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1000 tulosta hakusanalla Anthony W. Knapp

Lie Groups, Lie Algebras, and Cohomology

Lie Groups, Lie Algebras, and Cohomology

Anthony W. Knapp

Princeton University Press
1988
pokkari
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
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Elliptic Curves

Elliptic Curves

Anthony W. Knapp

Princeton University Press
1992
pokkari
An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular forms--come together in Eichler-Shimura theory, which constructs elliptic curves out of modular forms of a special kind. The converse, that all rational elliptic curves arise this way, is called the Taniyama-Weil Conjecture and is known to imply Fermat's Last Theorem. Elliptic curves and the modeular forms in the Eichler- Shimura theory both have associated L functions, and it is a consequence of the theory that the two kinds of L functions match. The theory covered by Anthony Knapp in this book is, therefore, a window into a broad expanse of mathematics--including class field theory, arithmetic algebraic geometry, and group representations--in which the concidence of L functions relates analysis and algebra in the most fundamental ways. Developing, with many examples, the elementary theory of elliptic curves, the book goes on to the subject of modular forms and the first connections with elliptic curves. The last two chapters concern Eichler-Shimura theory, which establishes a much deeper relationship between the two subjects. No other book in print treats the basic theory of elliptic curves with only undergraduate mathematics, and no other explains Eichler-Shimura theory in such an accessible manner.
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Representation Theory of Semisimple Groups

Representation Theory of Semisimple Groups

Anthony W. Knapp

Princeton University Press
2001
pokkari
In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of examples are given. To support this unique approach, the author includes for the reader a useful 300-item bibliography and an extensive section of notes.
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Basic Algebra

Basic Algebra

Anthony W. Knapp

Birkhauser Boston Inc
2006
sidottu
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems. Basic Algebra presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semester advanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs.
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Basic Real Analysis

Basic Real Analysis

Anthony W. Knapp

Birkhauser Boston Inc
2005
sidottu
Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Advanced Real Analysis (available separately or together as a Set), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate studentspreparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician.
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Lie Groups

Lie Groups

Anthony W. Knapp

Birkhauser Boston Inc
2002
sidottu
This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.
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Advanced Real Analysis

Advanced Real Analysis

Anthony W. Knapp

Birkhauser Boston Inc
2005
sidottu
Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Basic Real Analysis (available separately or together as a Set), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Advanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and forself-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician.
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Advanced Algebra

Advanced Algebra

Anthony W. Knapp

Birkhauser Boston Inc
2007
sidottu
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Together the two books give the reader a global view of algebra, its role in mathematics as a whole and are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.
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Cohomological Induction and Unitary Representations

Cohomological Induction and Unitary Representations

Anthony W. Knapp; David A. Vogan

Princeton University Press
1995
sidottu
This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis.
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Denumerable Markov Chains

Denumerable Markov Chains

John G. Kemeny; J. Laurie Snell; Anthony W. Knapp

Springer-Verlag New York Inc.
1976
sidottu
With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the first edition, which we have corrected. More detail about the correction appears in the Additional Notes. Aside from this change, we have left intact the text of the first eleven chapters. The second edition contains a twelfth chapter, written by David Griffeath, on Markov random fields. We are grateful to Ted Cox for his help in preparing this material. Notes for the chapter appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.
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Representation Theory and Automorphic Forms

Representation Theory and Automorphic Forms

T. N. (EDT) Bailey; Anthony W. (EDT) Knapp

Amer Mathematical Society
1997
sidottu
This book is a course in representation theory of semisimple groups, automorphic forms and the relations between these two subjects written by some of the world's leading experts in these fields. It is based on the 1996 instructional conference of the International Centre for Mathematical Sciences in Edinburgh. The book begins with an introductory treatment of structure theory and ends with an essay by Robert Langlands on the current status of functoriality. All papers are intended to provide overviews of the topics they address, and the authors have supplied extensive bibliographies to guide the reader who wants more detail.The aim of the articles is to treat representation theory with two goals in mind: to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics and to provide number theorists with the representation-theoretic input to Wiles' proof of Fermat's Last Theorem.This book features discussion of representation theory from many experts' viewpoints; treatment of the subject from the foundations through recent advances; discussion of the analogies between analysis of cusp forms and analysis on semisimple symmetric spaces, which have been at the heart of research breakthroughs for 40 years; and, extensive bibliographies.
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Denumerable Markov Chains

Denumerable Markov Chains

John G. Kemeny; J. Laurie Snell; Anthony W. Knapp

Springer-Verlag New York Inc.
2012
nidottu
With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the first edition, which we have corrected. More detail about the correction appears in the Additional Notes. Aside from this change, we have left intact the text of the first eleven chapters. The second edition contains a twelfth chapter, written by David Griffeath, on Markov random fields. We are grateful to Ted Cox for his help in preparing this material. Notes for the chapter appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.
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Hormones

