Which Classical Mathematics Textbooks Should a Mathematician Possess?

AI Thread Summary
Classical mathematics textbooks essential for advanced and undergraduate mathematicians include Richard Courant's "Differential and Integral Calculus" (volumes 1 and 2) and the two-volume "Methods of Mathematical Physics" by Courant and Hilbert. These texts are highly recommended for their foundational content and affordability, with prices around $15 each for the Courant volumes. Additionally, Segre Lang's extensive series covering various mathematical fields and levels is noted as valuable. Texts by Walter Rudin are also mentioned as significant contributions to the field. The discussion emphasizes the importance of these works for anyone serious about pursuing mathematics.
matqkks
Messages
280
Reaction score
5
What are the classical mathematics textbooks for advanced and undergraduate level that a mathematician should possess?
 
Physics news on Phys.org
have you looked at the thread "should i become a mathematician" in the academic advising forum? (post #1?)
 
Courant and Hilbert, Methods of mathematical physics (the original two-volume version)
 
  • Like
Likes malawi_glenn
I strongly recommend Differential and Integral Calculus, vols 1 and 2, by Richard Courant, epecially given the current price: of about $15 each:

Notice the 2 volume set offered for $32, about half way down the page, formerly belonging to, and signed by, my friend the famous mathematician and author Ray Kunze, (now deceased).

I offer this as evidence that a mathematician would want these books.

https://www.abebooks.com/servlet/SearchResults?sts=t&cm_sp=SearchF-_-home-_-Results&tn=differential and integral calculus&an=courant
 
Segre Lang's large series of volumes in different fields of math and of different level

Screenshot_20220518_090306.png
some books by Rudin: (some items are repeated sorry)

f.png
 
Last edited:
For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
I’ve heard that in some countries (for example, Argentina), the curriculum is structured differently from the typical American program. In the U.S., students usually take a general physics course first, then move on to a textbook like Griffiths, and only encounter Jackson at the graduate level. In contrast, in those countries students go through a general physics course (such as Resnick-Halliday) and then proceed directly to Jackson. If the slower, more gradual approach is considered...

Similar threads

Replies
34
Views
6K
Replies
39
Views
7K
Replies
17
Views
2K
Replies
7
Views
2K
Replies
6
Views
2K
Replies
2
Views
2K
Back
Top