- #1
matqkks
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What are the classical mathematics textbooks for advanced and undergraduate level that a mathematician should possess?
Which Classical Mathematics Textbooks Should a Mathematician Possess?
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SUMMARY
Mathematicians should possess key classical textbooks including "Methods of Mathematical Physics" by Courant and Hilbert, and "Differential and Integral Calculus" (Volumes 1 and 2) by Richard Courant. The latter is currently available for approximately $15 each or as a two-volume set for $32. Additionally, Segre Lang's extensive series covering various mathematical fields and levels is highly recommended, along with selected works by Walter Rudin. These texts are essential for both advanced and undergraduate mathematicians.
PREREQUISITES- Familiarity with classical mathematics concepts
- Understanding of calculus fundamentals
- Knowledge of mathematical physics
- Awareness of significant mathematical literature
- Research "Methods of Mathematical Physics" by Courant and Hilbert
- Explore "Differential and Integral Calculus" by Richard Courant
- Investigate Segre Lang's series of mathematics volumes
- Review selected works by Walter Rudin
This discussion is beneficial for mathematicians, mathematics students, educators, and anyone seeking to build a foundational library of classical mathematics literature.
- #2
mathwonk
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have you looked at the thread "should i become a mathematician" in the academic advising forum? (post #1?)
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Courant and Hilbert, Methods of mathematical physics (the original two-volume version)
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mathwonk
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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
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
- #5
wrobel
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Segre Lang's large series of volumes in different fields of math and of different level
some books by Rudin: (some items are repeated sorry)
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