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An Invitation to Arithmetic Geometry Professor Kleinert
reviews the book in Zentralblatt fur Mathematik and writes: ...an extremely carefully
written, masterfully thought out, and skillfully arranged introduction -- and
quite so an invitation, as promised -- to the arithmetic of algebraic curves,
on the one hand, and to the algebro-geometric
aspects of number theory, on the other hand. Detailed discussions, full
proofs, much effort at thorough motivations, a wealth of illustrating
examples, numerous related exercises and problems, hints for further reading,
and a rich bibliography characterize this text as an excellent guide for
beginners in arithmetic geometry... a highly welcome addition to the existing
literature. The book was
developed from the notes of a year-long course taught at UGA. It is intended
for upper level undergraduates and graduate students. The reviewer in Zentralblatt stresses the innovation in Professor Lorenzini's ``quite unconventional way'' of teaching
arithmetic geometry. The text... does justice to its author's methodological intentions in a very remarkable and, what is more, nearly perfect manner,... a methodological inspiration for teachers of the subject. You will get a fairly good idea of
what is in this book and of the pedagogical approach of the author by reading
the Preface and the Description
of the Chapters of the book. Further information on the book
can be obtained in the AMS Catalog.
I have included a list of additions and corrections. I try to keep the list
of corrections updated and will add to it any new correction that you may
send me. Do not hesitate to contact me if
you have any comments or questions on this book. Back
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