Introduction
The advent of powerful desktop computers has
revolutionized scientific
analysis and engineering design in fields as
disparate as particle
physics and telecommunications. "Modern
Mathematical Methods for
Physicists and Engineers" provides an
uptodate mathematical and
computational education for students,
researchers, and practicing
engineers. It is an ideal textbook and
reference for senior
undergraduate and graduate students in the physical
sciences and
electrical and telecommunications engineering.
The
book begins with a review of computation and then develops a range
of key
concepts including sets, groups, fields, and linear algebra. More
advanced
topics covered include solution of linear
equations, inner products and
norms, leastsquares approximations, the
discrete Fourier transform,
eigenvalues and eigenvectors, the
singularvalue decomposition, best
approximations in the maximum norm,
Hilbert and Banach spaces, and matrix
representations of groups. The
treatment of special functions is noteworthy
for being based on group
representation theory, rather than complex
variables or differential
equations.
The book contains well over
400 homework problems, which make it useful
for selfstudy as well as
classroom use.
C.
D. Cantrell received
his Bachelor's degree from Harvard in 1962 and his
Ph.D. from Princeton
in 1968. He joined the faculty of Swarthmore College
in 1967. In 1973
he left to join the staff at the Los Alamos National
Laboratory, where
he carried out research on molecular spectroscopy and
laser isotope
separation through 1979. Since then he has been at the
University of Texas at Dallas,
where
he is Professor of Electrical Engineering and Physics, Director
of
the Photonic Technology and
Engineering
Center, and Associate Dean of the
Erik Jonsson School of
Engineering and Computer Science. Professor Cantrell is a
Fellow of
the
IEEE, the American Physical Society, and the Optical Society
of
America, and is a recipient of the IEEE Third Millennium Medal.
