(Re-) beginning Calculus and Analysis.

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SUMMARY

The discussion centers on the user's desire to re-learn Calculus and Analysis, having previously studied the subject but now feeling unprepared. The user is considering "Spivak" as a suitable starting point due to its rigorous yet accessible approach to calculus. Additionally, "Baby Rudin" was recommended, but the user feels it may be too advanced at this stage. For practical application exercises, a "Schaum's Outline" is suggested as a complementary resource.

PREREQUISITES
  • Basic understanding of mathematical concepts from high school calculus.
  • Familiarity with analytical thinking and problem-solving skills.
  • Exposure to theoretical mathematics, particularly in a university setting.
  • Willingness to engage with rigorous mathematical texts.
NEXT STEPS
  • Study "Calculus" by Michael Spivak for a rigorous introduction.
  • Utilize "Schaum's Outline of Calculus" for practical application exercises.
  • Explore supplementary resources on limits, derivatives, and integrals.
  • Consider joining study groups or forums focused on calculus and analysis for collaborative learning.
USEFUL FOR

Students in Information Science, individuals transitioning from Life Sciences to mathematics, and anyone seeking a structured approach to re-learning calculus with an emphasis on both theory and application.

w4r10ck
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Hello.

I'm currently doing my masters in Information Science, and I did my graduation in Life Sciences. While I did have a course on Calculus at the 11th and 12th grades, I've forgotten most of it now.

I wish to start out with Calculus and Analysis again. My approach to Calculus and Analysis has a more applied tone, but I don't mind understanding the innards of it. I'm currently at a university where most of the people do theoretical mathematics and statistics, and have been recommended the Baby Rudin, but frankly, I don't think I'm suited to start such a text right now.

Please consider me as one who's totally new to Calculus (in that one who knows nothing about Calculus at all.)

I'm considering starting out with Spivak. Is that a good idea?
 
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Spivak is an excellent text for giving a rigorous but easy-to-get-through grounding in calculus from a more analytical point of view than most applied calculus texts.
Since you have already taken calculus, most of the text should provide an illumination of ideas you have seen covered lightly before. If you need application exercises, a Schaum's Outline should be fine.
 

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