Recommendations for good book which teaches math fundamentals

  • Context: High School 
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SUMMARY

The forum discussion centers on recommendations for books that teach the fundamentals of mathematics, particularly for high school students. Two specific titles are highlighted: "Calculus I" by James Stewart, which offers an intuitive understanding of calculus concepts, and "Calculus" by Michael Spivak, which focuses on rigorous proofs and deeper theoretical understanding. Participants emphasize the importance of grasping the underlying principles of differentiation and integration beyond mere problem-solving.

PREREQUISITES
  • Basic understanding of high school-level calculus concepts
  • Familiarity with differentiation and integration techniques
  • Interest in mathematical theory versus practical problem-solving
  • Ability to engage with mathematical proofs (for Spivak's book)
NEXT STEPS
  • Read "Calculus I" by James Stewart for an intuitive approach to calculus
  • Explore "Calculus" by Michael Spivak for a rigorous understanding of mathematical proofs
  • Investigate set theory and logic as foundational concepts in mathematics
  • Practice solving calculus problems while focusing on the underlying theories
USEFUL FOR

High school students, educators, and anyone seeking to deepen their understanding of mathematical fundamentals and improve their grasp of calculus concepts.

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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