Over the last 50 years there have been an increasing number of applications of algebraic tools
to solve problems in communications in particular in the fields of error-control codes and
cryptography. More recently broader applications have emerged requiring quite sophisticated
algebra - for example the Alamouti scheme in MIMO communications is just Hamilton's
quaternions in disguise and has spawned the use of PhD-level algebra to produce
generalizations. Likewise in the absence of credible alternatives the industry has in many
cases been forced to adopt elliptic curve cryptography. In addition algebra has been
successfully applied to problems in signal processing such as face recognition biometrics
control design and signal design for radar. This book introduces the reader to the algebra
they need to appreciate these developments and to various problems solved by these techniques.
