Which Classical Mathematics Textbooks Should a Mathematician Possess?

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matqkks
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What are the classical mathematics textbooks for advanced and undergraduate level that a mathematician should possess?
 
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have you looked at the thread "should i become a mathematician" in the academic advising forum? (post #1?)
 
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

File listing in a file manager titled [Lang S. Real Analysis with remarks], showing about 14 djvu/djv files of books by Serge Lang, such as Algebra (2002), Real Analysis (1983), Complex Analysis (1999) and Undergraduate Algebra (2005).
some books by Rudin: (some items are repeated sorry)

File listing of Walter Rudin textbook scans in a file manager, with filenames and formats: Real and Complex Analysis, Functional Analysis, Fourier Analysis on Groups, and The Inner Function Problem in Balls, shown as PDF or DJVU.
 
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