## Reciprocity Laws

has just appeared in Springer-Verlag Heidelberg.
It is an updated version of Chapters 1 - 11
as they were available on this page for some time: here's the
actual table of contents with ps and pdf file
of Chapter 11 (corrected version), and I also have prepared a
description of the content with a few
examples. A table of errata is available
as a tex file,
as a dvi file,
as a ps file,
as a pdf file, and in
html.

Here are some reviews of the book by F. Gouvea for
MAA online,
H. Opolka for Zentralblatt,
Charles Helou for MathSciNet,
D.V. Feldman for
Choice Reviews online,
Roland Auer,
Ch. Baxa,
N. Schappacher for the Semesterberichte,
P. Shiu for the Math. Gazette,
and S. Raghavan for Ganita-Bharati, a Bulletin
of the Indian Society for History of Mathematics.

The combined bibliography can be found
online, complete
with references to the Mathematical Reviews, the Zentralblatt
and the Jahrbuch. Moreover, I have a list of published proofs
of the Quadratic Reciprocity Law.
If your browser supports frames, I suggest you try the
framed version. Here's a draft for
a similar list of proofs of the
Quartic Reciprocity Law.

Michael Berg has published a book on
The Fourier-Analytic Proof of Quadratic Reciprocity
at Wiley.

Comments welcome. Please use the Guestbook.

Last update: July 12, 2001