4 Giant Calculus Books That Roamed The Earth
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- čas přidán 8. 06. 2024
- There are lots of really good calculus books out there. In this video, I will show you 4 giant calculus books that are not as widely used today as many other books. I purposely picked these 4 math books because you might not have seen these before. Many of these are out of print but I did find a few copies and I've linked them below in case you want to check them out. Note all of these books cover the material that is usually covered in Calculus 1, Calculus 2, and Calculus 3. This means if you are taking one of these classes these books would work great to complement what you are learning in class. These books are also excellent for self-study. I hope you enjoyed the video.
Calculus by Ellis and Gulick
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Calculus by Stein
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Calculus by Swokowski
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Calculus by Leithold
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Thank you:)
Love your channel!!! As I am retired now and well beyond going back to school (BSEE Virginia Tech 82), I study math for the challenge. It's worth noting that many books that run hundreds for current editions are very affordable as previous editions. Actually used (and still have) Swokowski 1978-1980.
In Korea, it's either Thomas or Stewart. Spivak and Apostol are sometimes mentioned by math major to practice calculus for the 2nd time. Nobody mentions about Larsen Calculus. Also, In Korea we teach calculus for 2 semesters. We skip most of the Calc 1 content and jump to Calc to straightforward. (Except inverse trigonometry and hyperbolic functions and polar coordinates)
Here in Ethiopia this book (famously called Ellis) was (may be still, is) standard calculus textbook. I was amazed when I realize it wasn't so elsewhere.
Looking at these books brings me joy... and a lot of nostalgia from when I had to go through these courses! Love it!
I have one of the early editions of Leithold's book in Spanish (I don't remember if the second or the first). I remember the day I bought it, I was a 17 yo high school student in Mexico and I was walking around downtown in my city in an area with a lot of second-hand book shops. I went into one of them and stumbled upon this huge green book with yellow pages, this was Leithold's.
I remember thinking this was nothing like the basic calc books we used for high school math. To this day, I even remember the prodigious smell of that book. I got it for something like 1 US dollar at the time, along with a book by Rudyard Kipling in English and a Merrian-Webster dictionary to go with it. These were all super old, I think from late 60's early 70's.
I still remember those afternoons I spent solving problems from my Leithold's calc and reading the Kipling book with my dictionary faithfully by my side. 🙂
This book was also what ultimately inspired me to get into a degree in Physics one year later. Looking through my Relativity and other Physics texts, I realize how much I owe to Leithold's book. These videos are gold for those of us who have a special connection with books.
Great vid as always
Ironically as I was watching this I was wondering who started the trend of how Calculus books should be structured. Then when you got to Leithold you answered this question before the video was over. I learned from Thomas 3rd edition in the early 1970's, and have a modern copy of Stewart, just to exercise this old brain.
Thanks for sharing about those books Sir .
The Leithold book is still heavily used in Brazil, it is nearly as popular as the Stewart book. The Brazilian edition has an additional chapter (made by brazilian authors) on differential equations because they wanted to "complete the curriculum". It is divided into 2 volumes, because it would be too big as a single tome.
wow that is awesome!
I love maths!
I have the 7th edition of Leithold's book (in Spanish) and the third edition of Stein's book (in Spanish). I love both books because when I was a mathematics pedagogy student, I found in both books very good examples of the use of delta-epsilon, which books like Larson or Stewart do not have.
I never knew these Calculus book exist. Thank you Math Sorcerer for sharing these amazing books! More books to add to my collection.
Calculus with Analytic Geometry by Howard Anton (3rd edition) was the book I used in HS and college years ago.
For those comparing at home Anton 2nd (1984) had 1108 pages of instruction while Anton 6th (1999) has 1130 pages for a growth of only 2%. Why do I have 2 Anton's? Moved and missed it so I bought another copy
@@raul0ca I recently found my old 3rd edition copy of Anton's Calculus in a thrift store for $5. So I bought it!
@@martinhawrylkiewicz2025 That's a good price. I found my copy in a used bookstore for maybe twice as much.
It had post-it notes until infinite series so I know the previous owner got their $$$ worth.
@@raul0ca Seriously? I bought a new edition for $8 in India.
@@fictionindianspaceprogram-222 When it comes to textbooks India has a nationwide volume discount
Agree about color in the books. All my intro books were very colorful and had lots of pictures. But many were pictures of students having a good time at college. Not really helpful. I knew that my education had got serious when I was assigned a text in just black and white (Wackerly's statistics). Color does help for certain diagrams but its as if, once they go with the expense of color, they go too far and make it distract from the content.
Though many students at my university used Stewart's, I ended up with Adams & Essex. Its the one with a desert on the cover. Adams was also into typography and it shows on every page. I think they only used 3 colors through the entire book.
Thank you for these books sir :)
Mere mention of that Leithold book gives me calculus PTSD.
I used Swokowski (3rd edition - one with a nautilus on the cover) for Calc 1, 2, and 3 back in '77' to '78 (graduated in '79 - Northern Mich Univ). IMHO a very good book, I still have all my texts from under grad program (math major), grad program @ Wright State Univ (math), and finally AFIT (Ops Research - Masters) .
