Which Universities Use Apostol's Mathematical Analysis Text?

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SUMMARY

Tom M. Apostol's textbook on Mathematical Analysis is utilized by institutions such as IISC Bangalore, MIT, and Caltech, particularly for advanced mathematics courses. While many universities prefer Rudin's "Principles of Mathematical Analysis" for undergraduate analysis due to its conciseness, Apostol's texts remain significant in higher-level curricula. Online resources, including MIT OpenCourseWare (OCW) for courses 18.014 and 18.024, provide supplementary materials for Apostol's Calculus volumes. Video lectures related to Apostol's analysis can also be found on platforms like YouTube.

PREREQUISITES
  • Familiarity with Apostol's Mathematical Analysis concepts
  • Understanding of calculus fundamentals as presented in Apostol's Calculus texts
  • Knowledge of online educational resources like MIT OpenCourseWare
  • Basic skills in navigating academic course materials and video lectures
NEXT STEPS
  • Explore MIT OpenCourseWare for courses 18.014 and 18.024 related to Apostol's Calculus
  • Research video lectures based on Apostol's Mathematical Analysis on YouTube
  • Investigate the curriculum choices of universities favoring Rudin's analysis texts
  • Look for additional online resources or forums discussing Apostol's textbooks
USEFUL FOR

Mathematics students, educators, and curriculum developers interested in advanced analysis and calculus, particularly those considering the use of Apostol's texts in their studies or teaching materials.

saaqib1978
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Which universities or instructors---anywhere in the world and particularly in the USA, Canada, UK, Australia, New Zealand, or India---use or have used Tom M. Apostol's landmark textbook on Mathematical Analysis? Are there any video lectures from a course based on the text available on the Internet? Any other kind of support for the text?

Last but not least, I would like to have the same information on Apostol's two-volume calculus text.
 
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IISC Bangalore in India uses Apostol's text, but no online learning material is available from them.
you can try Khanacademy or MIT OCW to solve the problems.
 
MIT and Caltech use Apostol's Calculus. MIT OCW has pages for 18.014 and 18.024, which cover Calculus, Volume 1 and Calculus, Volume 2.

I think that most school use Rudin's Principles of Mathematical Analysis instead of Apostol's Mathematical Analysis for undergraduate analysis courses. I believe they choose Rudin because it's more compact than Apostol - Apostol's book even copies some sections from his Calculus texts.
 
Almost sure the video lectures associated with http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3 webpage are based off of Apostol's analysis, which are also on youtube (think that's them).
 
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