Method

This 2001 handbook surveys the state of practice, method and understanding in the field of mathematical finance. Every chapter has been written by leading researchers and each starts by briefly surveying the existing results for a given topic, then discusses more recent results and, finally, points out open problems with an indication of what needs to be done in order to solve them. The primary audiences for the book are doctoral students, researchers and practitioners who already have some basic knowledge of mathematical finance. In sum, this is a comprehensive reference work for mathematical finance and will be indispensable to readers who need to find a quick introduction or reference to a specific topic, leading all the way to cutting edge material.

This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes. A valuable reference for researchers and graduate students in the fields of general relativity, string theory and cosmology, this book will also be of interest to mathematical physicists in general.

The shift from state-led to market-oriented, neoliberal economic policies has been one of the most important changes in the developing world during the last two decades. Although much existing research has focused on why countries choose these neoliberal policy reforms and how they implement them, Richard Snyder's study offers an analysis of politics after neoliberalism. The book proposes a framework that explains how neoliberal reforms, rather than unleashing market forces, actually trigger 're-regulation' processes involving strategic interactions between political entrepreneurs and societal groups. Depending on the strengths and strategies of politicians and societal groups, reregulation results in different types of new institutions for market governance with contrasting consequences for economic efficiency and social justice. This framework is used in conjunction with an innovative subnational comparative method to analyze evidence from four Mexican states about the politics of re

This book examines emancipation after the Emancipation Proclamation of 1863. Focusing on the making and meaning of the Thirteenth Amendment, Final Freedom looks at the struggle among legal thinkers, politicians, and ordinary Americans in the North and the border states to find a way to abolish slavery that would overcome the inadequacies of the Emancipation Proclamation. The book tells the dramatic story of the creation of a constitutional amendment and reveals an unprecedented transformation in American race relations, politics, and constitutional thought. Using a wide array of archival and published sources, Professor Vorenberg argues that the crucial consideration of emancipation occurred after, not before, the Emancipation Proclamation; that the debate over final freedom was shaped by a level of volatility in party politics underestimated by prior historians; and that the abolition of slavery by constitutional amendment represented a novel method of reform that transformed attitude

The introduction of numerical methods, particularly finite element (FE) analysis, represents a significant advance in metal forming operations. Numerical methods are used increasingly to optimize product design and deal with problems in metal forging, rolling, and extrusion processes. Metal Forming Analysis, first published in 2001, describes the most important numerical techniques for simulating metal forming operations. The first part of the book describes principles and procedures and includes numerous examples and worked problems. The remaining chapters focus on applications of numerical analysis to specific forming operations. Most of these results are drawn from the authors' research in the areas of metal testing, sheet metal forming, forging, extrusion, and similar operations. Sufficient information is presented so that readers can understand the nonlinear finite element method as applied to forming problems without a prior background in structural finite element analysis. Gradu

The power of an anthropological approach to long-term history lies in its unique ability to combine diverse evidence, from archaeological artifacts to ethnographic texts and comparative word lists. In this innovative book, Kirch and Green explicitly develop the theoretical underpinnings, as well as the particular methods, for such a historical anthropology. Drawing upon and integrating the approaches of archaeology, comparative ethnography, and historical linguistics, they advance a phylogenetic model for cultural diversification, and apply a triangulation method for historical reconstruction. They illustrate their approach through meticulous application to the history of the Polynesian cultures, and for the first time reconstruct in extensive detail the Ancestral Polynesian culture that flourished in the Polynesian homeland - Hawaiki - some 2,500 years ago. Of great significance for Oceanic studies, Kirch and Green's book will be essential reading for any anthropologist, prehistorian,

Independent Component Analysis (ICA) has recently become an important tool for modelling and understanding empirical datasets. It is a method of separating out independent sources from linearly mixed data, and belongs to the class of general linear models. ICA provides a better decomposition than other well-known models such as principal component analysis. This self-contained book contains a structured series of edited papers by leading researchers in the field, including an extensive introduction to ICA. The major theoretical bases are reviewed from a modern perspective, current developments are surveyed and many case studies of applications are described in detail. The latter include biomedical examples, signal and image denoising and mobile communications. ICA is discussed in the framework of general linear models, but also in comparison with other paradigms such as neural network and graphical modelling methods. The book is ideal for researchers and graduate students in the field.

