Which Universities Use Apostol's Mathematical Analysis Text?

In summary, universities and instructors in various countries, including USA, Canada, UK, Australia, New Zealand, and India, have used Tom M. Apostol's landmark textbook on Mathematical Analysis for their courses. However, there are limited video lectures available on the internet based on the text. Other support for the text can be found through resources such as Khan Academy or MIT OCW. Additionally, Apostol's two-volume calculus text is also used by institutions like MIT, Caltech, and IISC Bangalore in India, but the availability of online learning materials varies. It is noted that for undergraduate analysis courses, Rudin's Principles of Mathematical Analysis is more commonly used due to its compactness compared to Apostol's text.
  • #1
saaqib1978
2
0
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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  • #2
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.
 
  • #3
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.
 
  • #4
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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Related to Which Universities Use Apostol's Mathematical Analysis Text?

1. What is Apostol's Mathematical Analysis Text?

Apostol's Mathematical Analysis Text is a renowned textbook used in undergraduate mathematics courses. It covers topics such as real and complex number systems, limits and continuity, differentiation, and integration.

2. Which universities use Apostol's Mathematical Analysis Text?

Some universities known to use Apostol's Mathematical Analysis Text in their mathematics courses include Massachusetts Institute of Technology (MIT), University of California Berkeley, and University of Cambridge.

3. What makes Apostol's Mathematical Analysis Text a popular choice among universities?

Apostol's Mathematical Analysis Text is highly regarded for its clear and rigorous presentation of mathematical concepts. It also includes numerous exercises and problems for students to practice and deepen their understanding.

4. Is Apostol's Mathematical Analysis Text suitable for self-study?

While Apostol's Mathematical Analysis Text is primarily used in university courses, it can also be used for self-study. However, it is recommended to have a strong foundation in mathematics before attempting to study from this text.

5. Are there any other popular textbooks for mathematical analysis?

Yes, there are many other popular textbooks for mathematical analysis, including Rudin's Principles of Mathematical Analysis, Spivak's Calculus, and Lang's Undergraduate Analysis. Each of these texts has its own unique approach and style, so it may be beneficial to explore different options to find one that best suits your learning style.

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