I Can't Believe They Did This

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In this video I will show you different versions of a math book that I have that. The book is the legendary Calculus book written by George B. Thomas titled Calculus and Analytic Geometry. In the newer version there are solutions to only the odd problems, but in the older version you have almost all of the solutions. There are also significant changes in content and presentation. I hope you enjoy this video:)

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I've a 5th edition of the book. It has answers to almost all of the problems. I think they start to offer only answers to odd(or even) problems in the 6th or 7th editions. If you self-study calculus, get a copy of the 5th or earlier edition to get all of the answers. The 5th edition was printed in two colors. It was a gem. Put a copy on your bookshelf for handy reference.

felixchengtk
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In the late 1960s I lived in a very rural and poor part of se Ohio. As a freshman in hs I figured out calculus on my own with this book. The answers were instrumental.

Over the length of high school I figured out 2 years of college math and started out as as junior in college. I had no help in studying the subject.

Now that I am close to 70 years old I found out a very valuable lesson. To study math or the sciences professionally, one has to be invited in. I was not invited in and had a successful career in engineering.

glennedgar
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I worked problems from this book over the summer between high school and college. It is a good book. I still have it 44 years later.
The Spanish function notation reminds me of Russian notation.

edwardsmith-rowland
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In high school, they always had two versions of each book. The Teacher's version would have all the answers, even often working them out. But the student versions were always like this, with only odd answers.

I believe the idea was that the teacher could assign even problems without us being able to get the answers, but we could still get help on the similar odd problems.

ZipplyZane
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A commenter on another video mentioned that the 4th edition was the best, because it included derivations of Kepler's Laws of Planetary Motion, and because later editions were dumbed-down for less prepared students.

surrealistidealist
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We used the newer version in my community college class, but it’s always shocking to see the older editions of these modern textbooks that always seem to have a new edition every so often but don’t even really change from year to year.

josueramirez
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I was just browsing around YouTube and I saw your video. I'm pretty sure I used this book in the early 80's, it was purple and thicker. But what caught my attention was the older book here, because it looked to be the same vintage and maybe title as the book my father used in college in the early 50's. We had the book for a long time, but unfortunately I don't have it anymore. I think in those days they didn't learn so much math in high school, so that might explain why that book had the unusual content it had. He was an engineering major, and other math books he had included a book on Trigonometry. The older books looked like they were harder to read, they didn't bother much with pretty sections, illustrations, etc. I still have my father's 18" wooden slide rule that came in a leather case, some old drafting instruments, and tables of logarithms and the like which were much more detailed than the ones I could find myself when I needed them. 20 years or so ago I took the whole series of Calculus courses again (sorta for fun), and the main thing that changed is that I had to learn how to use a graphing calculator.

mystdreamer
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As a teacher I appreciated having answers for only half the problems. I would assign homework with some without answers to see the students mastery and others with answers to build their confidence. Publishers provided an answer guide with all included but available to teachers only .

richardhole
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I have the fourth edition in my library. We were using it in high-school Calculus in 1983-1984, but switched to a newer edition in the spring. I don't know which version, but only half as thick with less content. I asked my teacher if I could "lose" my book instead of turning it in; he let me and only charged me $1 for the cost. Best deal I've ever gotten!

nordicexile
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I used various editions of Thomas in high school and college (the 1970s and 80s). We had the answers to the odd problems in the back. In college we could buy the solutions manual, which showed how to work the problems.

tomgeorge
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When I was in (high) school - 60+ years ago - I remember text books like this.
The student version had answers to odd numbered questions, but the teacher version had answers to them all.

harrybarrow
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When you just love math just because of how beautiful the notation is😁..and when youve work for 40 hours on math problems and you can hear the blood flowing in your brain😁

tiagocruz
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I just bought the 3rd edition on Amazon to go along with the 13th edition of Thomas' Calculus that I have per your advice. Thank you very much for suggesting this. Really like your videos and the information you provide.

Matt-qqdh
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tg, ch, sh are all continental European notations. I grew up in Montreal but went to a French high school from France and this was the notation. French speaking Quebecois are Americanized and thus use sinh, tan etc... Text book in French in Quebec are often translations of American books because of the mismatch especially pre-1980 between mathematics in French Lycées and Quebec high schools. (Far more abstract math in France: delta, epsilon, number theory, abstract vector spaces, etc... all over the place in French high schools.).

Also in France, [a, b] means a closed interval. If it is open on the left, it is ]a, b]. ]a, b[ for example is less confusing than (a, b).

Finally in French, German and Japanese, a field (R, C, etc...) is called a "body" (corps, Körper and 可換体 ) so it is less confusing. Chinese use 域 which is more like region but their vector field is 場 as in Japanese. (field!) (I live in Japan)

jceepf
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I had a wonderful and unexpected run in with this book (3rd Edition) today! I was driving upstate to go hiking and drove past a house with 4 old wooden sheds and a homemade sign that said "All books .50 - $1, self serve always open". The sheds were filled with shelves of all kinds of books you can imagine, and as luck would have it, there was even a small math section! There were a few interesting finds, like "Arithmetic for the Modern Age" by Aaron Bakst, but this book by Thomas caught my eye immediately. I love self studying from the older books, and I'm stoked to have this one in my collection now. I usually browse ebay and abebooks, but today, the math gods brought me to a few sheds way out in the middle of nowhere to get 900 pages of math for one dollar :)

hcf
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I have the 4th edition. It was the mainstay of first year engineering in 1970s.
The sections on Fourier transforms and complex numbers are really important for the study of electrical engineering.

ericnepean
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While I used the 1965 Thomas work for three semesters between 1967-68 (up to calculus of several variables), I did find the treatment of LIMITS to be severely wanting, in that I was never quite able to grasp the concept of limits and continuity. The Pearson edition, OTOH, begins with a review of basic function topics (algebra, composition, and transformations of functions), and does a rather superb job with limits and continuity.

manfredcaranci
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Calc is really enjoyable IMO. Really brings out the beauty of math. I'm not a mathematician and only took Calc one at a university, before I ran out of funds, but absolutely had a great time with Calc.

jeremiahbond
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...Being born in 1957, I grew up with technical books like this in high and college. Now I collect (as a hobby) them for my own private library. Thanks for the video.

energyexecs
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Thanks for the post ! I've always been fascinated by mathematical formulas but not very good at math. I recent started teaching myself some of the basic language's of Calculus, Quantum Physics and Geometry.

IamPngun