This work draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with success to discover theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly...

Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important examples and applications, Elliptic Operators, Topology, and Asymptotic Methods, Second Edition introduces the ideas surrounding the heat equation proof of the Atiyah-Singer index theorem.
The author builds towards proof of the Lefschetz formula and...

Although the question of Machiavellian influence on Shakespeare has been thoroughly debated, this book represents the first attempt to compare the two authors in detail. The playwright and the political philosopher share a common ground, a fascination with the motives and morality of political action, which makes for remarkable similarities in their presentation of the subject. In his deploying of the argument, the author of Il Principe emerges as a dramatic writer, like his English counterpart. The book, while taking in an obvious -Machiavel- figure such as Richard III, considers Machiavelli...

This second edition of Shakespeare's narrative poems contains an introductory section on recent critical interpretations. Fully annotated and introduced, it includes all the poems which can be confidently assigned to Shakespeare, excluding the Sonnets: Venus and Adonis, The Rape of Lucrece, The Phoenix and the Turtle, The Passionate Pilgrim and A Lover's Complaint. An updated reading list completes the edition.