I used the Ellis and Gulick book in 1979. Glad to see it get a good rating!
wow!!
For context, everyone in the class was *shocked* that a textbook would cost nearly $30.
Same story here - engineering calc I, ll, lll. It’s still in my bookcase in my library all these years later.
Leithold is free on pirate bay
In my country, a three volume (800+ pages each) behemoth called "Analisis matematico" by notable mathematicians Rey Pastor, Pi Calleja and Trejo was revered when I was a student, very many years ago. It was more of a reference book than a student´s everyday companion. Originally appearing around 1950, it was revised and updated regularly. Most spanish speaking math major students probably know it
Beautiful and solid books!
Great video, great books! Thanks for sharing! I have a 7th edition of "El cálculo" by Louis Leithold.
Thank you very much for share your bibligraphy. I have the Leothold and Swokowski, excellents book for study the wonderful world of the Calculus...!!!👌🏻👌🏻👌🏻
I just picked up 2 Calculus books...
'Calculus' 7th Edition by Larson-Hostetler-Edwards, circa 2002.
'Elements of the Differential and Integral Calculus' by Percey Smith, Willaim Longley, and Willaim Granville, circa 1941.
Picked up both books for $1 each at a local used bookstore.
I got Swokowski. It has a tad more proofs than standard books like Stewart and Larson but not as many as Apostol's text has. I also like the book _Calculus: A complete course_ by Adams and Essex. It's different because it also contains some challenging problems that standard STEM books (like Stewart, Swokoski, Thomas's) completely lack. It's interesting to note that _Calculus_ by Larson is arguably a tad easier than Stewart's or Swokowski but Larson did include a very small handful of challenging problems (Putnam challenge problems) here and there. I got Larson too. Paid 100 bucks for it eons ago -:) Nowadays I often prefer used books in excellent condition. I got tons of them in electronic version. By the way, I bought a Swokowski really cheap more than ten years ago--paid like 15 bucks for it in excellent condition :)
Awesome comment, thanks for sharing this:)
Great video thanks. I'm Italian and I think we have a different content approach for math textbooks (for example calculus is discussed within analysis). I would really appreciate a video about different content presentations in the Us and in Europe. Which is the best "continental" TOC approach?
Man, that Leithold book is crazy expensive. I used Calculus by Purcell and Varberg back at Purdue. And I am sure you're single-handedly driving the used math textbook market - I think I am up to ~80 books now due to your reviews.
I'm obsessed with that cover on the Ellis/Gulick. What edition do you have? I'm going to try to hunt it down
I was rather pleased when you mentioned Leithold there. We used TC7 (authored by Leithold) back at uni, which was a broader version of The Calculus, I believe. I agree though. It was difficult to read back when I started reading it. We also used The Calculus with Analytic Geometry (also by Leithold) back at uni, and we dearly called TCWAG (pronounced T-C-wag lol). I will get my hands on a copy of whatever latest edition Leithold has on this unit sometime. This will be definitely the math book that I would love to own.
We used Swokowski 2nd edition ($33.35 new) for 3 semesters of Calculus at Louisiana State University early 1980's.
very nice!!!
I learned calculus from Leithold. Loved it. Still got the book. 6th edition.
I am now a doctor of biostatistics, and I studied calculus over 20 years ago. We used to study using a book by Salas. I am not sure if it is still around. I remember it as good and relatively easy to understand.
Can you recommend some good textbooks for the differential equations? I had one with some bad misprints and it's not for pure mathematics from mathematics department.
It has seemed that every math professor wants to write a calculus textbook, because there’s so much money in it if you get a hit. A visiting professor from another country would come into the office and say, “My, you have so many books on calculus. Are you a calculus professor?” And the answer would be, no, I’m just trying to figure out how it all works.
Just to clarify, if you were a professor in your math department, every academic publisher that had a new calculus textbook would send you a copy of it, in the hope that you would adopt it.
But the joke works both ways. FWIW some of the most successful authors did VERY well.
Most College Students have limited budgets, therefore owning a couple of those Giant Books is problematic. Of course that is for just Calculus I, II, and III. That gets you to the middle of your Sophomore year. Then comes Differential Equations, Linear Algebra, Real Variables, Complex Variables, Fourier Series, Topology, and Number Theory. That's a total of 8 topics in Math. With three books per topic at $50 each, that's a $1200 Investment. Being a Math Major is HARD on the Pocket Book!!!
You think math books are expensive? Let me send you the reading list for an MBA program. The material is forgettable and expensive
No more than physics or engineering. All are expensive now. In the late 1960s I had a scholarship to buy books. It was $100 per year which paid about half my freshman and sophomore book costs. I feel for the current generation of students.
Sure is, if only there was a place where you could check books out and read them for free? 🤔
Try libgen. There's hardly any textbook I can't find there.
If you don’t buy the most recent edition, you can save $$.
