Why This Old Book Might Just Be Your Best Bet for Learning Calculus
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- čas přidán 12. 01. 2024
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It seems that whenever we are forced to learn something we typically don't want to, and instead we want to learn something else. This is why self-study is so powerful. In this video I give you a very nice option for an old classic book on Calculus. It is called Calculus and it was written by Earl Swokowski.
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Thank you:)
My dad suggested that I learn Calculus from that book written by Swokowski, and I actually have it. He died this last year from pneumonia unfortunately, but he was a very intelligent person who taught math to high schoolers for over two decades. Anyways, man, I love your videos.
I am so sorry for your loss. That hits home for me. I’m an older math teacher. I lost my wife and my second granddaughter in 2021 and my own dad, step-dad, aunt and uncle in the handful of years before that. It’s so hard on everyone. No matter how much we know it’s coming, that analytical understanding never prepares us for the experience. Beware forgetting; actively keep the best memories alive!
I just grabbed a copy! I’m a few years away from being able to do Calculus, but I’m building my math library, realizing that text books are going the way of the dinosaur. THANK YOU for this channel! You keep me going on my math self-study!
Good luck and get it done!
Where did you find one?
Good luck on your mathematical journey😊
You are NEVER too far away. I learned the vast majority of my math while earning my physics bachelor's. Most would say you have to know the math first. You may learn more of your other math by stretching. Almost certainly, you would learn better calc by immediately using to solve real world stuff.
Just got a copy from your link! I'm in calculus 2 right now. I will be taking calculus 3 next semester. I'm happy I found your channel. I hate doing online homework.. I love physical books that I can flip through the pages. This will be very helpful for me! Thank you 😊
It's so true. Even now that I'm in my 50s and still studying for various IT certifications, the need for "learning something else" is something I constantly grapple with.
I took Calc 1 in 1980 and used this same book. Still have my copy on the shelf! Your video is reminding me it is time to review again.
OMG I WAS JUST ABOUT TO TWEET YOU ABOUT THIS BOOK LAST NIGHT.
I got my copy for 5 bucks at Goodwill. I think a local math teacher passed away because there were a ton of old math texts there.
I'm from Bulgaria but am currently in my 3rd year of university in the Netherlands. In the Netherlands, everything is online, but in my home country - Bulgaria - although online homework is being incorporated, many teachers are somewhat skeptical about it and prefer to keep the old-school methods, resulting in a somewhat hybrid environment. Love the vids, wish you all the best!
Само напред и нагоре, брат
Graduate HS & University here in the U.S. in the 1980s. Trust me, old school is best. Working out problems on a real blackboard or whiteboard allows you to step back and look at everything more clearly.
YES! THIS BOOK! I have it from the library. I have been looking for a video from you that talked about this. I have to say it is a very great book. The writer brings up prerequisites at the start so you don't get stuck. I am 16 and I have actually fallen in love with this book. It is like a teacher who is willing to teach every bit for you to have a better picture of Calculus. It gives you exercises for you to remember things. I thought of keeping this book from the library but once I saw this, I am going to buy it from your affiliate link. Thanks!
I'm trying to learn Calculus . Your books and insights are very helpful.
Thanks for the review. I literally used Swokowski 2nd edition to learn Calculus in high school. I found a like new copy of that edition about four years ago and still use it for reviewing and referencing the subject (also have a copy of the 6th edition, an excellent update) Agreed, iconic text!
OMG Earl Swokowski !!! We used all his text books at city college of San Francisco back in the eighties! I still have my books, especially my beloved calculus book!
Loved this guy's enthusiasm and wanting to do something other than today's assignment, so much like my experience too.
Great channel! I've learned Abstract Algebra, Topology, and Proofs thanks to your videos and book recommendations. My brain feels so much sharper and intelligent.
It is! 😊
Thank you, Math Sorcerer. In my Florida college only a few professors use the online homework tools. Almost everyone teaching calculus wants to see handwritten pages.
I'm looking to do problems outside the Stewart textbook we're assigned so this video was just what I needed.
