A good book to learn calculus by

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Discussion Overview

The discussion revolves around recommendations for books to learn calculus, focusing on various texts that participants have found useful for self-study. The scope includes personal experiences, preferences for different learning styles, and suggestions for supplementary materials.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant recommends "The Complete Idiots Guide to Calculus" by Michael Kelley as a wonderful resource for self-teaching calculus.
  • Another participant lists several favorites including "Calculus Made Easy" by Silvanus P. Thompson and "Calculus" by Michael Spivak, suggesting that personal preference plays a significant role in choosing a text.
  • A different participant argues that "Calculus" by Anton, Bivens, and Davis is superior for serious students, emphasizing the importance of a solid foundation and logical presentation of material.
  • This participant also critiques other texts like Sherman Stein and Thomas, stating they may not adequately prepare students for advanced topics in calculus.
  • Another participant mentions the availability of free calculus texts online, suggesting that these can be valuable resources.
  • One participant shares their success with a specific book while attending lectures, recommending the combination of self-study with video lectures for better understanding.
  • Another participant indicates they are preparing for calculus 1 with specific texts, showing a proactive approach to learning.

Areas of Agreement / Disagreement

Participants express a variety of opinions on which calculus books are most effective, indicating that there is no consensus on a single best resource. Different preferences and experiences lead to multiple competing views on the suitability of various texts for learning calculus.

Contextual Notes

Some participants highlight the importance of foundational knowledge and logical reasoning in calculus, while others focus on ease of understanding. There are also mentions of the varying depth and rigor of different texts, which may affect their suitability depending on the learner's goals.

Who May Find This Useful

This discussion may be useful for individuals seeking recommendations for calculus textbooks, particularly those who are self-studying or looking for supplementary materials to enhance their learning experience.

Forestman
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I am currently in the process of teaching myself calculus. Anyway one of the best books that I have ever come across is The Complete Idiots Guide to Calculus, by Michael Kelley.

It is a wonderful book.
 
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I have not seen that book. If you have one you like, you don't need advice.

Some of my favorites include: Calculus made easy by Silvanus P Thompson; Differential and Integral calculus by Richard Courant; Introduction to Calculus and analysis by Courant and John; Calculus, by Michael Spivak; Calculus by Tom Apostol; Calculus and analytic geometry by Thomas and Finney, 9th edition; Calculus and analytic geometry by G.B. Thomas, 2nd or 3rd edition; Lectures on freshman calculus, by Cruse and Granberg; Calculus by Edwards and Penney, 1st edition - you can get the 4th edition or so for as little as 99 cents, an excellent deal.
 
I am a self studier of Calculus. I have quite a few books including Thomas. If you have intention to go far in Calculus, I think the clear winner is Calculus by Anton, Bivens and Davis. It might not be the easiest book to read and learn. BUT easy is not the most important with calculus if you are serious. I avoid this book at the beginning and stay with Sherman Stein and Thomas. Stein is particular easy. Problem is when the subject get harder towards the end, Stein started to fall apart. Thomas is better but not in the same league yet.

Anton present material in a very logical way, you have to learn the terminlogies and logical method. But once you follow, it is a better book by a lot. Some of the easier book tend to skip the more precise definitions that you think you can skip, but you really cannot. It will come back and bite you every single time. It is very very important to get the foundation right. If you start off with shaky foundation, it will be very hard to move pass the second semister. The multi-variable is where Anton shine. You will notice that's where the other books starting to get confuse. Anton with the straight procedure, no short cut approach really shine. When you get to the most confusing part...Line Integral, Vector Field, Divergence Theorem and Stoke's Theorem, Stein's book just fall apart, I wasted so much time on that stupid book going around and around. Even Thomas is not doing well. Then when I finally bite the bullet and get onto Anton, it was like a light bulb light up.

Anton is the only book I read that push in finding the surface integral using jecobian and cross product of two vectors which is the hardest to understand...but after wasting all the time with the other books, I conclude this is the best way. This book is a must have for self studier.

You really need to get at least 3 books for self study. Thomas might be a good second book because when you get too flustrated, Thomas might be able to throw you a life line with easier explanation. But stay with the Anton. I am still using the Anton as a reference when I am studying electrodynamics.


Now, if you just want to learn some calculus and have no intention to go beyond the second semister, Then Sherman Stein and Anthony Barcelos is a very easy book to learn at least the first one and half semister to the point of "methods of Integrations". It is very easy. Anything farther than that, dump that book. The lack of formal logic of Stein will not matter if you don't pursue higher math.
 
I cleared calculus 1 and 2 with help of this book

https://www.amazon.com/dp/0071635343/?tag=pfamazon01-20

I can really recommend it. I did attend lectures while using it simultaneously. I think watching the MIT lectures while using this book will work as well. Good luck.
 
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just order Calc and analytic geometry 3rd ed
and schaums guide book1

gonna try to get a leg up on calc 1 before fall starts :p
 

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