Any recommendations for a calculus and physics book for a beginner?

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The discussion centers on recommendations for calculus and physics books suitable for beginners, particularly after completing the AP Calculus BC and AP Physics B curricula. Participants suggest several texts, including Lay's "Analysis, with an Introduction to Proof" and Spivak's "Calculus," noting that Spivak is more challenging and lacks a solution manual, which may hinder self-study. Ross's book is also mentioned as a solid option, praised for its clarity and inclusion of solutions to exercises. The consensus emphasizes the importance of having a foundational understanding of proofs and logic before tackling these advanced texts. Overall, the conversation highlights the need for careful consideration of one's background in proofs when selecting a suitable book for further study.
  • #31
EighthGrader said:
Did you go through Spivak and Velleman at the same time? How much did Velleman help?

And when you went through Spivak, did you answer all of the problems at the end of each chapter?

I went through (part of) Spivak, and then started Velleman. I wish I'd gone through Velleman first. Velleman is much "gentler" than Spivak in introducing one to proofs. Although Spivak is apparently the most "gentle" of the theoretical calculus books, I still found him at times terse and difficult to understand. Lay may be a better alternative if you don't want two books, but I am really liking Velleman. Also, Spivak seems to be a favored text for many people and classes, so that's worth keeping in mind.

I did not do all of the problems in the sections of Spivak that I worked through. I looked at all of them and did maybe 1/3 to 1/2 of them.
 

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