Two of the coolest calculus books I recently found are Velleman's Calculus: A Rigorous First Course and Waner & Costenoble's Finite Mathematics & Applied Calculus.
They're very unique and put a great emphasis on explanations and applications for first-time learners. Velleman's book seems best for when you're feeling really focused, but Waner & Costenoble is better for when you need something easier and more relaxed.
That book and others have long been part of my library. I love the old style and the exercises in it. Love the author and how he explains the concepts to make them simple. I used that book to self learn calculus while in the 3rd grade.
damn, 3rd grade? I was struggling to divide in 3rd grade lmao.
This was the text I used in 1978. Great text. Just dug it out, first edition. I love old texts, as it reminds us that folks have been studying (in some cases struggling) with these topics for centuries. There's nothing better than the smell of an old text.
🔥🔥
@TheMathSorcerer Thanks for sharing. I really hope you cam respond to my other question when you can. It would mean a lot and is very important abiut the proof. Thanks very much.
Your words in the first minute are exactly what happens and I am no exception. Strange that it does. But now I heard it from another person so somehow became aware of it. It will never happen again. No more easy roads because of the fact that life is busy in all other areas is well. I need to get the degree no matter what. I just turned 40 and went back to study construction engineering. I had some private issues for same years but back on it now.
I am from the Netherlands and yes the books are slowly being phased out here as well. We still have physical classes for most of the time our homework for math is still pen and paper. Maybe because I am older but I prefer books over online content. It's just more complete depending on the books of course. I think in the next 5 or 10 years there are no more books available at the campus.
I am getting the book as well. I already have Calculus the complete course, but some old school approach and insight will make a differents.
Your comments about learning under pressure are spot on. When I took thermodynamics in college, I struggled mightily, and barely passed. I could always find something more interesting to do than study thermo. Then, several years ago, I signed up to take the PE exam. I knew thermo was a subject I was weak in, and decided to re-read my old thermo book pretty much like a novel, and not worry too much about the problems. I’ll be damned if it didn’t turn out to be some of the most interesting reading I’d done in a long time. Yes, there was pressure, but it wasn’t the same kind you experience in school. If I didn’t pass the PE exam on the first try, I could always try again.
Flashback! The same book I used back in the day! Great book! You can get a solution manual for it along with a study guide back when I was in college.
I love the classical edition! It was my first calculus book! This book means so much to me!
I got Thomas calculus and analytic geometry 4th edition for less than $10 last week and it is amazing. I might snag this one too. There’s something so pure about old books.
I loved Loomis for Intro Calculus. It educated my intuition in such a good way, for me at least. I never once flubbed a limit problem . . . Well, only one time, but I caught it and corrected it at the last minute. I still remember that, lol. I got them right the first time, except for that time.
I used to seek them out and do all of them from other books. Crazy. 😅
Having already possessed this very same textbook from my US college days in the 1980’s, I inadvertently found your videos 2 1/2 years ago searching for other calculus textbooks for my son. And now I own about 14 different calculus books for no reason at all.
Thank you so much!
Back in 1986, on Rio de Janeiro, I was struggling with my multi-variable calculus. I could not understand the classes, nor the textbook that was recommend as the textbook. I did well in single variable calculus. How could it be? Something was missing. I came across the Portuguese translation of this book, and O saw the light. The definition of verctor fields and the analogies the author used are still with me after so many years. I never understood why this is not the most used calculus book in the world. The text is VERY clear, paced and the exercises were indeed challenging but doable. Your could not be more correct in this video. Thank you for bringing me back to this piece of teaching treasure!
I actually found volumes 1 and 2 of this exact book 8 years ago on my grandmother's garage, right when I had started taking college calculus and analysis! This was the book I used and, now that I'm doing my PhD, I still have both volumes always within arm's reach of my desk
It is nice to recognise some elements of how math was taught back in the day, as transcendental studied after integrals, and D operator.
I have owned this textbook for 44 years.My first exposure to The Calculus was Earl's book.
I have accumulated and purged many math books from 1978,but have kept four calculus books from these great instructors: Earl Swokowski,Howard Anton,Dennis Zill,and Murray Spiegel.
