. so plz suggest me some tips that i can gain problem solving skills in limited time. A lot of people suffer in this problem in india , so plz tell where i am lacking? if you read my comment till now, thanks
I've been watching your book review playlist and i noticed there are no differential geometry and differential topology books. Riemannian geometry books aren't covered also. Do you have any reviews on those subjects in mind?
I'm learning calculus now, but I'm having doubts about basic arithmatic. I can do the math, I can get the correct answer, but everything seems more abstract now than when I learnt this stuff in high school. Am I thinking too much that I start to confuse myself?
Have you ever heard of The Open University? If so, I would like to hear your opinion on whether the BSc in math over there is the same as at a regular university. Is it possible to apply to the top mathematics PhD program in the United States as a person who majored in CS for practical reasons and once wanted to be a mathematician? Note: I am not an American, and I did not study in the United States.
@@douglasstrother6584 I took a glance at the geometry book MS has reviewed on the channel. It seemed like the book was significantly easier than mine, which is Russian. Maybe that's a reason? Nevertheless, I'm glad for you)
@@NarynbekGilman We did lots of Construction Proofs, good old straight-edge & compass stuff. I forget what book we used: "Life's Been Good" by Joe Walsh was released that year.
My two cents: Just buy Stewart's Algebra and Trigonometry and it will fill in all your gaps. Stewart's Calculus has no tough problems, which means you should be able solve them easily but... just to make sure you're not doing something wrong it's good to have a solutions manual to check your solutions vs professionally prepared ones. Calculus requires a sound knowledge of elementary algebra and trig, and 99% of people lack such knowledge. So, they are just stumbling through it in a haphazard manner: through solutions manuals, through ready templates, tips, and hints, etc. They should not have such problems. It's not right. They are simply not fully ready. It's like training people who can't skate to play hockey--and they just have a problem with it and fall all the time. My opinion is that remedial courses and precalc courses in college are usually too short, and HS curriculum is ridiculously dumbed down. People often get stuck or just do stuff by templates without any real understanding of what they are really doing.
do you ever remember telling yourself the equal sine has become a verb and there no confusion other than next variable unknown then this idea of confusion itself is a reduced form of chaos max but choas is not a variable often in linear definitions then go in search of choas to define and got lost looking for breadcrumb trail back to flat earth and a simpler time but traveled astro so far out of linear sync that you cound planets from outside in to find the flat earth of young earth in silence still then 37 years of wandering though unorder void and structure later you comment to much in people good work solid linear structures
Any opinions on: - A Discrete Transition to Advanced Mathematics -Understanding Analysis - Apostol's Calculus (do I need that if I understand analysis?) - Linear Algebra Done Right
The last three are great. I don't have the first one you mentioned so I can't comment. Linear Algebra Done Right is an interesting book!! Apostol's Calculus is a wonderful book. Do you need it? Well it's nice to have, although it is expensive. Understanding Analysis is a nice book on Analysis.
If at first you don't succeed, try and try again???? Dude!!! That is SO 20th Century. Now it's "The definition of insanity is trying the same thing over and expecting different results."
I just realized that if you shave your head you literally are Jeff Bezos...also both are good at math (Jeff was a Quantitative Analyst) and both are 🇨🇺 (Jeff Father Miguel) otherwise with the hair you are a modern descendant of Isaac Newton as others have mentioned.
I’ve gotten really into self studying nowadays, and i feel like you motivated me to do that. Watching math books is satisfying in a way.
Awesome!!
Me too!
I just took calc 1 after almost a decade of no math. It’s true, there’s so much math in college that’s often taken for granted (my school doesn’t offer anything below calc 1). Precalc is also hard because it’s crammed information that helps you with complex problems later on but without the “why” aspect of it (which is only later answered in analysis way later). People underestimate how much math is thousands of years of condensed knowledge into a few semesters. Thx for these videos
Eh, my college just started off on analysis. Was not a pleasant experience, especially considering I had no calculus in high school.
