Mathematics for Engineers - ISBN:9781848210554

Mathematics for Engineers

Date: 27 April 2011, 13:33

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Communication techniques and services are changing rapidly, and so are the
techniques for the design and analysis of communicating systems and networks
transporting and processing information: both in terms of data or images generated
in a professional environment and – increasingly – in a personal environment
(personal terminals: computers and mobiles). We have felt the need to reconsider
basic mathematic tools, usually known by engineers but seldom presented as a
whole, in the context of communication technologies. So, this book presents the
major mathematical techniques in use in the field of telecommunications and more
generally in the domain of information and communication technologies. Engineers,
as well as students, will be led to tackle problems related to various subjects, such
as signal and information processing, traffic or performance analysis, reliability,
etc. Possibly they will become specialists, or responsible for one or several of
these domains. We attempt here to provide the mathematical basis necessary to
open constructive exchanges with experts, and also to efficiently begin the study of
specialized publications.
The present publication has naturally been constructed around the notion of
probability. Indeed, we should not be surprised that random variables play a major
role in the mathematics deployed to solve problems related to the processing and
transport of “information”, in essence an unknown quantity. This has naturally
guided the structure of this book, providing something of a framework for a unified
theoretical approach of communications, with the following chapters.

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