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I have recently been told of a proposal to produce an English translation of Landau's Handbuch der Lehre von der Verteilung der Primzahlen, and this prompts me to ask a more general question:
These could be classics of historical interest, books you would like your students to read, books you would like to teach from, or books of use in your own research. |
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2
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Abel's complete works. |
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2
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[original suggestion/answer by Andrew L] Constantin Carathéodory's Vorlesungen über Reelle Funktionen. Why this book has never been translated into English is simply a mystery to me. And while he's at it, let's get whoever's on that case to get Courant and Hurewitz's treatise on complex functions into English as well, so I can see finally if it's as good as Serge Lang always said it was... 2 last requests while I'm at it: Faddeev's 1984 Lectures In Algebra and the second edition of Kostrikin's 3 volume Introduction To Algebra. I'm such a sucker for Russian texts, they're so beautiful and concrete with connections to physics. We Westerners can learn so much from their approach. |
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Re: For publication of EGA and SGA, see this: http://www.grothendieckcircle.org/ |
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Teubner-Taschenbuch der Mathematik Teil II The first part (Teil I) of this book was translated into English as the Oxford User's Guide to Mathematics |
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1
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Équations différentielles à points singuliers réguliers, by Deligne. |
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1
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Joseph Louis Lagrange - Reflexiones sur la Resolution Algebrique des Equations. I've found lots of discussions and summaries of its contents (e.g. in Harold Edwards' book on Galois theory) and little snippets translated here and there (e.g. in Mathematical Expeditions by Laubenbacher and Pengelley) but haven't been able to locate a complete translation. |
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1
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Einfuhrung in die Algebraische Geometrie-B.L. van der WAERDEN |
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Paul Gordan ``Vorlesungen ueber Invariantentheorie" available here , both volumes. This is most worthwhile since the content of most other classics is well accounted for in modern texts whereas this way of doing algebraic geometry has been completely forgotten. Poor knowledge of Gordan's methods is a net loss for contemporary mathematics. |
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0
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F. Prus-Wisniowski - Szeregi Rzeczywiste (Poland, Uniwersytet Szczecinski) - a monograph on real series. It can be read by first-year students while supplying the reader with very powerful tools for real (and sometimes complex) series; it might surprise the PhD reader. More importantly, it builds a good understanding of the way real series work. Publisher's website |
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Hilbert-Bernays's "Foundations of Mathematics", it's a shame that this classic work haven't translated yet! |
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Durer's works on proportion, which take a Euclidean approach to constructing visible objects. |
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Two volume introduction to Complex Analysis by B.V.Shabat. Actually, I have already translated about 150 pages of the first volume which is about as much as one can cover in Complex Variable undergraduate course offered by a typical U.S. university. I did give the translation as a hand out to my students last year when I taught Complex variables class. I did translation out of frustration with the book of Churchill and Brown. |
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"Introduction aux groupes arithmétiques" by Armand Borel. |
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"Quadratische Formen" by Martin Kneser. |
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