In this vital new study, Andrew Abbott presents a fresh and daring analysis of the evolution and development of the social sciences. Chaos of Disciplines reconsiders how knowledge actually changes and advances. Challenging the accepted belief that social sciences are in a perpetual state of progress, Abbott contends that disciplines instead cycle around an inevitable pattern of core principles. New schools of thought, then, are less a reaction to an established order than they are a reinvention of fundamental concepts.Chaos of Disciplines uses fractals to explain the patterns of disciplines, and then applies them to key debates that surround the social sciences. Abbott argues that knowledge in different disciplines is organized by common oppositions that function at any level of theoretical or methodological scale. Opposing perspectives of thought and method, then, in fields ranging from history, sociology, and literature, are to the contrary, radically similar; much like fractals, the

Computerized data acquisition systems are often the principle method of recording experimental results. This book takes the reader step-by-step through the process of data acquisition and analysis, explaining how to set up the systems and then obtain useful information from the data recorded. In an easy-to-read style, it guides researchers through the basics of data acquisition systems, explains the important underlying concepts, and gives numerous examples of how to analyze the recorded information. While aimed at researchers in the life sciences, the topics covered are general and will be valuable to anyone interested in learning to use data acquisition systems. The principles can be applied to the collection of data from respiratory apparatus to behavioral science experiments, and a host of other situations. Many illustrations and worked examples accompany the text, and the mathematics are kept simple. This book is an invaluable tool for the non-engineer who is collecting and analyz

Computerized data acquisition systems are often the principle method of recording experimental results. This book takes the reader step-by-step through the process of data acquisition and analysis, explaining how to set up the systems and then obtain useful information from the data recorded. In an easy-to-read style, it guides researchers through the basics of data acquisition systems, explains the important underlying concepts, and gives numerous examples of how to analyze the recorded information. While aimed at researchers in the life sciences, the topics covered are general and will be valuable to anyone interested in learning to use data acquisition systems. The principles can be applied to the collection of data from respiratory apparatus to behavioral science experiments, and a host of other situations. Many illustrations and worked examples accompany the text, and the mathematics are kept simple. This book is an invaluable tool for the non-engineer who is collecting and analyz

In Genders, Races and Religious Cultures in Modern American Poetries, Rachel Blau Duplessis shows how, through poetic language, modernist writers represented the debates and ideologies concerning New Woman, New Negro and New Jew in the early twentieth century. From the poetic text emerge such social issues of modernity as debates on suffrage, sexuality, manhood, and African-American and Jewish subjectivities. By a reading method she calls 'social philology' - a form of close reading inflected with the approaches of cultural studies - Duplessis engages with the work of such canonical poets as Wallace Stevens, Ezra Pound, T. S. Eliot, William Carlos Williams, Gertrude Stein, Marianne Moore and H. D., as well as Mina Loy, Countee Cullen, Alfred Kreymborg and Langston Hughes, writers, she claims, still marginalized by existing constructions of modernism. This book is an ambitious attempt to remap our understanding of modern poetries and poetics, and the relationship between early twentieth

This volume collects some of the seminal essays on Descartes by Daniel Garber, one of the pre-eminent scholars of early-modern philosophy. A central theme unifying the volume is the interconnection between Descartes' philosophical and scientific interests, and the extent to which these two sides of the Cartesian program illuminate each other, a question rarely treated in the existing literature. Amongst the specific topics discussed in the essays are Descartes' celebrated method, his demand for certainty in the sciences, his account of the relation of mind and body, and his conception of God's activity on the physical world. This collection will be a mandatory purchase for any serious student of or professional working in seventeenth-century philosophy, history of science, or history of ideas.

