Calculus Maniacs: Apostol vs Courant

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In summary, "Calculus Maniacs: Apostol vs Courant" is a book that compares and contrasts the approaches to calculus by two renowned mathematicians, Tom Apostol and Richard Courant. Both Apostol and Courant are known for their contributions to calculus, with Apostol's approach being more rigorous and formal while Courant's approach is more intuitive and practical. This book assumes a basic understanding of calculus and is popular among mathematicians for its thought-provoking comparison and insights into the history and development of calculus.
  • #1
karakoos23
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If you were a maniac of calculus what would it be? Tom M. Apostol’s or Richard Courant’s Calculus?
 
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  • #2
Do you mean learning Calculus straight from those books? I wouldn't know.

But knowing calculus from before, both are quite straightforward.
 
  • #3
they are both excellent. apostol was writtena biut 1960 and courant about 1935. i think i would choose courant, but as a young student operhaps apostol would have been more accesible. actually spivak is the most user friendly for young students.
 
  • #4
I love N. Piskunov, Mir publishers, (English translation by G.Yankovsky).
 

1. What is "Calculus Maniacs: Apostol vs Courant"?

"Calculus Maniacs: Apostol vs Courant" is a popular book that compares and contrasts the approaches to calculus by two prominent mathematicians, Tom Apostol and Richard Courant.

2. Who are Tom Apostol and Richard Courant?

Tom Apostol and Richard Courant are both renowned mathematicians who have made significant contributions to the field of calculus. Apostol was a professor at the California Institute of Technology and wrote the influential textbook "Calculus" while Courant was a professor at New York University and authored the influential textbook "Introduction to Calculus and Analysis."

3. What are the main differences between the approaches of Apostol and Courant?

The main difference between Apostol and Courant's approaches to calculus lies in their emphasis on rigor and intuition. Apostol's approach is more rigorous and formal, while Courant's approach is more intuitive and practical.

4. Is "Calculus Maniacs" suitable for beginners?

No, "Calculus Maniacs" is not suitable for beginners as it assumes a basic understanding of calculus and delves into advanced concepts and theories.

5. What makes "Calculus Maniacs" a popular book among mathematicians?

"Calculus Maniacs" is popular among mathematicians because it provides a thought-provoking comparison between two influential mathematicians and their approaches to calculus, making it a valuable resource for those interested in the history and development of calculus.

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