I'm from Brazil, this was my first book (Portuguese version in two vol.) that I bought in 1987 to study mechanical engineering. I still consult him today.
No better learning and reference source than a well written textbook.They are gold!
I love the Swokoski textbook. I have it. My professor used it, and there was a high school edition, too, and my teacher adopted that one for us in 12th grade. That was 1981-82 for me. I still consult the one you are showing here when I must tutor a student in differential calculus. Great book.
That was my calculus text in the 80s. As a financially struggling student at the time, I especially appreciated the money I saved being able to use the same book for an entire series of classes. Same with Halliday and Resnick for physics.
This is two in a row! I have this book, 2nd Ed. and I have Anton's Linear Algebra, 3rd Ed that I just saw you talk about! I was a Math major in the early 80s.
I also have Anton’s Linear Algebra as well as Swokowski 1st Edition. You didn’t go to Rensselaer Polytechnic Institute by any chance?
I did not. I went to NIU in Illinois@@KevinBalch-dt8ot
This channel is amazing and the host is so passionate and good at math. I just wish I could give him a personal brand make over!
I remember working through the *first* edition of that book as an undergraduate when it must have been (based on the publication date) the "new" calculus book. It's still on my bookcase Excellent resource, and excellent suggestion in the video.
I've felt the same way, thanks for sharing :)
I have that very edition still on my bookshelf, from 1980-81, calculus I, II, & III @ UTA (Texas). Very good text.
A physics professor recommended me this book.
I used it so many time and I still use as reference.
I wish I could have this one on my collection but it's quite hard to find where I live and people are selling it at obscene prices in the internet because it's "rare". I only own a digital copy.
I think the proofs and demonstrations are often better explained in Swokowski than in Stewart or Thomas anyway.
So glad I found you here.
Back in the mid '80s, this was the book (same edition) that we used for one of the Calculus classes (can't remember if it was for Calc I or II.) I do remember, though, when I took Calculus II, the professor I had for that didn't use the same book as the one I used for Calculus I (same University, too.) So, I had to buy another Calculus Book. When I got to Grad School and started teaching my own Calculus classes, used even different books. I had something like 4 or 5 Calculus books (a couple teachers editions) at one point. Sold a few of them, but still have 2 or 3 of them. I only have 1 of them on my access shelf and the rest stored away in boxes in the closet. Anyway, I can't remember if I still have the Swokowski book or not. If I do, it's one of the books I have stored away. The one on my access shelf is the 2nd edition of the Howard Anton "Calculus With Analytic Geometry" book that has pictures of Newton, Leibniz, Gauss, Euler and one or two others on the cover, along with some famous equations/definitions/formulas and graphs.
WOW!! I learned trigonometry from that author in one long weekend!!!
There was just something about how he explained stuff that clicked. Believe me, I would not not NOT have been able to do this with another book. I tried. No. This was the author for me. That's how I did it.
I loved learning Precalc with Swokowski's excellent text. Will have to get this.
I have that pre calculus book as well.
That’s the book! I’ve relied on Swokowsi’s 2e for a VERY long time. It is my go-to calculus resource. I’m not sure if it was one of the many textbooks I got in a school or if I bought it in a used bookstore because its more recent history is all I recall. I agree that it’s a great book.
It's a marvelous text! Delighted to see it recognized!
I need to get my hands on this book!
Today we have an astounding amount of information on the internet and almost every book in digital form. It's very convenient but sometimes you find an rare old book in a store and it just grabs your attention. It can be a novel, a cookbook, anything. It feels like finding a treasure. You could probably find its digital copy if you searched but having a relic in your hands is just different. I guess it's another way our brains just want to do something else. That same book or information might not have grabbed our attention presented in another way.
I'm a computer engineering student here in Kuwait and yes we do use online homeworks for popular subjects (things like calculus, differential equations, physics, and chemistry). We mainly use those major platforms like Cengage and Pearson (we purchase the access code for each course). In a nutshell, our system is almost identical to the American system
Found myself a copy of this text a couple years back. Excellent choice!