The MIT Opencourseware course uses Simmons, George F. Calculus with Analytic Geometry. I got hold of it and am always a bit sad it doesn't come up in one of these videos
In the late 1960s I used Protter and Morrey, College Calculus with Analytic Geometry. It was excellent.
awesome!!
You have classics, that are hard to find on Amazon...🙌
Great video! If a student were to make straight A's in Calculus 1 to Calculus 3, but struggle in Physics courses, what would this mean? Advice from you, or others in the comment section, would be helpful.
back in the 80s we were taught from the thomas and finney 'giant book' ;-)
I'm surprised you didn't pull out one of stewart's books in this one
My calc book was recently published, id love if you were able to review it!
I took calc 1,2,3 I still feel I'm not good enough what's your advice to me ?
is calculus by tom Apostol a good book to learn calculus ?
Leithold has the most thorough epsilon delta proofs. It helps you with learning analysis
You should review Cenage calculus book
It's also big
A what level are those books aimed at? Would a student leaving high school in US have come across calculus? In the UK I first came across very elementary calculus for Maths O Level. O levels were the exams taken at 16 before they were replaced by GCSEs.
Anyone studying calculus:) High School or College. Some students in the US study Calculus(not all though).
@@TheMathSorcerer Not all studied calculus at UK schools when I was there in the 1970s, only the top 20% took O levels. The rest took CSEs and CSE Maths didn't include calculus. If after O Level Maths you took A level Maths you did lots more calculus. A Levels were, and still are, the exams taken at age 18 that were a prerequisite for going to university.
I guess these books are aimed at anybody who know algebra, trigonometry and a basic knowledge of limits/integrals/derivatives.
Do you have the list of books in UK for o levels ,A level and first degree
Math sorcerer, I have a question. Why did you decide not to get your doctorate and do research?
Can u review IA maron calculus??
I wanted to ask you about openstax calculus books (and their other math books) . What is your evaluation of these books ?
They're really good, and freshly freely accessible.
Prof Gilbert Strang
Solid
I've taught from Swokowski and from Hunt. I preferred the Hunt book but Swokowski has better examples. The problem sets in the Hunt book are genius, though. They are well theought out and levelled. Every section has problems with new skills, chapter skills, and incorporating other skills learned.
I was looking for my cutting board. I think you have it as a backdrop for title page. When finished could you please return it? Thank you!
For an actual Calc book comment, I think I used the Ellis and Gulick 2nd or 3rd edition. :)
LOL! That's really cool that you used that book!!!!
A lot of competition in the world of calculus textbooks. I wonder which author made the most money?
Is it normal for a math majors in america to have 3 calculus classes? we just have 1 and then get straight into analysis
Yeah most schools in the US have Calculus 1, 2, and 3. Some schools even have a Calculus 4!
@@TheMathSorcerer Strange, in the netherlands this is uncommon. We have everything of calc I-III (including some ODE’s and vector analysis) and then just ignore it for the rest of the major! i dont know what i prefer
Best title EVER!!
The name Leithold is pronounce: Leet hold Or in US is pronounced as “light hold”. Sí lees en Castellano sería Lit Jold o ingles americano lait jold.
MathSorcerer&Leithold❤
Sullivan (x3)?
Thief coming to your house to steal be like :
Ayy what books are this?
MATHS!?!
WHAT DA HECK IS THIS
Problem is, the analytical geometry in these books doesn't begin from the basics. Precalculus books don't start from the basics either.
It is very hard to find an introductory analytical geo text. Most students I know dont have the basic idea of coordinate systems, parametric equations, conversion between systems, and derivations of basic formulae like distance calculaution.
I only know of one text: Loney. But it is too old-style. Loney's trig suffers from the same issue. Thankfully, we have Ayres for that. But nothing for analytical geo.
First time I hear the word THOMAS on this channel, To a degree that I thought that the prof lied to us about the its fame and the respect around it.
Did you made a video about the legendary THOMAS? calculus?
I did:)
@@TheMathSorcerer
Well,
I will do a better job searching for it then.
And THANKS.
Search for “the perfect calculus book”
Leithold is free on pirate bay. Pdf
with a CAS you can run through any of those books in 8 months....I did....and...I found calculus to be LIMIT(AVERAGE VELOCITY) = TINY CHANGE IN DISTANCE/TINY CHANGE IN TIME, CALCULUS IS TRYING TO DESCRIBE MOTION THROUGH FUNCTIONS AND LIMITS BUT IN REALITY THERE IS NO MOTION....
What is CAS
HILARIOUS title... 🤣🤣🤣🤣
👏👏👌👍
Light Hold is the proper pronunciation.
Thank you!!!
did you actually read all these books?
❤
why is the laguage mathematics going on to diversify ?? is it because we explore new things and need a language to describe it, or is it internal diversification because we can, like speculations about the 'meaning' of the bible is going on, too, god being god not changing?? is math diversification triggered from the outside of or from inside the club of 'wizards'?
Jurassic park parody
Look at the colours 🥱🥱🥱
❤