Please recommend a free pdf book about university-level mathematics for me

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A second-year physics student seeks recommendations for PDF books on calculus, covering topics like limits, derivatives, integrals, matrices, and tensors. Suggestions include searching for lecture notes using keywords like "Analysis I +pdf" or "Calculus +pdf" to find relevant materials. Additionally, resources such as free math books and lecture notes are available through specific forum links. A notable recommendation is "Calculus" by Marsden, emphasizing the importance of understanding integral and differential calculus at this academic level.
NODARman
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Homework Statement:: Recommend PDF books
Relevant Equations:: .

Hi, I'm a second-year physics student and my uni doesn't have any study material in the syllabus. Only lectures. I want to learn more.
Can you recommend to me a good mathematics pdf book that is about calculus?
General topics: limits, derivatives, integrals, matrix, tensor (in the future).

Thanks.
- NODARman
 
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NODARman said:
Homework Statement:: Recommend PDF books
Relevant Equations:: .

Hi, I'm a second-year physics student and my uni doesn't have any study material in the syllabus. Only lectures. I want to learn more.
Can you recommend to me a good mathematics pdf book that is about calculus?
General topics: limits, derivatives, integrals, matrix, tensor (in the future).

Thanks.
- NODARman
FYI, if you are a second year physics student and do not know integral and differential calculus you are probably behind.
 
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Frabjous said:
FYI, if you are a second year physics student and do not know integral and differential calculus you are probably behind.
He said that he wants to lean more.
 
Hello Intellectuals! So far it seems to be reasonable to learn mathematics in a rigorous way by not solely considering the techniques of problem solving or the applications of a particular subject or concept. Also to truly appreciate the beauty of mathematical endeavor one need to learn the reasoning behind the origination of concepts in mathematics, so as a beginner it appears to be worthwhile to learn the highly abstract aspects of mathematics like proofs, logic, and topics in pure...

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