Discussion Overview
The discussion centers on the use of Tom M. Apostol's textbook on Mathematical Analysis in various universities and educational institutions, particularly in the USA, Canada, UK, Australia, New Zealand, and India. Participants also inquire about available online resources, such as video lectures and supplementary materials related to Apostol's texts, including his two-volume calculus series.
Discussion Character
- Exploratory, Technical explanation, Meta-discussion
Main Points Raised
- One participant asks which universities or instructors use Apostol's Mathematical Analysis and seeks information on available online resources.
- Another participant mentions that IISC Bangalore in India uses Apostol's text but notes the absence of online learning materials from that institution.
- A participant states that MIT and Caltech utilize Apostol's Calculus and references MIT OCW pages for courses covering both volumes of Calculus.
- It is suggested that many schools prefer Rudin's Principles of Mathematical Analysis over Apostol's text for undergraduate courses, with the reasoning that Rudin's book is more compact.
- A participant expresses confidence that video lectures linked to a Nottingham resource are based on Apostol's analysis and mentions their availability on YouTube.
- A link to a UCLA course page is provided, potentially related to the discussion.
Areas of Agreement / Disagreement
Participants present various viewpoints regarding the use of Apostol's texts, with some indicating specific institutions that use them while others suggest a preference for Rudin's text. The discussion does not reach a consensus on the prevalence of Apostol's texts in comparison to others.
Contextual Notes
Some claims about the use of Apostol's texts depend on individual institutional choices and may not reflect broader trends. The availability of online resources is noted but remains limited in certain cases.
Who May Find This Useful
Students, educators, and researchers interested in mathematical analysis and calculus, particularly those looking for resources related to Apostol's textbooks.