What is the best book for self-teaching Calculus?

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SUMMARY

The forum discussion centers on recommended resources for self-teaching Calculus, particularly for individuals preparing for a B.S. in Physics or Engineering. Key suggestions include "Calculus Lifesaver" by Adrian Banner for a comprehensive introduction and "A First Course in Calculus" by Serge Lang for a more rigorous approach. Participants emphasize the importance of a solid foundation in algebra and trigonometry before diving into Calculus. The discussion highlights the necessity of tailoring study materials based on the specific applications of Calculus, such as physics or engineering.

PREREQUISITES
  • Strong understanding of Algebra
  • Proficiency in Trigonometry
  • Familiarity with Calculus concepts
  • Knowledge of the applications of Calculus in Physics and Engineering
NEXT STEPS
  • Research "Calculus Lifesaver" by Adrian Banner for self-study techniques
  • Explore "A First Course in Calculus" by Serge Lang for a rigorous understanding
  • Investigate online resources for Calculus applications in Physics
  • Look into study groups or forums focused on Calculus for collaborative learning
USEFUL FOR

This discussion is beneficial for students pursuing a B.S. in Physics or Engineering, educators seeking teaching resources, and anyone looking to strengthen their understanding of Calculus for practical applications.

Mr. Ryan
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I have absolutely no doubt this question has been asked many times over, so I apologize in advance for that. This is my first day with the forums. The question is pretty much self explanatory. I need to become very familiar with Calculus over this summer, and I am already looking at the Calculus Lifesaver by Adrian Banner. Is that a good choice? Any other suggestions?
 
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For a more mathematical treatise, I recommend "A first course in calculus" by Lang. It's fairly rigorous, but not too difficult since he leaves out the highly technical bits.

I hope you're very familiar with algebra and trig, because you're going to need it a lot.
 
Mr. Ryan said:
I need to become very familiar with Calculus over this summer

I think it is important to ask why you need to become familiar and how familiar is very. If you are only interested in applications to physics and engineering etc. you will probably want to take a much different route than you would if you are starting a B.S. in Mathematics in the fall and want to get a head start.
 
DrewD said:
I think it is important to ask why you need to become familiar and how familiar is very.

I will not be working toward a B.S. in Mathematics. I am soon to be working toward a B.S. in Physics. I am strong in both Trig and Algebra, but I did not want to have to learn Calculus and Physics side by side.
 
DrewD said:
I think it is important to ask why you need to become familiar and how familiar is very. If you are only interested in applications to physics and engineering etc. you will probably want to take a much different route than you would if you are starting a B.S. in Mathematics in the fall and want to get a head start.

I too need to learn calculus, but I need to learn the areas of it that apply to engineering students. What do you suggest as a learning resource for someone that wants to start learning calculus this fall after I finish my algebra and trig workbooks. (I am 27 and returning to college so I am relearning the basics to build upon.)
 

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