Abel on Analysis. Translations by Philip Horowitz
of Niels Abel's principal works on the theory of functions, which astonished
the elderly Legendre and stimulated Jacobi to his finest efforts. The main
themes are integrals of algebraic functions and the theory of elliptic functions.
Sadly, Abel died in his twenties and the great rivalry with Jacobi ended
prematurely. Jacobi's correspondence with Legendre concerning the new developments
is included in the book. Approximate publication date: January 2007.
Selected works of Jean-Pierre Kahane. Professor Kahane is
one of the leading analysts of the second half of the twentieth century.
Central themes of his work are Fourier analysis and Brownian motion. His
eightieth birthday is in December 2006; he is still writing research papers.
This book offers 63 of his most original papers, including collaborations
with Hartman, Helson, Katznelson, Mandelbrojt, Rudin and Ryll-Nardzewski,
among others. Approximate publication date: January 2007.
Leonhard Euler. Ruediger Thiele. Translated from the German
by R.C. Baker. There are surprisingly few full-length books about the great
Swiss mathematician Euler. He dominated the mathematical scene during a
large part of the eighteenth century, working on every part of the subject
and its applications. Many of his innovations were hugely influential, from
function theory to graph theory to number theory. The present biography
is very well researched, quite detailed and very readable. The author has
added some updates and minor improvements for this translation of the 1982
edition from B. G. Teubner. Approximate publication date: March 2007.
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