Good book recommendation for calculus

AI Thread Summary
The discussion centers on finding a calculus book that enhances understanding of concepts beyond basic techniques. The original poster has completed three calculus courses but seeks a more intuitive grasp of the material. "Calculus: An Intuitive and Physical Approach" is considered, though concerns about its lack of proofs are noted. Recommendations include "Calculus" by Spivak and Apostol for rigor, and Courant for a balance of intuition and rigor. Michael Comenetz's "Calculus, the Elements" is also suggested as a suitable option, with a thorough review highlighting its alignment with the poster's needs. The conversation emphasizes the importance of both intuitive understanding and rigorous proofs in mastering calculus.
thedude36
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I'm looking for a book that could help me get a better grasp on calculus and its related concepts. I've been through all 3 calc courses (covered derivatives, integrations and techniques, vectors and fields and 3 dimensional applications) but i don't feel as though I've completely grasped everything involved. I'm hoping to build a more intuitive understanding if possible. I've been considering the book "Calculus: An Intuitive and Physical Approach" but have heard that it lacks in the area of proofs, which I was really hoping to come to understand. Would anyone have any recommendations for a good book to help me reach this end?
 
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You could try Spivak...
 
or Apostol
 
It is hard to recommend with only what you have told us. But it sounds as if you know some techniques and want to understand intuition and rigor. Apostol and Spivak are good for rigor, and Courant is good for both. Another book I might suggest is by Michael Comenetz, Calculus, the elements.

https://www.amazon.com/dp/9810249047/?tag=pfamazon01-20here is my review:

http://www.worldscibooks.com/mathematics/4920_rev01.html
 
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mathwonk said:
here is my review:

http://www.worldscibooks.com/mathematics/4920_rev01.html

Thanks for the recommendation! The review was very thorough and it sounds like this book is exactly what i was looking for! Thanks again
 
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mathwonk said:
It is hard to recommend with only what you have told us. But it sounds as if you know some techniques and want to understand intuition and rigor. Apostol and Spivak are good for rigor, and Courant is good for both. Another book I might suggest is by Michael Comenetz, Calculus, the elements.

https://www.amazon.com/dp/9810249047/?tag=pfamazon01-20here is my review:

http://www.worldscibooks.com/mathematics/4920_rev01.html
mathwonk's review is now at
http://www.worldscientific.com/page/4920-review01
 
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