Textbook for Calculus [Self-Learn]

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    Calculus Textbook
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Discussion Overview

The discussion revolves around the selection of a suitable calculus textbook for self-learning, particularly for someone who may not have a strong background in mathematics. Participants share their opinions on various textbooks and the prerequisites for studying calculus.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses interest in self-learning calculus and inquires about the suitability of "Calculus - A First Course" by Stewart, Davison, and Ferroni, seeking a book that is engaging and methodical.
  • Another participant suggests checking the material inside the book to assess its friendliness and approach.
  • A participant emphasizes the importance of mastering high school algebra and trigonometry before attempting calculus, highlighting foundational skills necessary for understanding calculus concepts.
  • Another participant agrees, stressing the need for a solid grasp of algebra and basic arithmetic to avoid confusion in calculus.
  • A participant shares their experience with James Stewart's calculus textbook, recommending Michael Spivak's book for its precision and depth, although acknowledging it may be too challenging for beginners.
  • One participant counters that while Spivak's book is excellent, it may not be suitable for someone who is not strong in math, suggesting a need for more accessible resources.
  • Another participant recommends "Thomas and Finney" as an excellent calculus textbook.
  • A participant mentions a supplementary guide by Elliott Gootman that could help those struggling with understanding calculus material, though it is not a full textbook replacement.

Areas of Agreement / Disagreement

Participants express differing opinions on the best calculus textbook for beginners, with some advocating for more accessible options and others recommending more rigorous texts. There is no consensus on a single recommended textbook.

Contextual Notes

Participants highlight the importance of prior knowledge in algebra and trigonometry, indicating that the effectiveness of a calculus textbook may depend on the learner's background and comfort with foundational math concepts.

Artermis
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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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