Discover the Best Calculus Books by Richard Courant for Learning from Scratch"

  • Thread starter WiFO215
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In summary: I will check it out and buy it when I have the chance.I have "Differential and Integral Calculus" by Fritz John. I think it's a good book and it covers basics of calculus.
  • #1
WiFO215
420
1
I have decided on reading this authors books. No specific reason but they sound good. I want to learn calculus from scratch. But I am confused as there are various books.

Introduction to Calculus and Analysis (2 volumes) Old and New editions. Which one?
Differential and Integral Calculus (2 volumes)

Which one(s) do I buy?
 
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  • #2
I think you should use the one with fritz john, although I haven't tried his DI book (i.e the other series).

btw, he has more books than the ones which are popular, and most of them not always known to others.
such as a book on complex functions and a book on variational calculus.
 
  • #3
P.S before buying you should check the net for a scan of the first volume of intro, I can't link you to it, cause obviously it will get erased by the mentors.
 
  • #4
I have "Introduction to Calculus and Analysis", and its very good, especially volume 2.
 
  • #5
loop quantum gravity said:
P.S before buying you should check the net for a scan of the first volume of intro, I can't link you to it, cause obviously it will get erased by the mentors.

Can you mail it to me? I'm going to buy after checking. My ID is krishna_anirudh@hotmail.com
 
  • #6
And why will the link be erased? I don't see how its illegal if I'm going to buy the book. If other people who aren't going to buy it download it, then cannot that link be mailed to me? Can someone please help. I'd like to place an order soon.
 
  • #7
Courant-John serves best as reference material, although it is a little more than that. The age of the books is felt when compared to more modern works. Namely, there is little to no discussion on the principles of set theory and algebra which lead to the foundations of analysis. I think a book much better suited to your goals is "Elementary Analysis: The Theory of Calculus" by Kenneth A. Ross.
 
  • #8
Here's a link where you can search for the first volume.(http://rapidshare.com/files/65589527/Introduction_to_Calculus_and_Analysis.rar).
Contrary to what Werg said I think that as a book in calculus it's good and thourogh book, perhaps it's not modern and doesn't cover set theory, but as far as I know set theory is really used in courses in modern analysis such as measure theory and complex analysis and also topology.
 
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  • #9
Thank you loop gravity.
 

What are Richard Courant's major contributions to mathematics?

Richard Courant was a mathematician known for his contributions to the fields of differential and integral equations, calculus of variations, and partial differential equations. He also co-authored the influential textbook "Methods of Mathematical Physics" which helped to shape the modern understanding of the subject.

What is Richard Courant's educational background?

Richard Courant received his undergraduate degree from the University of Göttingen and his PhD from the University of Munich. He also studied at the University of Göttingen under the renowned mathematician David Hilbert.

What is the significance of the Courant-Friedrichs-Lewy (CFL) condition?

The Courant-Friedrichs-Lewy condition, also known as the CFL condition, is a mathematical stability criterion for approximating solutions to partial differential equations using numerical methods. It is named after Richard Courant, Kurt Friedrichs, and Hans Lewy who first developed the condition in the 1920s.

How did Richard Courant's Jewish heritage and World War II impact his career?

Richard Courant's Jewish heritage forced him to leave his position at the University of Göttingen in 1933 due to the rise of Nazi Germany. He then immigrated to the United States where he held positions at New York University and the Courant Institute of Mathematical Sciences. During World War II, he also contributed to the development of weather forecasting and ballistics calculations for the US Army.

What is the legacy of Richard Courant's work?

Richard Courant's work has had a lasting impact on the fields of mathematics and physics. His contributions to numerical analysis and mathematical physics have been highly influential, and his textbooks are still widely used in universities around the world. The Courant Institute of Mathematical Sciences at New York University is also named in his honor.

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