Subhasis Ray – författare

This book is a culmination of sustained research work on the evaluation of cricket and its management to imbibe a balance between its various formats by using data and analytics. The book has identified three primary stakeholders—administrators, players and spectators—each having their own ambitions. In order for convergence of these ambitions, it has prescribed the networked governance in place of hierarchic governance for the International Cricket Council (ICC), the cricket’s apex body. This book aims at creating a balance between formats that each country should play. 

There is as much dearth of academic research on this topic, as there is abundance of individual viewpoints from professionals related to the game. Hence at the outset, the book has created a  action points and has underlined the lack of convergence with present way of governance. This book has created a meta-metric framework for formative assessment of influence across cricket formats. In order to assess the influence of T20 on test matches and on India’s performance, a comparison between pre-IPL period (1998–2007) and post-IPL period (2008–2017) by using this framework has been done.

Designed for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and integration. It acts as a pivotal link bridging the Riemann integral and the Lebesgue integral, with a primary focus on tracing the evolution of measure and integration from their historical roots. A distinctive feature of the book is meticulous guidance, providing a step-by-step journey through the subject matter, thus rendering complex concepts more accessible to beginners. A fundamental grasp of differential and integral calculus, as well as Riemann integration, is recommended to ensure a smoother comprehension of the material.

This textbook comprises 10 well-structured chapters, each thoughtfully organized to lead students from fundamental principles to advanced complexities. Beginning with the establishment of Lebesgue’s measure on the real line and an introduction to measurable functions, the book then delves into exploring the cardinalities of various set classes. As readers progress, the subtleties of the Lebesgue integral emerge, showcasing its generalization of the Riemann integral and its unique characteristics in higher dimensions.

One of the book’s distinctive aspects is its indepth comparison of the Lebesgue integral, improper Riemann integral, and Newton integral, shedding light on their distinct qualities and relative independence. Subsequent chapters delve into the realm of general measures, Lebesgue-Stieltje''s measure, Hausdorff ’s measure, and the concept of measure and integration in product spaces. Furthermore, the book delves into function spaces, such as 𝘓𝘱 spaces, and navigates the intricacies of signed and complex measures, providing students with a comprehensive foundation in this vital area of mathematics.