Good textbook for better understanding calculus?

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After completing Calculus 1 with Hughes-Hallett, the discussion centers on finding a more conceptually rich calculus book, especially for someone considering a physics major. Spivak's book is highly recommended for its depth and mathematical rigor, though it requires significant time and effort to solve the problems for a thorough understanding. Concerns about its difficulty are noted, but many believe it is manageable with dedication. Courant's book is also mentioned positively, though specifics on its comparison to Spivak are less detailed. Kline's "Calculus: An Intuitive Approach" is considered interesting for its focus on concepts and physical applications, but the effectiveness compared to Spivak or Courant is not clearly established. Overall, the discussion emphasizes the importance of choosing a book that balances conceptual understanding with problem-solving practice, particularly for future physics studies.
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I've just completed calc 1, the book we used was Hughes-Hallett but I'm looking for a book that that really explains the concepts and gives me a deeper understanding of the subject. I'm seriously considering majoring in physics so I don't know if that would come into consideration when considering a book.

I've heard good things about Spivak and Courrant, but I'm worried that it may be too difficult, or would going through the normal calculus sequence using Hughes-Hallett be good enough preparation?

The other one I've looked at is Kline's calculus: an intuitive approach. It seems interesting because it attempts to explain concepts together with their physical applications How would this one compare with Spivak or Courant?

Thanks
 
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Spivak's book is amazing. It is more of a maths book, but does include some references to their applications. I don't think the book is too hard to get through, but it's by no means an easy read, be prepared to spend a lot of time solving the problems he gives for a better understanding.
 
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