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The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
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This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises we wish to show to the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed.
This book chronicles the Society's activities over fifty years, as membership grew, as publications became more numerous and diverse, as the number of meetings and conferences increased, and as services to the mathematical community expanded. To download free chapters of this book, click here.
This book explores the role that American pragmatism played in the development of social philosophy in 20th-century Europe. The essays in the first part of the book show how the ideas of Peirce, James, and Dewey influenced the traditions of European philosophy, especially existentialism and the Frankfurt School of Critical Theory, that emerged in the 20th century. The second part of the volume deals with current challenges in social philosophy. The essays here demonstrate how discussions of two core issues in social philosophy—the conception of social conflict and the public—can be enriched with pragmatist resources. In featuring both historical and conceptual perspectives, these essays provide a full picture of pragmatism’s role in the development of Continental social philosophy. Pragmatism and Social Philosophy will be of interest to scholars and advanced students working on American philosophy, social philosophy, and Continental philosophy.
This sourcebook combines extracts from contemporary documents and critical reviews, providing an introduction, a publishing and critical history, a chronology of key events, a guide to further reading and original pictures.
The first collection of lectures and sermons that Charlotte Perkins Gilman delivered in the first four years of her career The last decades have seen a resurgence of interest in Charlotte Perkins Gilman, now considered among the most important thinkers in US history. She is best known for fiction—such as the classic short story “The Yellow Wall-Paper” (1892)—and nonfiction, including her manifesto Women and Economics (1898), a work of intersectional sociology avant la lettre. Nevertheless, as a young writer, Gilman made her living delivering lectures. One cannot know Gilman without some knowledge of this body of lectures; this book fills that critical gap in Gilman scholarship. Since...