These notes develop the theory of descriptive sets, leading up to a new proof of Louveau's separation theorem for analytic sets. A first course in mathematical logic and set theory is assumed, making this book suitable for advanced students and researchers.
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fourth publication in the Lecture Notes in Logic series, Miller develops the necessary features of the theory of descriptive sets in order to present a new proof of Louveau's separation theorem for analytic sets. While some background in mathematical logic and set theory is assumed, the material is based on a graduate course given by the author at the University of Wisconsin, Madison, and is thus accessible to students and researchers alike in these areas, as well as in mathematical analysis.
Counseling psychologists have led the field of professional psychology in many areas including psychotherapy, supervision, vocational psychology, consultation, the promotion of human strengths, and the use of humanistic and empowering approaches to mental health promotion and treatment. As such, the specialization may be one of the broadest, most flexible, and widely applicable specialties in the field of applied and professional psychology. In Specialty Competencies in Counseling Psychology, Fuertes, Spokane, and Holloway provide a striking balance of the rich history of the counseling specialty and a thorough articulation of the professional practice domains conducted by the counseling psychology specialist. The authors deliver informative examples of each foundational and functional domain of competency as well as a comprehensive discussion of the historic roots that support the specialty's leadership role in professional psychology. In addition to interested individuals who wish to learn about the specialization of counseling psychology, readers from all specialties who are committed to developing professional competencies in psychotherapy assessment and intervention, supervision, vocational psychology, consultation, and contemporary issues having to do with human diversity and multiculturalism will also be served well by reading this volume. In order to assist such readers, the authors successfully capture how counseling psychology interfaces and overlaps with the other psychology specialties yet also distinguishes itself from them. Series in Specialty Competencies in Professional Psychology Series Editors Arthur M. Nezu and Christine Maguth Nezu As the field of psychology continues to grow and new specialty areas emerge and achieve recognition, it has become increasingly important to define the standards of professional specialty practice. Developed and conceived in response to this need for practical guidelines, this series presents methods, strategies, and techniques for conducting day-to-day practice in any given psychology specialty. The topical volumes address best practices across the functional and foundational competencies that characterize the various psychology specialties, including clinical psychology, cognitive and behavioral psychology, school psychology, geropsychology, forensic psychology, clinical neuropsychology, couples and family psychology, and more. Functional competencies include common practice activities like assessment and intervention, while foundational competencies represent core knowledge areas such as ethical and legal issues, cultural diversity, and professional identification. In addition to describing these competencies, each volume provides a definition, description, and development timeline of a particular specialty, including its essential and characteristic pattern of activities, as well as its distinctive and unique features. Written by recognized experts in their respective fields, volumes are comprehensive, up-to-date, and accessible. These volumes offer invaluable guidance to not only practicing mental health professionals, but those training for specialty practice as well.
While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis.
Ship Island was used as a French base of operations for Gulf Coast maneuvers and later, during the War of 1812, by the British as a launching point for the disastrous Battle of New Orleans. But most memorably, Ship Island served as a Federal prison under the command of Union Major General Benjamin F. Butler during the Civil War. This volume traces this fascinating and somewhat sinister history of Ship Island. The main focus of the book is a series of rosters of the men imprisoned. Organized first by the state in which the soldier enlisted and then by the company in which he served, entries are listed alphabetically by last name and include information such as beginning rank; date and place of enlistment; date and place of capture; physical characteristics; and, where possible, the fate and postwar occupation of the prisoner.
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