Hormones

Anthony W. Norman; Helen L. Henry

Academic Press Inc
2014
sidottu
The 3rd edition of Hormones offers a comprehensive treatment of the hormones of humans all viewed from the context of current theories of their action in the framework of our current understanding their physiological actions as well as their molecular structures, and those of their receptors. This new edition of Hormones is intended to be used by advanced undergraduates and graduate students in the biological sciences. It will also provide useful background information for first year medical students as they engage in studies which are increasingly problem-based rather than discipline-focused. As the field of endocrinology itself has expanded so much in the past two decades, the up to date presentation of the basics presented in this book will be a solid foundation on which more specialized considerations can be based. New to this Edition: Hormones, 3rd Edition is organized with two introductory chapters followed by 15 chapters on selected topics of the molecular biology of the major endocrine systems operative in humans. Coverage, for the first time of the following hormones; ghrelin, oxyntomodulin, kisspeptin, adrenomedullin, FGF23, erythropoietin, VIP and extended coverage of NO. Coverage of the hypothalamus has been integrated with the anterior pituitary because of the intimate functional and relationship between the two. Consideration of the role of hormones in cancer has been integrated into the chapters on the relevant hormones. Each of these areas occupies a unique niche in our understanding of the biological world and is part of the universality of signaling systems and how they govern biological systems.
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Modern Brazil

Modern Brazil

Anthony W. Pereira

Oxford University Press
2020
nidottu
Brazil is associated in many people's minds with conviviality, sensuality, and natural beauty. Yet the country behind these images and associations is something of an enigma. It is alternately praised as the "country of the future", a rising power ready to take its place at the top tables of global governance, or written off as a perennial disappointment, a country forever failing to reach its potential, mired in corruption, inequality, poverty, and violence. These oscillations between euphoria and despair obscure a country with its own unique trajectory through the 20th and 21st centuries. This Very Short Introduction offers an account of modern Brazil that covers some of the major features of the country's transformation, including the rise of the modern state in the mid-20th century, the violent repression of dictatorship, the domestic economic, political, and social challenges faced by the country today, and the role Brazil plays in dealing with some of the most important contemporary global problems. In doing so, Anthony Pereira highlights some of the peculiar features of Brazil's development, such as the tendency of its political leaders to engage in complicated, informal political deals; the state's welfare institutions that often exacerbate, rather than improve, the country's deep economic inequalities; and Brazil's long history of peaceful relations with its neighbours despite a high level of state violence against citizens. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
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Borderline Personality Disorder

Borderline Personality Disorder

Anthony W. Bateman; Roy Krawitz

Oxford University Press
2013
nidottu
Over the past two decades considerable progress has been made in developing specialist psychosocial treatments for borderline personality disorder (BPD), yet the majority of people with BPD receive treatment within generalist mental health services, rather than specialist treatment centres. This is a book for general mental health professionals who treat people with borderline personality disorder (BPD). It offers practical guidance on how to help people with BPD with advice based on research evidence. After a discussion of the symptoms of BPD, the authors review all the generalist treatment interventions that have resulted in good outcomes in randomised controlled trials, when compared with specialist treatments, and summarise the effective components of these interventions. The treatment strategies are organised into a structured approach called Structured Clinical Management (SCM), which can be delivered by general mental health professionals without extensive additional training. The heart of the book outlines the principles underpinning SCM and offers a step-by-step guide to the clinical intervention. Practitioners can learn the interventions easily and develop more confidence in treating people with BPD. In addition, a chapter is devoted to how to help families - an issue commonly neglected when treating patients with BPD. Finally the authors discuss the top 10 strategies for delivering treatment and outline how the general mental health clinician can deliver these strategies competently.
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Introduction to Psychoanalysis

Introduction to Psychoanalysis

Anthony W. Bateman; Jeremy Holmes; Elizabeth Allison

Routledge
2021
sidottu
What is psychoanalysis? Is it relevant to today’s mental health crisis? How can psychoanalysis help people suffering from psychological distress and illness? This vital new book examines how psychoanalysis has changed since its inception, and how it has adapted to the needs and concerns of 21st-century mental health professionals and patients.The first part of this book provides a concise and unbiased account of the origins of psychoanalysis, and the theories which characterise the main post-Freudian schools – neo-Freudian, Kleinian, interpersonal, self-psychological, Lacanian – and the ways in which they agree and diverge. The second part uses clinical illustrations to examine the practicalities of psychoanalytic technique in the consulting room – assessment, free association, dream analysis, transference, and counter-transference. Whatever their allegiance or role, mental health professionals – psychologists, psychiatrists, social workers, child mental health professionals, mental health nurses – need to be conversant with the strengths, relevance, and limitations of the psychoanalytic approach.This book provides an indispensable, up-to-date, and accessible account of psychoanalysis today. Shaped throughout by considering the viewpoint of an interested 21st-century reader, it is of great interest to psychoanalysts and related mental health professionals, as well as students and all those interested in the treatment of mental health.
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Introduction to Psychoanalysis

