Fiche G., Hebuterne G. Mathematics for Engineers

United States: ISTE Ltd; Lohn Wiley & Sons, Inc., 2008. — 435 p.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 professional enviroment 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, sush as signal and information processing, traffic or perfomance 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 contructed around the notion of probality. Indeed, we should 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 framework for a unified theoretical approach of communications, with the following chapters.Probability Theory.
Probability Laws.
Statistics.
Signal Theory.
Information and Coding Theory.
Traffic and Queueing Theory.
Reliability Theory.
Simulation.
Appendix. Mathematical Refresher.