Recommendations for good book which teaches math fundamentals

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For a high school student seeking a deeper understanding of mathematical fundamentals, "Calculus I" by Stewart is recommended for its intuitive approach without heavy emphasis on proofs. Alternatively, if the student prefers a proof-based perspective, "Calculus" by Michael Spivak is suggested. Both books aim to clarify concepts behind differentiation and integration, addressing the theoretical gaps often found in standard textbooks. The discussion emphasizes the importance of understanding the underlying principles of mathematics rather than just performing exercises. These recommendations cater to different learning preferences while focusing on foundational concepts.
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can you suggest a book which teaches fundamentals and basis of fuandamental of mathematics
 
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What do YOU mean by "fundamentals of mathematics". Set theory, logic, etc.?
 
soryy for being vague but i mean i am i high school student in our textbooks we get exercices to do but there is a lack of theory for example i can do high school level differetiation and integration problems but i don't know what actually it means. can anybody recommend any book which can explain some basics
 
abdul rehman said:
soryy for being vague but i mean i am i high school student in our textbooks we get exercices to do but there is a lack of theory for example i can do high school level differetiation and integration problems but i don't know what actually it means. can anybody recommend any book which can explain some basics

Well, if you don't want to get into proofs but rather have a more intuitive understanding of phenomena then Calculus I by Stewart would work. But if you like proofs than Spivak would work as well.
 

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