You should definitely check out the book Mathematical methods for physics and engineering by Riley, Hobson and Bence. It's a book intended for undergraduate physics and engineering majors but it has more material than can usually be covered in an undergraduate course. For a book aimed at non-math majors, it has a lot of good math in it. You should definitely check it out and make a video about it. I think you will love it.
Used Swokowsi in college....still have it in my collection of physics and math books! Great book for Calc I and II.
Your observations are spot on!! As a, rather ironic, confirmation, I used this exact book/edition when I was in school (yeah, I'm OLD), and found myself picking up "older" Calculus textbooks that I came across at used bookstores, garage sales, etc. Somehow I was just drawn to the "differences". (maybe I should have studied psychology instead of math ;)
Wow! A stroll down memory lane. That was my calculus book in college circa 1979 - 1980! (Yes, I'm an old dude.) After all these years I still have it, despite attempts by my ex-wife and ex-mother-in-law to throw it out. It's a treasured item.
Glad to hear that it outlasted them !!!
lol. Every guy should have a rule about their favorite hang-out, you know the place you really feel comfortable in, got your beer, great hamburgers, whatever. Never, ever tell your girlfriend or wife about it. There are plenty of places out there that should be fine and she'll like, but always, always keep that one to yourself even if you can never go there. I see the analogy here with your book, you'll still have it when you need it.
This exact book was the main text in my calculus sequence in college. Excellent, lucid text. One of the best. Better than many written today.
I taught Calculus several years at a small private high school. They had some Calculus books where the questions seemed kind of touchy-feely and asking you to journal about certain problems. Neither I nor the students liked it. So I went out to local thrift stores and online and got copies of Howard Anton's Calculus and Analytic Geometry from the 1980s for around $4 to $5 per copy. Major improvement!!! I don't know about Swokowski but I can easily imagine we would also have been happy using his books instead of what we had.
Hello fellow calc teacher! I’ve had so many such experiences. Why are our books getting worse? And the standards-HAH! Who is behind the destruction of mathematics education and why?
I know I waant to some day dive into calculus and try out my luck there, but you're getting me hooked on this lately, haha.
Will never forget the book by Purcell we used for AP Calc-BC in high school. We finished that whole damn book front to back by spring break then did a complete review between spring break up to the AP exam. The first 6 chapters were considered a "quick review" during the first week of class as those chapters were all learned in junior year Pre-Calc class.
I used that book in 1988 starting with Calculus I up to Calculus III and it was AMAZING!!! I still have it but needed to put in a new binder 😮
I still have the first edition from my Fall 1977 Calculus class. And I also have both answer keys covering chapters 1-19. It was a no frills book, no color photos or any photos. I don’t remember any complaints about the book.
I also have my older brother’s Calculus book by Louis Leithold.
That was my college text back in 1983 for calc I - III , and I was forced to use it, so maybe not so fun. It is still on my bookshelf and I used it to help my son with his calc classes about a decade ago.
I bought that book in 1983 and it is still on my shelf. It got me through. There was a more expensive version that didn't have the Analytic Geometry. It was thinner and easier to carry and sold at a higher price.
That's the calculus book I used at City College back in 1979. A great book , I still use it to refresh my calculus skills.
Love this❤❤❤
That was the book I had in college a few years ago (more like 40 years ago). I didn't know those were still around. Great book.
For a precalculus text book I highly recommend Precalculus by David Cohen. I used this book in my precalculus class around 1990. The book is so well written that you can learn on your own, without a teacher. The author has released several editions of his book since then. My guess is that the latter editions are also very good.
Btw, when I took precalculus the course was given a fancy sounding name...mathematical analysis.
Someone mentioned this book on YCombinator as the user's brother used Swokowski's 5th edition re-learn Calc to get in to a Physics grad program after 7-8 years away from school.
I pulled the trigger and I find the conceptual breakdown of topics better explained than Thomas' (my fave) or Stewart.
the sad thing is that one day you will not find physical copy of this books
If you have a digital copy and got a printer you can produce how many physical copies you like.
