Milne J - Elliptic Curves.pdf

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J.S. Milne: Elliptic Curves
O THER B OOKS BY THE A UTHOR
Etale Cohomology
Princeton Mathematical Series 33, Princeton University Press, 1980, 323+xiii
pages, ISBN 0-691-08238-3
Hodge Cycles, Motives, and Shimura Varieties (with Pierre Deligne, Arthur
Ogus, and Kuang-yen Shih)
Lecture Notes in Math. 900, Springer-Verlag, 1982, 414 pages, ISBN 3-540-
11174-3 and 0-387-11174-3
Arithmetic Duality Theorems
Academic Press, 1986, 421+x pages, ISBN 0-12-498040-6
Second corrected TeXed edition (paperback)
BookSurge Publishing 2006, 339+viii pages, ISBN 1-4196-4274-X
Elliptic Curves
J.S. Milne
Copyrightc 2006J.S.Milne.
Singleunboundpapercopiesfornoncommercialpersonalusemaybemade
withoutexplicitpermissionfromthecopyrightholder.
Allotherrightsreserved.
Apaperbackversionofthisworkisavailablefrombooksellersworldwide,in-
cludingwww.amazon.comandwww.amazon.co.uk,andfromthepublisher:
BookSurgePublishing,www.booksurge.com.
Yourpurchaseofthisbookwillencouragethewritingofmoreworkslikethis.
BibTeXinformation
@book{milne2006,
author={J.S.Milne},
title={EllipticCurves},
year={2006},
publisher={BookSurgePublishers},
pages={238+viii},
isbn={1-4196-5257-5}
}
LibraryofCongressdataavailable( www.jmilne.org/math/pBooks/ )
MathematicsSubjectClassification(MSC2000):11G,11D,14G.
TheillustrationswerewrittendirectlyinPostScript R code(bytheauthor,ex-
ceptfortheflyingtorionthebackcover,whichusecodewrittenbyW.Cassel-
man).
TheKeaisafriendlyintelligentparrotfoundonlyinthemountainsofNew
Zealand.
Preface
In early 1996, I taught a course on elliptic curves. Since this was not long after
Wiles had proved Fermat’s Last Theorem and I promised to explain some of the
ideas underlying his proof, the course attracted an unusually large and diverse
audience. As a result, I attempted to make the course accessible to all students
with a knowledge only of the standard first-year graduate courses.
When it was over, I collected the notes that I had handed out during the
course into a single file, made a few corrections, and posted them on the Web,
where they have since been downloaded tens of thousands of times.
The appearance of publishers willing to turn pdf files into books quickly
and cheaply and make them available worldwide while allowing the author to
retain full control of the content and appearance of the work has prompted me
to rewrite the notes and make them available as a paperback.
J.S. Milne,
October 30, 2006.

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