Recommendations for good book which teaches math fundamentals

  • Context: High School 
  • Thread starter Thread starter abdul rehman
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    Book Fundamentals
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Discussion Overview

The discussion revolves around recommendations for books that teach the fundamentals of mathematics, particularly aimed at high school students seeking a deeper understanding of concepts like differentiation and integration beyond just problem-solving.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant requests suggestions for books that cover the fundamentals and basics of mathematics.
  • Another participant seeks clarification on what is meant by "fundamentals of mathematics," suggesting areas like set theory and logic.
  • A participant expresses that high school textbooks provide exercises but lack theoretical explanations, particularly regarding differentiation and integration.
  • One suggestion offered is "Calculus I" by Stewart for an intuitive understanding, while another suggests "Spivak" for those interested in proofs.

Areas of Agreement / Disagreement

Participants have not reached a consensus on specific book recommendations, and there are differing opinions on the type of mathematical understanding desired (intuitive vs. proof-based).

Contextual Notes

Some participants express uncertainty about the definitions and scope of "fundamentals of mathematics," which may affect the recommendations provided.

abdul rehman
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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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