@@shadowshadow2724 ©️ copyright 👽🦴. You can be sued. Digital copies are only published because of the mercy of the author and publishing company. So no one should try to fool them, betray them.
I've heard kids toda6 in school are not taught from actual physical book they can hold and flip through I've heard they are taught mostly on laptop computers
Sorry, guys. I'm the one who keeps buying all of them up! 😅🤣
@@AnnieMarie869my college supposedly uses only MyMathLab all the way through the entire calculus sequemce
Wow! This was my text in Fall 1980 at Texas A&M University. I recognized the cover immediately.
LOVE MATH LOVE MATH BOOKS LOVE THIS CHANNEL!!!!
The 1930s - 1960s were a great time for books on how to understand math and science. First, grab everything by Isaac Asimov. There's also Mathematics For The Millions by Lancelot Hogben. You can also grab old textbooks or peruse them in the library because although they all cover the same stuff, they all do it slightly differently and I found this very helpful.
I agree 100 percent.Hogben's book is a jewel packed with mathematical gems.I have an old paperback reprint and a few years ago found an original hardcover printing of the book at a Goodwill store.And I own several of Isaac Asimov 's physics / math books as well.Your dad knew best.
I have the first volume of Asimov's physics book, and it's absolutely incredible. That man was an absolute monster of knowledge
Swokowski! I spent many many hours with this book in first year engineering. A great book!
Opening observations very true. A good lecturer I had once said that if teachers told students that everything on the syllabus wasn't on the syllabus, and replaced them with things that weren't on the syllabus, then all courses would be more successful.
I tend to be a lifetime student and often buy and read engineering and physics textbooks and I wish there was a website that had discussion forums for different textbooks where you could compare notes with other readers.
I have had this issue my whole life... it even extended past school into work life.
I think with me the issue is that I was always motivated by my own internal thirst for knowledge , and what other people want me to be doing for other reasons other than my internal desire were never as important to me.
@6:03 SAME! I always love reading textbooks on my own, but once it's for class it's like they go down 500 points in things I want to do. Because I never really believe the teachers care about or really want the math to click, and that's something only I get when I'm personally involved with deciphering the math. I don't want to do drudgery for someone who is just checking for a job. It takes away the magic!
Stokowski was the standard Calculus book when I was in college here in Brazil.
LMFAO, my dad has this book at home lol when he's in college about 30+ years ago studying computer science but he dropped out. I'm in my first year of electrical engineering, I'm his only hope.
I used this book back in the early 80's! I still have it at home.
I used the textbook during my U. Sydney mathematics courses in the early 80s, still have it, and read it.
Got mine on my desk today. Bought it in 1979 for calculus at JMU
Great review! My go to is akways Howard Anton's Calculus, 3rd edition. It's even thicker!
I took Calc (Thomas book) in 80s & still have it in a storage unit... The Barron's "Calculus The Easy Way" & Schaum's Calculus were the best suplemenary books I found.
I have the 1st and 2nd edition of Calculus With Analytic Geometry by Swokowski. It was annoying buying the 1st edition in Calculus 1 then having to buy the 2nd edition next semester for Calculus II , also an Advanced Calculus book for Calculus III. I struggled with Calc in the beginning, not having Intermediate Algebra and Trig background due to graduating High School early. I did regroup with Intermidiate Algebra, Trigonometry and Precalculus courses in college. Grades improved in higher math, an A in Calculus III. Not to mention the other books as additional resources, Calculus Problem Solver, I still have, was helpful and big in size to carry around. Then Differential Equations happened.
Great video Thanks; I mignt be a bit disturbed by the notation D (which I didn't know) instead of del...
I learened from this 44 years ago - topped pure maths at Sydney Uni three years running - it's an excellent resource!
Thank you for selecting an affordable book! As for online classes, the amount of students I have had who were marked wrong due to a parsing error on their input for online homework when it was correct is just too high to count. I think in person will still reign supreme unless these online homework apps can take multiple correct options.
