Any suggestions for good beginner calculus textbooks.

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Discussion Overview

The discussion revolves around recommendations for beginner calculus textbooks, with participants sharing their experiences and preferences. The scope includes suggestions for textbooks suitable for individuals with varying levels of prior knowledge and specific goals related to learning calculus.

Discussion Character

  • Debate/contested
  • Exploratory
  • Technical explanation

Main Points Raised

  • Some participants suggest "Calculus Made Easy" by Silvanus P. Thompson as a suitable starting point for beginners.
  • One participant mentions that James Stewart's textbook is commonly used in Brazil but expresses a negative opinion about its effectiveness.
  • Another participant argues that while Stewart's book may be too basic, "Apostol" is recommended for those who are exceptionally bright or have assistance, though it may not be suitable for all beginners.
  • Suggestions also include "Thomas: Calculus With Analytical Geometry" and "Serge Lang's Calculus," with a note that both are affordable.
  • There is a discussion about the importance of knowing prior mathematical concepts such as algebra and trigonometry before tackling calculus.
  • One participant expresses a desire to learn calculus to apply it in physics, indicating a specific goal for their studies.
  • Another participant mentions "The Calculus Lifesaver" by Banner, highlighting its accompanying video instructions as a beneficial resource.

Areas of Agreement / Disagreement

Participants express a range of opinions on the suitability of various textbooks, with no clear consensus on the best choice for beginners. Some participants agree on the need for prior knowledge in mathematics, while others emphasize the importance of understanding individual goals in learning calculus.

Contextual Notes

Participants note varying levels of familiarity with mathematical concepts, which may influence their textbook recommendations. There is also mention of different educational systems and how they approach calculus, particularly in comparison to the British system.

Who May Find This Useful

Individuals seeking beginner calculus textbooks, particularly those with specific goals in physics or engineering, as well as those interested in understanding the varying opinions on textbook effectiveness.

TheAnt
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Hi, i am looking for a good textbook for someone who knows nothing about calculus.
 
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TheAnt said:
Hi, i am looking for a good textbook for someone who knows nothing about calculus.
Calculus Made Easy by Silvanus P. Thompson
 
TheAnt said:
Hi, i am looking for a good textbook for someone who knows nothing about calculus.

You need to tell us what you do know and what your longterm goals are.
 
Well, I don't know, but people here in Brazil at UFRJ uses James Stewart.
 
Yeah, Stewart is about the worst book you can get for calculus, whatever your goals are.
 
Really? I've heard that it's too basic, now that I remembered
I already know, If you want to know calculus, try Apostol, but remember, you have to know all the subjects of Elementary School II and the High School.
 
I would suggest Thomas: Calculus With Analytical Geometry 3rd ed, and Serge Lang's Calculus book. Buy both, they are cheap enough.
Apostol is a great book. However, I would not recommended it to a beginner, unless the student is extremely bright or someone can help them.
 
Hum... I went to look for, and I found this, I did not go out of the still pre-calculus, now that I went to see my books and have them.

oqvrdi.jpg
 
You are able to read spanish fluently?

Sorry, that appears to be Italian or French. lol I am fluent in both Spanish and English.
 
  • #10
MidgetDwarf said:
You are able to read spanish fluently?

You know, reading mathematical texts is very different from usual texts. I am completely certain I can't say a single sentence in spanish. However, I am able to read spanish mathematical texts decently. Given some time and a dictionary, it's pretty easy to fluently read a foreign math book!
 
  • #11
This is not Spanish, it's Portuguese, I'm native Portuguese speaker (from Brazil).
 
  • #12
micromass said:
You know, reading mathematical texts is very different from usual texts. I am completely certain I can't say a single sentence in spanish. However, I am able to read spanish mathematical texts decently. Given some time and a dictionary, it's pretty easy to fluently read a foreign math book!

I may try that Differential Equations book by Kamke then. It is German, and I always see it referenced in other books.
 
  • #13
Joseph Richard said:
This is not Spanish, it's Portuguese, I'm native Portuguese speaker (from Brazil).

Oh ok, I asked because I know of a very good Calculus book in Spanish. There is also a series of good physics book that are affordable in Spanish, but not English.
 
  • #14
micromass said:
You need to tell us what you do know and what your longterm goals are.
I am in the french system but i think i have igcse/as level mathematics. My goal is simply to apply calculus to physics as i was told it was needed to move on.
 
  • #15
TheAnt said:
I am in the french system but i think i have igcse/as level mathematics. My goal is simply to apply calculus to physics as i was told it was needed to move on.

Sorry, but this tells us nothing. I know high school students who can't solve a simple arithmetic problem, and I know of some who are doing general relativity. So you'll need to be more specific.

I understand that you want to be a physicist? Or an engineer? Why is it that you want to learn physics?
 
  • #16
micromass said:
Sorry, but this tells us nothing. I know high school students who can't solve a simple arithmetic problem, and I know of some who are doing general relativity. So you'll need to be more specific.

I understand that you want to be a physicist? Or an engineer? Why is it that you want to learn physics?
Sorry for the lack of precision in my earlier reply. What i want for the moment is just a basic knowledge of calculus as it is tackled much later and in less depth in France than in other countries (eg. England). The main goal is to get on par with the British level once I reach university. As for my current level, it is pretty good in the french system (top marks) but this is without counting the knowledge I lack.
 
  • #17
TheAnt said:
Sorry for the lack of precision in my earlier reply. What i want for the moment is just a basic knowledge of calculus as it is tackled much later and in less depth in France than in other countries (eg. England). The main goal is to get on par with the British level once I reach university. As for my current level, it is pretty good in the french system (top marks) but this is without counting the knowledge I lack.

What Micromass is asking you, is what mathematics do you know. Ie, do you know algebra, geometry,trig etc. At what level do you know these topics? Ie, trigonometry from a general run of of the mill trig book, or maybe Gelfand, or even better, Loney?
 

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