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Mathematical Underpinnings of Analytics: Theory and Applications

Online ISBN:
9780191792526
Print ISBN:
9780198725091
Publisher:
Oxford University Press
Book

Mathematical Underpinnings of Analytics: Theory and Applications

Peter Grindrod
Peter Grindrod

Professor of Mathematics

Mathematical Institute, University of Oxford
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Published online:
19 March 2015
Published in print:
27 November 2014
Online ISBN:
9780191792526
Print ISBN:
9780198725091
Publisher:
Oxford University Press

Abstract

This book presents analytics within a framework of mathematical theory and concepts, building upon firm theory and foundations of probability theory, graphs, and networks, random matrices, linear algebra, optimization, forecasting, discrete dynamical systems, and more. Following on from the theoretical considerations, applications are given to data from commercially relevant interests: supermarket baskets; loyalty cards; mobile phone call records; smart meters; ‘omic‘ data; sales promotions; social media; and microblogging. Each chapter tackles a topic in analytics: social networks and digital marketing; forecasting; clustering and segmentation; inverse problems; Markov models of behavioural changes; multiple hypothesis testing and decision-making; and so on. Chapters start with background mathematical theory explained with a strong narrative and then give way to practical considerations and then to exemplar applications.

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