Synopses & Reviews
This is the last of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. This third volume - Representations of Lie Groups - answers some basic questions, like how can a Lie algebra given in matrix terms, or by prescribed commutation relations be realised so as to give an idea of what it looks like'?' A concrete theory is presented with emphasis on techniques suitable for efficient symbolic computing. Another question is how do classical mathematical constructs interact with Lie structures?' Here stochastic processes are taken as an example. The volume concludes with a section on output of the MAPLE program, which is available from Kluwer Academic Publishers on the Internet. Audience: This book is intended for pure and applied mathematicians and theoretical computer scientists. It is suitable for self study by researchers, as well as being appropriate as a text for a course or advanced seminar.
Book News Annotation:
The final volume of a series presenting some of the central tools of
applied mathematics as used in mathematics, physics, and computer
science. Addresses some basic questions such as how a Lie algebra can
be given in matrix terms, or realized by prescribed commutation
relations to give an idea of what it looks like, and how classical
mathematical constructs interact with Lie structures. Among the
topics are general Appell systems, canonical systems in several
variables, nilpotent and solvable algebras, Hermitian symmetric
spaces, and symbolic computations. Also describes the MAPLE computer
program, which is available free on the Internet. Suitable as a text
for self-study or a course or advanced seminar for pure and applied
mathematicians and theoretical computer scientists who are familiar
with groups.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Table of Contents
v. 1. Representations and probability theory — v. 2. Special functions and computer science — v. 3. Representations of Lie groups.
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