It's good to have at least one of these "remedial" math books on hand. You never know when some crazy little detail might creep up in what you're doing and you'll be banging your head against the wall because you can't remember what the hell that one little thing was and you can't find it anywhere except in one of these books. It happens, man.
Trigonometric identities were my bread and butter when I was taking courses about signals and systems. One of the basic operations is multiplexing two sinusoids, and knowing how to rewrite sinusoidal products is absolutely necessary to make the calculus workable.
Thanks to your comment I know what to review when I take that course
Those Stewart books have a ton of math in the more advanced exercises as well. Solutions are readily available online.
Euclidian geometry books might be beneficial for practical mathematics applications, although it is typically not college course.
Euclidean geometry is an eloquent example of axiomatic structure. Even more, it is historically the prototype of the axiomatic approach.
Math Sorcerer, wow, I really appreciate the enthusiasm and effort you put into your channel. Thanks for reviewing all of these books from your collection. Would love to see you delve deeper into the math that Knuth presents in his first 3 volumes. That's the hardest part to grasp for those here who have good computer science backgrounds but have probably only taken a long a discrete mathematics a long time ago as part of the pre-rec for a CS degree. Right now, I'm digging into these tomes after many years on the bookshelf (thanks to you MS!) and realize I have to do a lot of self-study to do in the math areas.
recently got gifted a calculus book. it's way thinner than i expected! probably because i'm in the philippines and this book was intended for students on a budget but it's four hundred pages compared to the stewart books at our library which were really thick like thousand-page books. still have to finish studying algebra and trigonometry though because i don't get the first few chapters and the exercises
the book is called Differential & Integral Calculus by Feliciano and Uy btw! would love to see your opinion on these books and if their content goes up to the regular thick calclulus books
Hey friend! I’ve got the Stewart and the Blitzer. Full solutions manuals for both as well. Found both on the internet for “just a few dollars”. Interestingly I’m only 2 chapters into Algebra 1 and 1 chapter into Geometry.
went back to my Blitzer 3rd edition I got from community college, NO steps skipped, it's a golden book. 4:00 If you need an even numbered answer, the 3rd edition (they now go up to 8th, but only 7th is hardback, the 8th is paper) supports the TI-8x use, so you can just graph the equation most of the time and get the answers.
Another good college Algebra book is Elementary and Intermediate Algebra by Bittinger, Ellenbogen and Johnson. I have the 2nd edition but it is up to the 5th, probably not much difference given the subject. Not as many color pictures as your example, but I find those distracting to me. I never took algebra in college, I did take a precalculus class at my junior college between 11th and 12th grade and trigonometry in the spring semester in college since I graduated a semester early from high school so I was lined up to start Calculus the following Fall semester. I think I learned a lot of algebra in Calculus that I had forgotten from high school because most of problem solving errors in Calculus are algebraic errors. We didn't even have graphic calculators back then, lol.
I bought 2 Blitzer books: Introductory & intermediate College Algebra and Thinking Mathematically. Thinking Mathematically is basically pre-algebra. I thought it was something else, but its alright. I also bought a book on teaching math because I thought reading about teaching methods would help me understand a subject better. I ordered a Dover book on mathematical puzzles and tricks. I found several Dover recreation math books. These videos on this channel provide name of so many math books I want to read and do the exercises in. Too many books and not enough time. I found 2 different Stewart Calculus books. One said Transcendental. I wasn't sure which one is the proper one for a beginner of calculus or if it was 2 volumes or different editions of the same book.
@@lorax121323. Thanks for clearing that up. I saw a calculus book by Marvin Bittinger that I'm probably going to go through before I try anyone's else calculus book. From what I could see of the it on eBay, Bittinger's calculus book looked a bit more easier than some of the other calculus books. Calculus is going to be hard for me anyway-which why I want to start it. I want the challenge. I think I'd rather have the polynomial functions first.
