- #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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Discussion Overview
The discussion revolves around identifying classical mathematics textbooks that are essential for both advanced and undergraduate mathematicians. Participants share recommendations and insights on specific texts and their relevance.
Discussion Character
- Debate/contested
- Exploratory
Main Points Raised
- One participant inquires about essential classical mathematics textbooks for mathematicians.
- Another participant references a related thread in the academic advising forum, suggesting it may provide additional context or recommendations.
- A suggestion is made for Courant and Hilbert's "Methods of Mathematical Physics," highlighting its significance.
- A recommendation is provided for "Differential and Integral Calculus" by Richard Courant, emphasizing its affordability and value, along with a personal anecdote regarding a signed copy from a notable mathematician.
- Segre Lang's series of volumes in various fields of mathematics is mentioned as a valuable resource.
- Some works by Rudin are also noted, although there is a mention of repeated items in the list.
Areas of Agreement / Disagreement
Participants express a variety of opinions on which textbooks are essential, indicating that multiple competing views remain without a clear consensus on a definitive list.
Contextual Notes
Some recommendations may depend on personal preferences or specific areas of focus within mathematics, and there may be unresolved discussions regarding the completeness of the suggested texts.
Who May Find This Useful
Mathematicians, students of mathematics, and individuals interested in building a foundational library of classical mathematics texts may find this discussion beneficial.
- #2
mathwonk
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have you looked at the thread "should i become a mathematician" in the academic advising forum? (post #1?)
- #3
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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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