Can I skip the introduction in Apostol's calculus?

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SUMMARY

The introduction of Apostol's calculus is essential and covers foundational concepts such as summation notation and Riemann sums, which are critical for understanding later material. Skipping this section is not advisable, especially for those who struggle with sketching graphs, as these skills are vital for visualizing integration concepts. The introduction also includes important set theory that supports comprehension in subsequent chapters. Therefore, engaging with the introductory material is necessary for a solid grasp of the subject.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with Riemann sums
  • Basic knowledge of set theory
  • Ability to sketch graphs of functions
NEXT STEPS
  • Review Riemann sums and their applications in calculus
  • Study set theory fundamentals and its relevance in mathematics
  • Practice sketching graphs of functions to enhance visualization skills
  • Explore additional resources on Apostol's calculus for deeper insights
USEFUL FOR

Students beginning their journey in calculus, educators teaching calculus concepts, and anyone seeking to strengthen their foundational mathematical skills.

Antineutrino
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I'll be starting Apostol's calculus book in a little less than two weeks, as I'm finishing up an easier textbook. I looked ahead and I see that there is a four part introduction, and I was wondering if I could just skip that. I briefly skimmed it, and it just looks like a review of summation notation, and drawing riemann sums by hand (sounds tedious).

If there is important content in the intro then I won't skip it, but if there isn't then I'd not like to subject myself to the torture that is drawing graphs by hand.
 
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If you're easily able to sketch graphs of functions on paper, then maybe you can skip the intro sections. If not, then my advice would be to not skip them. Being able to sketch graphs is an important and useful skill that is helpful in visualizing integration concepts.
 
The Introduction is mainly about set theory, which is used in later chapters, so - no.
 
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