A bit more than a decade ago I was what most people would say, a 'zero-to-the-left' in algebra and general mathematics, little did I know that after buying (and thoroughly studying it for months) the Blitzer's book, basic and intermediate algebra, and then college algebra, my circumstances would give a U turn. By finishing the first book the difference was already clear. After that I went into electrical engineering college and everything went out just smoothly thanks to these rudiments (yet fundamentals). Must also mention another book that completed the gaps in my basic understanding in maths and for easing my semesters for calculus physics and differential equations, that book was Trigonometry by John Coburn. These books were cheap, bought'em used... but I'm in debt (and eternal gratitude) to all those authors!
Im taking differential equations right now. And I can really tell that my fundamentals are not where id like them to be. I mean I do pretty well, but having mastery over something as simple as fractions just takes you into that upper echelon of Sorcery( pun intended lol). Algebraic manipulation is art, the calculus is the easy part
Working through Stewart’s Algebra and Trig book and it’s a step or two above Blitzer in rigor.
🔥
I used the Stewart book in Canada for college level calculus 1, 2 and 3.
Thank you for showing these books. I'm self studying maths and knowing what people study in America is really useful, as I'm trying to follow the American education system when it comes to self study maths. I will drill these algebra topics before doing calculus 1.
following the American education system for self-studying math is a great source, but I would point you to an optimized route.
Here are some books that The Math Sorcerer has recommended in the past and assume no prior knowledge for math
i. Everything You Need to Ace Pre-Algebra and Algebra I in One Big Fat Notebook
ii. james stewart algebra and trigonometry
iii. james stewart calculus
The following books should give you up-to-par to an average American highschooler.
@@ucru Brilliant! Just looked up the 3 books you recommended, they looks great. The Alegbra and Trigonometry book looks very interesting. Thanks for the recommendations, I will try to master all these topics to try and get up to standard.
@@EscPointDev hopefully they helped! :-) remember to take notes, and don't get lazy on the fundamentals! It'd be hard to build upon the foundation if that foundation is unstable.
Excellent books by Stewart: both his _Algebra and Trigonometry_ and _Calculus._ By the way, the same titles by Swokowki are also superb. Larson also has the same titles: They are just a tiny little bit simpler but overall they are almost identical to Stewart's and Swokowski's books. There are two more excellent competitors here: _Thomas' Calculus_ and _Calculus_ by Adam and Essex.
The brazilian translation of Stewart calculus book is much cheaper (he is quite a standard here, though we also have Anton and Thomas). I bought mine 7th edition then for 30 dollars (the 2 volumes the book comes in here), now they are almost 60 dollars, while american is 260 dollars 😱! If you know portuguese this is a bargain LOL.
Math Sorcerer, is it common to be able to do some pretty high-level stuff in intermediate mathematics---say, Laplace transforms---and be totally thrown by some pretty basic algebra material, eg, rational roots theorem? It's pretty humbling
LOL yes VERY common!!!!!
the rational roots theorem is awesomely powerful
Thanks for making me discover this theorem! Interesting stuff
Hello Math Sorcerer, thank you so much for all the dedication and effort you put into making these videos and for giving as a roadmap on how to start self studying math from the very beginning. I've actually bought the newest editions on both of these Stewart's books and the Discrete Math one by Epp. Since I'm from Argentina, these books are normally not available locally so you have to import them. Fortunately for me, I only paid about 50 bucks for each of them (they're all new and the Stewart ones are hard-cover), so lucky me I guess (actually thanks to our government's monetary policies). Hopefully I can finish them in a few months and keep up on learning math. I've also seen that you have a new YT channel on Spanish. If it's ok with you I can stop by on some of these videos to point out some little mistakes so that you can improve your Spanish as well. P. S: tide = marea
@@lorax121323 In my particular case, I was interested in learning Math in English. Therefore, the local textbook market for these books is almost non existent, both new and second-hand. Besides that, there are no locally produced textbooks in Spanish, they are imported from Mexico (at least the Calculus by Stewart one, which is like the only textbook available in Spanish, or at least I'm not able to find any other textbook similar to that one in Spanish). Price between both textbooks is about the same, the only difference is that you can get the Spanish version right away while for importing the one in English I had to wait 45 days to get them. In addition to this, it's not common in Argentina for someone attending college to buy a textbook, usually they are given notes made by their professors, which most likely are based from one of these textbooks, so that's another reason for the local textbook market for being so small.
