During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.
An important addition to the mathematical literature … contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly." — Bulletin of the American Mathematical Society This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment's prerequisites include an acquaintance with the fundamentals of abstract and linear algebra. After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.
The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ?
This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.
This book focuses on the impact that emerging water problems in the Middle East will have on U.S. strategic interests in that region. It provides an invaluable study for students of the Middle East as well as for seasoned analysts.
The Chinese state of the 1920s was one of disunified parts, ruled by warlords too strong for civilians to oust and too weak to resist the demands and bribes of foreign powers. China's treaty ports were crucibles of change in which congregated the educated elite, exposed to modern ways, who felt the need for a national revolution to revitalize their country and to provide her with a new, more integrated political system. Nationwide in their origins and representing varying political ideologies, this elite formed a loose coalition to achieve a common goal. In 1926 the first step in the military campaign known as the Northern Expedition was launched to conquer the armed forces of the warlords, the greatest obstacle in the path toward reunification of China. Until now, historians have ascribed much of the success of the Northern Expedition, culminating in the capture of Peking, to the Communist-led mass organizations who were reported to have won over the populace in the territory ahead of the National Revolutionary Army. Dr. Jordan's research, especially in Communist materials, has uncovered evidence indicating that, although the mass organizations did aid the army at particular points in 1925 and 1926, there had also been a side to the mass movement that was disruptive to the goal of reunification. Of additional import, some of the key participants in the later governments of Taiwan and Peking—among them Chiang Kai-shek, Mao Tse-tung, Chou En-lai, and Lin Piao—received their basic political training in the National Revolution.
James Joyce and the Philosophers at Finnegans Wake explores how Joyce used the philosophers Nicholas Cusanus, Giordano Bruno, and Giambattista Vico as the basis upon which to write Finnegans Wake. Very few Joyce critics know enough about these philosophers and therefore often miss their influence on Joyce's great work. Joyce embraces these philosophic companions to lead him through the underworld of history with all its repetitions and resurrections, oppositions and recombinations. We as philosophical readers of the Wake go along with them to meet everybody and in so doing are bound "to encounter for the millionth time the reality of experience and to forge in the smithy" of our souls the "uncreated conscience" of humankind. Verene builds his study on the basis of years of teaching Finnegans Wake side by side with Cusanus, Bruno, and Vico, and his book will serve as a guide to readers of Joyce's novel.
The Philosophy of Literature: Four Studies puts forth the question of the extent to which philosophers must go to school with the poets. It begins with a new interpretation of the famous Platonic quarrel with the poetic wisdom of Homer. It brings this question forward through the humanism of thinkers of the Italian Renaissance and the German Idealism of Hegel. It then treats the relation of philosophy and literature in four ways by considering philosophy as literature, philosophy of literature, philosophy in literature, and philosophy and literature. In regard to the first of these, it discusses Jorge Luis Borges's The Immortal, to the second James Joyce's Finnegans Wake, to the third Carl Sandburg's epic prose poem The People, Yes, and to the fourth, Sebastian Brant's Ship of Fools. This work demonstrates that in an area of thought often dominated by fashionable doctrines of literary interpretation, the great works of literature and philosophy remain as permanent residents of our thought and imagination.
Did Detective Jack DeAngelis actually commit a series of increasingly violent crimes or is he clairvoyant? Why are his nightmares being brought into reality? Jack DeAngelis combines his detective skills with the psychological insights of Daniel Cooper, a psychiatrist who he consults about his freightening dreams.
This is the first book to examine in full the interconnections between Giambattista Vico’s new science and James Joyce’s Finnegans Wake. Maintaining that Joyce is the greatest modern “interpreter” of Vico, Donald Phillip Verene demonstrates how images from Joyce’s work offer keys to Vico’s philosophy. Verene presents the entire course of Vico’s philosophical thought as it develops in his major works, with Joyce’s words and insights serving as a guide. The book devotes a chapter to each period of Vico’s thought, from his early orations on education to his anti-Cartesian metaphysics and his conception of universal law, culminating in his new science of the history of nations. Verene analyzes Vico’s major works, including all three editions of the New Science. The volume also features a detailed chronology of the philosopher’s career, historical illustrations related to his works, and an extensive bibliography of Vico scholarship and all English translations of his writings.
This volume, covering entries from "Gadamer, Hans-Georg" to "Just war theory," presents articles on Eastern and Western philosophies, medical and scientific ethics, the Holocaust, terrorism, censorship, biographical entries, and much more.
Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms. Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.
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