Introduction to Psychoanalysis

Anthony W. Bateman; Jeremy Holmes; Elizabeth Allison

Routledge
2021
nidottu
What is psychoanalysis? Is it relevant to today’s mental health crisis? How can psychoanalysis help people suffering from psychological distress and illness? This vital new book examines how psychoanalysis has changed since its inception, and how it has adapted to the needs and concerns of 21st-century mental health professionals and patients.The first part of this book provides a concise and unbiased account of the origins of psychoanalysis, and the theories which characterise the main post-Freudian schools – neo-Freudian, Kleinian, interpersonal, self-psychological, Lacanian – and the ways in which they agree and diverge. The second part uses clinical illustrations to examine the practicalities of psychoanalytic technique in the consulting room – assessment, free association, dream analysis, transference, and counter-transference. Whatever their allegiance or role, mental health professionals – psychologists, psychiatrists, social workers, child mental health professionals, mental health nurses – need to be conversant with the strengths, relevance, and limitations of the psychoanalytic approach.This book provides an indispensable, up-to-date, and accessible account of psychoanalysis today. Shaped throughout by considering the viewpoint of an interested 21st-century reader, it is of great interest to psychoanalysts and related mental health professionals, as well as students and all those interested in the treatment of mental health.
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Maritime Environmental Management

Maritime Environmental Management

Anthony W. Gallagher; Anthony James Morris

Routledge
2025
sidottu
In this comprehensive introduction to the issues surrounding the use of the marine environment, the contribution of the maritime sector, specifically shipping and ports, to global environmental impacts is explored in depth. Using an ecosystem-based approach, the author reviews these impacts and considers their relative significance. The book begins with a broad overview of the marine and coastal environment, including ecological, social, political and legal aspects of its resources and its uses. It presents the dynamic and interdisciplinary nature of environmental management as a means of mitigating or adapting to environmental impacts, placing it in the context of the maritime industry. The author proceeds to explore the environmental impacts of the maritime industry in detail, with in-depth treatments of the shipping and ports sectors. The book then outlines a range of practical tools employed in maritime environmental management such as risk assessment, impact assessment and environmental accounting. It describes the nature and role of relevant organisations, both national and international, and includes the latest regulations and agreements as well as highlighting a range of corporate responses such as management systems and corporate sustainability reporting. Effective marine management and responsible use of the marine environment by the maritime sector is increasingly demanded by society. This book considers the success of current systems in place, including the questions of value and specific mechanisms of funding. Finally, a horizon scanning view of marine and maritime environmental management summarises possible future developments and scenarios facing the maritime world.
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Maritime Environmental Management

Maritime Environmental Management

Anthony W. Gallagher; Anthony James Morris

Routledge
2025
nidottu
In this comprehensive introduction to the issues surrounding the use of the marine environment, the contribution of the maritime sector, specifically shipping and ports, to global environmental impacts is explored in depth. Using an ecosystem-based approach, the author reviews these impacts and considers their relative significance. The book begins with a broad overview of the marine and coastal environment, including ecological, social, political and legal aspects of its resources and its uses. It presents the dynamic and interdisciplinary nature of environmental management as a means of mitigating or adapting to environmental impacts, placing it in the context of the maritime industry. The author proceeds to explore the environmental impacts of the maritime industry in detail, with in-depth treatments of the shipping and ports sectors. The book then outlines a range of practical tools employed in maritime environmental management such as risk assessment, impact assessment and environmental accounting. It describes the nature and role of relevant organisations, both national and international, and includes the latest regulations and agreements as well as highlighting a range of corporate responses such as management systems and corporate sustainability reporting. Effective marine management and responsible use of the marine environment by the maritime sector is increasingly demanded by society. This book considers the success of current systems in place, including the questions of value and specific mechanisms of funding. Finally, a horizon scanning view of marine and maritime environmental management summarises possible future developments and scenarios facing the maritime world.
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On Alexander Gardner's Photographic Sketch Book of the Civil War

On Alexander Gardner's Photographic Sketch Book of the Civil War

Anthony W. Lee; Elizabeth Young

University of California Press
2008
pokkari
Soon after Alexander Gardner's "Photographic Sketch Book" was published, in 1866, it became the Civil War's best-known visual record and helped define how viewers, then and in subsequent generations, would come to know the war. Gardner's classic also became foundational in the history of American photography, combining, for the first time, words and images in a sophisticated and moving account. This book, written by the art historian Anthony W. Lee and the literary scholar Elizabeth Young, interprets the story of the war as told by Gardner, unraveling his careful choice of words and images and the complicated play between them, and understanding them against the backdrop of the literary and photographic cultures of the American antebellum and Reconstruction eras. This book presents a unique study of a pivotal American historical document, approaching it from the perspective of visual studies as well as American literature and history.
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