Greetings Mr.Professor,
Thoughts :
- Classic Maths Textbooks invokes Passion.
- Modern Maths Textbooks looks Informative.
Thanks.. Take Care, Professor.
With regards,
RanjithJoseph (R.J)
I used Stewart's Calculus fifth edition in college and I absolutely loved it.
please make a video regarding what math books and backgrounds you need to learn before learning stochastic calculus. especially steve shreves two books called stoch calc 1 and stoch calc 2 for finance
What do you think is a good real analysis book with great theory and tough problems? I really don't enjoy solving repetitive type problems!
Check out the book titled "Advanced Calculus" by Buck. It has a lot of content and it's solid. It has some easier problems and some harder ones too.
@@TheMathSorcerer Thank you for the reply!
I love when the seemingly random pictures included really drive a conceptual point home.
By any chance, do you happen to know of any books specifically pertaining to hyperbolic functions? Particularly those with the "lost rigor" of more modern books? I'm perplexed by the exponential definition of such functions.
After I've taken an important college exam and failed totally at math in my country, I discovered math is funny. I've started with Forgotten Algebra, now I've been taking College Algebra and currently, my objective is to build a deep understanding at calculus and learn physics! Many thanks to you for guiding. 💐
In Brazil we don't study don't study Calculus at high school and when I almost half page with anything written like at 11:02, it freaks me out. Wasting of space that could reduce the number of pages and, hence, the price of the book. 😔
I must say that Calculus by James Stewart is very popular in Brazil, although it is not my favorite. The nine edition costs 26 dollars (vol 1) and 23 dollars (vol 2) at Amazon BR. But I need to stress that this book is printed with regular paper and with soft cover
I have the 5th edition of the book at 7:00, retitled "PreCalculus", and it is a gem of a book.
Don’t be deceived by the camera angles!! That Algebra & Trig book is huge. My 5th edition just came in today. It’s great but huge. And it has online tutorials and exercises for more training.
also thanks for the trip down memory lane page though old anzien b4 new years
Nice video on three books I own. I agree there is a lot of math there, and it's good to oscillate among them. Another book that is useful and talkative toward understanding is Linear Algebra: Theory and Applications, by Cheney and Kincaid. It's a big, thick book with lots of problems (3,100) and good explanations of the ideas. Calculus and differential equations don't appear in the index, which is good, because an introduction to linear algebra is a pre-calculus subject. So, I recommend adding it to your three-book stack in this video.
Pacticing the basics is essential! Pro golfers practice all the time!
I started in college with Math 40, I had to take it twice, then I took a semester with 120 adn trig and had to retake Trig, Got to calc and I took it twice but didn't get through it so my college stopped there. I took a job dong I.T. work, desktop and server support. which I don't do now and hate. Wish I could've gotten through calc and got my engineering degree. I struggled with intergrals and related rates. I couldn't do those problems at all.
I’ve got the algebra trig book
Love it
But I still see old books are much more better because they have more tough contents like spheric trigonometry course you won't find it in modern books.
I believe that the harder problems you deal with and the more you master mathematics and the more time you spend with these problems the more intelligent you become.
In the uk we seem to get solutions to all questions, not just the odd ones. These books seem great though I thought James Stewart was that Hollywood actor from the 60s ?
