Studying Textbook for Calculus [Self-Learn]

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The discussion centers on a 16-year-old in Toronto seeking advice on self-studying Calculus, specifically about the suitability of the textbook "Calculus - A First Course" by Stewart, Davison, and Ferroni. There is a consensus that a solid foundation in high school algebra and trigonometry is crucial before tackling calculus, as many students struggle with fundamental concepts. While some participants recommend Michael Spivak's Calculus for its rigor and depth, they acknowledge it may be too advanced for beginners. Alternatives like Thomas and Finney's textbook and a supplementary guide by Elliott Gootman are suggested for those needing a more accessible introduction. The conversation also includes light-hearted commentary on avatars and personal identities, but the main focus remains on finding the right resources for learning calculus effectively.
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I've been entertained recently by the prospect of learning Calculus by myself. I'm living in Toronto, Ontario; 16 years old. I've got a good deal lined up on a textbook already from a guy that goes to York University (have not yet confirmed); it's:

Course: MATH 1515 - Introduction to Calculus
Title: Calculus - A First Course
Authors: Stewart, Davison, Ferroni

when I became skeptical about what book I should buy. Is this a good book? Are there better ones?

Keep in mind that I'm not very strong at math, so an idiot-proof Calculus book would be appreciated, something that isn't too dry (I get bored if I'm not interested in what I'm learning), and does not require grasping leaps of concepts (preferably guiding and methodical).

Thank you!
 
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Well it does sound friendly enough :D Is there anyway that you can possible take a look at the material inside the book?
 
Important question: Have you mastered high school algebra and possibly trigonometry yet? If you haven't, it is important that you do so before attempting calculus.
 
hear, hear! harken to what tensorkhan is advising, especially algebra, and even arithmetic.

it is sad to see students taking calculus who cannot figure out, when x gets large, whether (1/x) gets large or small.

or who do not know how to factor ( x^2 - a^2), or write the equation of a straight line through two given points, or figure out how -x could be positive (if x is negative).
 
I had already taken a course in Calculus I, II and III with the Calculus textbook by James Stewart which wasn't very precise with its definitions, and some of the exercices were elemental... If you want to understand Calculus, instead of Calculus as merely a tool, go for Michael Spivak's Calculus book, i believe it's very precise and full of proofs, no more take this as it is... :smile:
 
While Spivak's book is hands down an amazing textbook, and one that should eventually be consulted for calculus, the OP expressed that he (yes he's a he, even though at first I thought he was biritney spears due to his avatar :smile:) is not very strong in math, so a textbook like Spivak's may be too difficult as an intro.

PS
I also thought that mathwonk was a cuddily little gerbil (or whatever creature that is), but that also turns out to be false
 
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Mathwonk's avitar is not a girble it is obviously pikachu, and you never know maybe it is true.
 
who says I'm not a gerbil! actually I'm a hobbitt. (the picachu refernce makes it painfully clear there are some movies i have missed lately.)

( i don't know how to load a personal avatar, and i thought after perusing the standard choices, that "the punisher" was a little scary, especially given some of the questionable things i have been known to say, inadvertently of course.)
 
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i think Thomas and Finney is an excellent book for Calculus .
 
  • #10
elliott gootman wrote a nice little 15 dollar paperback guide to accompnay calculus for people who are finding it hard to understrand their text. it does not substitute for a full textbook treatment but helps a lot to understand the material in one.
 

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