This book provides a Mathematical Theory of Distributed Sensor Networks.
It introduces the Mathematical & Computational Structure by discussing
what they are, their applications and how they differ from traditional
systems. It also explains how mathematics are utilized to provide
efficient techniques implementing effective coverage, deployment,
transmission, data processing, signal processing, and data protection
within distributed sensor networks. Finally, it discusses some important
challenges facing mathematics to get more incite to the
multidisciplinary area of distributed sensor networks. -This book will
help design engineers to set up WSN-based applications providing better
use of resources while optimizing processing costs. -This book is highly
useful for graduate students starting their first steps in research to
apprehend new approaches and understand the mathematics behind them and
face promising challenges. -This book aims at presenting a formal
framework allowing to show how mathematical theories can be used to
provide distributed sensor modeling and to solve important problems such
as coverage hole detection and repair. -This book aims at presenting the
current state of the art in formal issues related to sensor networking.
It can be used as a handbook for different classes at the graduate level
and the undergraduate level. It is self contained and comprehensive,
presenting a complete picture of the discipline of optical network
engineering including modeling functions, controlling quality of
service, allocation resources, monitoring traffic, protecting
infrastructure, and conducting planning. This book addresses a large set
of theoretical aspects. It is designed for specialists in ad hoc and
wireless sensor networks and does not include discusses on very
promising areas such as homotopy, computational geometry, and wavelet
transforms.