You mentioned some modern textbooks are less rigorous than older textbooks. I’m interested to know more about what you mean - fewer proofs or less systematic in favor of showing the mechanics of solving?
Sometimes newer books have less proofs and sometimes harder examples are omitted. However a lot of newer books like these have more examples which is good.
@@TheMathSorcerer thank you!
is as i predicted Blitzer can never pass from active curriculum to hot to evetr go out of print, now thanks will be in my hand again
It is true that when there are a lot of exercises and if we do them all then we understand the material better, but if there are too much, we have to skip more to be able to go to the interesting next chapter, and at that time we cannot feel to satisfaction that yes, we finished with the chapter, because there are more unsolved exercises left. So maybe the ideal thing would be not too little exercises but not too much either.
Thank you for the video.
I have Pre-Calculus by Ron Larson. Wouldn't that be the same essentially as the Algebra & Trigonometry book reviewed here by Stewart?
Ya same material basically yup.
Thank you sir for your work. 😀
Hi Maths Sorcerer, I bought the Blitzer algebra book but confused about what I need to buy to complete the sections - maybe because the book is really for the USA. The intro says that I have to buy a fourth edition for the extra chapters ?!
Best precalculus textbook for high school? We are getting new books this year and having trouble picking the right book
More maths meant more books, and thus may I inquire to look into Ethan Bloch's The Real Numbers & Real Analysis?
@14:04 "no math book is perfect" - yeah it's true :-)
How can I improve my problem solving skills because I usually get stuck on all problems
Should I buy the udemy course on calculus
I need to tell you that this book is exactly what the Texas board of education follows. I'm not sure nation wide but I would assume it does to. It was because of you math sorcerer that I bought it and I was blown away. Every module that we go are on is the exact same as that book. For example if we are working on 3.3 on our module, you can go to 3.3 on this book and it will cover the exact same thing. I bought other books and they don't follow.
We currently are using the Jullie Millers college algebra 3rd edition and I will say, it is a ripe off for the price. It's the exact same thing as this book except this one costs 8 bucks average and Julie's is 300 new (120 used).
Now, Jullie's old edition are crappy, I own them. They do not follow the modules. My personal review is that Bob blitzers 4th edition=Jullie Miller's 3rd edition for a penny of the price. 👎 For Jullie Miller's 3rd edition. Bob blitzers should sew her lol (not kidding).
A book, which explains with brief examples, the symbols/notations of mathematics.
Do you have to indicate ?
It could even be a type... cheat sheet.
this is exactly content like cengage book ( indian book) of clas 11th and 12th ,, this is not loo like college book ,, this is like high school level book of india
I just finished Calc 1. Is it worth going back over my precalc textbook? My precalc grade sucked and before I did very well on the final, my calc 1 grade sucked too (finished with a low B). Or should I just stick to reviewing my calculus textbook at this point?
It's up to you, it's always fun to go back and do a few problems from those old books:)
hii math sorcerer. first of all thanks for making such amazing helpful content for us. i am from india. when i was in my 9th and 10th class, i used to memorise the math problems solutions and could do only simillar pattern of questions. In short my math was not as good as others. but your videos changed my mindset towards math. i started to understand math deeply then devloped my brain to do some of the problems by my own.
i am aspiring a engineering entrance [JEE] . The math problems of jee is quite different from the standard maths books available in market. Actually my problem is sometimes i am unable to understand a question and how to start the solution. the questions seems little bit complex. so can suggest me any tips to develop my problem solving skills. My maths background is not so strong and learning maths deeply takes a lot of time, our syllabus is literaly very huge. Learning maths deeply is interesting but when i see the syllabus, i get a headech. i have to finish the syllabus with in time. so plz suggest me some tips that i can gain problem solving skills in limited time. A lot of people suffer in this problem in india , so plz tell where i am lacking? if you read my comment till now, thanks
I've been watching your book review playlist and i noticed there are no differential geometry and differential topology books. Riemannian geometry books aren't covered also. Do you have any reviews on those subjects in mind?
