A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series. Almost all textbooks on introductory analysis assume some background in calculus. This book doesn't and, instead, the emphasis is on the applic...

A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series. Almost all textbooks on introductory analysis assume some background in calculus. This book doesn't and, instead, the emphasis is on the applic...

The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applicati...

Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the ...

White Self-Criticality beyond Anti-racism powerfully emphasizes the significance of humility, vulnerability, anxiety, questions of complicity, and how being a “good white” is implicated in racial injustice. This collection sets a new precedent for critical race scholarship and critical whiteness studies to take into consideration what it means specifically to be a white problem rather than simply restrict scholarship to the problem of white privilege and white normative invisibility. Ultim...

The world of data, analytics, and technology is relatively unexplored in the legal arena, due to the traditionally conservative and risk-averse nature of the legal environment. However, we are approaching a reality in which data is the most precious resource of practically every single organization. Law firms should be no different. The buzz around intelligence functions and initiatives places constant emphasis on their immediate necessity; the narrative runs that firms need to invest both...

Twelve-year-old Lonny can stop death in its tracks. But there’s a price to pay for his magic. Each time he saves a life, he must sacrifice years of his own. In order to keep his power a secret, he's always stayed away from the nearby town of Farstoke, where the townsfolk might take advantage of a lifeling boy for their selfish and dangerous ends.But when Lonny’s family is left with no money, he and his brother Midge are forced to venture into Farstoke in search of work. Lonny soon ...