It's More Math Than You Think

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In this video I will show you three books which are widely used today in Colleges and Universities in the United States. These books are used for six courses which is a ton of mathematics! All of these are excellent for self-study as well. Below are some newer editions of the books.

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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.

reence
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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

Art
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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.

niteman
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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.

demongeminix
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Those Stewart books have a ton of math in the more advanced exercises as well. Solutions are readily available online.

zgennaro
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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.

SequinBrain
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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.

steveh
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Euclidian geometry books might be beneficial for practical mathematics applications, although it is typically not college course.

ottoomen
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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

optmstpessmst
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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.

gmcenroe
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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.

ussdfiant
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Working through Stewart’s Algebra and Trig book and it’s a step or two above Blitzer in rigor.

jbbentley
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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.

anniesizemore
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I used the Stewart book in Canada for college level calculus 1, 2 and 3.

Feta_Cheezz_Montgomery_Burns
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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.

EscPointDev
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I have the 5th edition of the book at 7:00, retitled "PreCalculus", and it is a gem of a book.

meropale
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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.

billmorrigan
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I just ordered the Blitzer book. I'm taking College Algebra next semester and I want to pre learn some of the material. The book I'm going to have for the actual class is just one of those Pearson books where you can rent the ebook version and access code so I won't have a physical book to flip through. I do like to have physical books.

ryanarchuleta
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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

maurojavierolmoslozano
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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!

fcrdemolay