What's the best or top finite mathematics and applied calculus together !
What's the best technical mathematics !
Thank you
Hello sir.
Can you make a quick review on precalculus by Michael Sullivan.
I'm learning calculus now, but I'm having doubts about basic arithmatic. I can do the math, I can get the correct answer, but everything seems more abstract now than when I learnt this stuff in high school. Am I thinking too much that I start to confuse myself?
Just keep on practicing the basics, 🫡
This books ⭐
Have you ever heard of The Open University? If so, I would like to hear your opinion on whether the BSc in math over there is the same as at a regular university. Is it possible to apply to the top mathematics PhD program in the United States as a person who majored in CS for practical reasons and once wanted to be a mathematician?
Note: I am not an American, and I did not study in the United States.
Don't people have a problem with geometry?
My High School Geometry class turned-on my "math lightbulb".
@@douglasstrother6584 I took a glance at the geometry book MS has reviewed on the channel. It seemed like the book was significantly easier than mine, which is Russian. Maybe that's a reason? Nevertheless, I'm glad for you)
@@NarynbekGilman We did lots of Construction Proofs, good old straight-edge & compass stuff.
I forget what book we used: "Life's Been Good" by Joe Walsh was released that year.
Question: What is different about these used Calculus books for sale that say they've been customized for a specific university?
cascade of knowledge!
Should I buy the calculus course on udemy I’m getting stuck on every calculus problem
My two cents: Just buy Stewart's Algebra and Trigonometry and it will fill in all your gaps. Stewart's Calculus has no tough problems, which means you should be able solve them easily but... just to make sure you're not doing something wrong it's good to have a solutions manual to check your solutions vs professionally prepared ones. Calculus requires a sound knowledge of elementary algebra and trig, and 99% of people lack such knowledge. So, they are just stumbling through it in a haphazard manner: through solutions manuals, through ready templates, tips, and hints, etc. They should not have such problems. It's not right. They are simply not fully ready. It's like training people who can't skate to play hockey--and they just have a problem with it and fall all the time. My opinion is that remedial courses and precalc courses in college are usually too short, and HS curriculum is ridiculously dumbed down. People often get stuck or just do stuff by templates without any real understanding of what they are really doing.
Is it the 4th edition
Is this a good sequence of books to brush up on my math skills over the summer for my next semester of engineering courses?
Beautiful
do you ever remember telling yourself the equal sine has become a verb and there no confusion other than next variable unknown then this idea of confusion itself is a reduced form of chaos max but choas is not a variable often in linear definitions then go in search of choas to define and got lost looking for breadcrumb trail back to flat earth and a simpler time but traveled astro so far out of linear sync that you cound planets from outside in to find the flat earth of young earth in silence still then 37 years of wandering though unorder void and structure later you comment to much in people good work solid linear structures
Wow
This books have many maths. I Will prefere more easy ones
Any opinions on:
- A Discrete Transition to Advanced Mathematics
-Understanding Analysis
- Apostol's Calculus (do I need that if I understand analysis?)
- Linear Algebra Done Right
The last three are great. I don't have the first one you mentioned so I can't comment. Linear Algebra Done Right is an interesting book!! Apostol's Calculus is a wonderful book. Do you need it? Well it's nice to have, although it is expensive. Understanding Analysis is a nice book on Analysis.
If at first you don't succeed, try and try again???? Dude!!! That is SO 20th Century. Now it's "The definition of insanity is trying the same thing over and expecting different results."
I think that's a lot of math lol
I just realized that if you shave your head you literally are Jeff Bezos...also both are good at math (Jeff was a Quantitative Analyst) and both are 🇨🇺 (Jeff Father Miguel) otherwise with the hair you are a modern descendant of Isaac Newton as others have mentioned.
Dye your hair black and you will be the spitting image of Liebnitz!
NERD 🤓🤓🤓🤓
College stuff