In completing several degrees, and once I found my place in a chosen major that I loved, I always sought additional books...in addition to the required books. ...for multiple reasons. More advanced books were more interesting and were written by leaders in the science and thus led to greater knowledge. Also, the required books were sometimes really lousy books....or the required books were a "one size fits all / lesser of multiple evils" compromise that the professors were forced to choose.
We used the Swokowski first edition in high school. Excellent text.
That was my textbook in engineering school. Good book with lots of examples and problems. An essential part of graduating from university in top of my engineering class.
I had both this book for $1 around 18 yrs back. No kidding.
It was a book fair in India, and I got this book.
I haven't refered the book much but I agree withe smell of the book ❤
Wow. turned around and looked at my bookshelf, didn't think I had it. There it was. Presume it's the first edition, "4th printing, 1976" I believe there is an answer booklet for all the answers which was only available to the professors. I hear what you say about learning though, Learning a language, fascinated by geology and have been looking at some of the math problems that show up on youtube. It's fun now. Maybe because one is more able to ask the question first "what is this"? and have more time to turn things over in your head before being run into getting the next answer.
I live in Lebanon (a small country in the middle east) and Math online homework are still not that common here
I graduated with a Bsc. In Computer Science couple years ago and all my math homeworks were in good old pen and paper.
Unfortunately tho, books are little more expensive here and we usually get our books in a pirated PDF copy. But I'm really interested in getting a real book once I can afford it and keep my math skills sharp 💪
I don't really staring at a phone screen all day. Physical books are the way to go
Exactly
Amazing - it is the book I used. I have valued the book and is the only book I kept after college.
It was our standard text book back in 1993 at UFPB (PB, Brazil)
Speaking of online homework in differenct countries. I'm studying in 2 usniverstities right now. One is ukrainian university called "National university Zaproizka Polytechunic" and the other one is british university called "University of St Andrews"; in both universities I study subjects related to math and we do calculus. Before war in Ukraine we still did our homework from textbooks which we usually looked up on the internet and lecturers would coullect our notebooks with our homework and mark it by hand at home. In St Andrews we have something called "excersise class". In that class everybody could come with either finished or half finished homework (they don't mark homework) and ask your questions you have about the homework. This class lasts 50 minutes, which is not enough time to finish all of your homework, but usually it's enough time to finish the half of your homework.
I remember that we used TC7 (The Calculus 7) of Leithold in my university days. It is a thick book like that one.
Sorcerer Sir , what i recommend is based on what you said at the last of this video, "to learn the other way check my website". I consider that one should learn from the book first and then when you want to review or revise the topic we should watch the video tutorial on it. BOOM! Then we very easily in a very short time, just by one time watching the video tutorial we can recall what we have learnt through the book. This is how it works!
You might have heard of the term "Tutorial Hell". If not then you should check it. That is why I recommend learning from the text first and then going to video tutorials in order the easily recall what is comprehended through the book. I never recommend learning math or science or any other subject majorily from the youtube or other websites. Generally, Video Tutorials work best for reviewing, revising, recalling. Because on the textbooks, a person devotes his many hours and studies the topic deeply. He clearly knows the definitions & knowledge and can express it (teach ) or (write ) answers if they are to appear for an exam. This is how, studying deeply through textbook enhances a student's(one who studies) confidence.
This is why autodidactic learning is generally best.
The Spivak and Apostol calculus texts are also really great.
Definitely !
I hate online homework, I guess I am old school but there is nothing better than having a physical book in you hands with the solutions in the back of the book, and a book with detailed examples.
Exactly.
I ordered Huemongous Book of Calculus and love it I plan to order rest the books in the series I actually think I did check a math book out at the library by that author and I remember thinking I would have been a A student in school had I had a teacher that taught math like that I don't think much of the Demystefied math books I ordered Calculus Demystified and don't think much if it I'll probably order the book he's actually talking about in the video thus channel is a good place for math book recommendations
WOW! I still have this book from Freshman year. Original price $38.70. I have had many other math texts that I have used and passed along or tossed out, but I have held this one for 40 years.
Hey, that's the book I used as a freshman! I still have it!!
God, my teacher was a little old lady and she was AWESOME!