This volume collects some of the seminal essays on Descartes by Daniel Garber, one of the pre-eminent scholars of early-modern philosophy. A central theme unifying the volume is the interconnection between Descartes' philosophical and scientific interests, and the extent to which these two sides of the Cartesian program illuminate each other, a question rarely treated in the existing literature. Amongst the specific topics discussed in the essays are Descartes' celebrated method, his demand for certainty in the sciences, his account of the relation of mind and body, and his conception of God's activity on the physical world. This collection will be a mandatory purchase for any serious student of or professional working in seventeenth-century philosophy, history of science, or history of ideas.

The study of biofilm considers the close association of micro-organisms with each other at interfaces and the consequent physiological adaptation to the proximity of other cells and surfaces. As such it is relevant to a variety of disciplines, including medicine, dentistry, bioremediation, biofouling, water technology, engineering and food science. Although the habitats studied, and their associated cellular communities, differ widely, some common elements exist such as method of attachment, coadhesion, regulation of biofilm phenotype and biofilm architecture. This book aims to distil the common principles of biofilm physiology and growth for all interested disciplines. It will appeal to the specialist biofilm researcher as well as to students wishing to introduce themselves to the topic.

Although geometry has always aided intuition in econometrics, more recently differential geometry has become a standard tool in the analysis of statistical models, offering a deeper appreciation of existing methodologies and highlighting the essential issues which can be hidden in an algebraic development of a problem. Originally published in 2000, this volume was an early example of the application of these techniques to econometrics. An introductory chapter provides a brief tutorial for those unfamiliar with the tools of Differential Geometry. The topics covered in the following chapters demonstrate the power of the geometric method to provide practical solutions and insight into problems of econometric inference.

Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. In this volume the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves are discussed with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases which have important applications in image processing and numerical analysis. This method is now widely studied and can be used to tackle a wide variety of problems arising in science and engineering. Put simply, this is an essential purchase for anyone researching the theory of wavelets.

This book presents and analyses vortex methods as a tool for the direct numerical simulation of incompressible viscous flows. Vortex methods have matured, offering an interesting alternative to finite difference and spectral methods for high-resolution numerical solutions of the Navier–Stokes equations. Research in the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character that was the motivation for their introduction. Scientists working in the areas of numerical analysis and fluid mechanics will benefit from this book, which may serve both communities as both a reference monograph and a textbook for computational fluid dynamics courses.

This book challenges the widely-held view that Marxism is unable to deal adequately with environmental problems. Jonathan Hughes considers the nature of environmental problems, and the evaluative perspectives that may be brought to bear on them. He examines Marx's critique of Malthus, his method, and his materialism, interpreting the latter as a recognition of human dependence on nature. Central to the book's argument is an interpretation of the 'development of the productive forces' which takes account of the differing ecological impacts of different productive technologies while remaining consistent with the normative and explanatory roles that this concept plays within Marx's theory. Turning finally to Marx's vision of a society founded on the communist principle 'to each according to his needs', the author concludes that the underlying notion of human need is one whose satisfaction presupposes only a modest and ecologically feasible expansion of productive output.

This book challenges the widely-held view that Marxism is unable to deal adequately with environmental problems. Jonathan Hughes considers the nature of environmental problems, and the evaluative perspectives that may be brought to bear on them. He examines Marx's critique of Malthus, his method, and his materialism, interpreting the latter as a recognition of human dependence on nature. Central to the book's argument is an interpretation of the 'development of the productive forces' which takes account of the differing ecological impacts of different productive technologies while remaining consistent with the normative and explanatory roles that this concept plays within Marx's theory. Turning finally to Marx's vision of a society founded on the communist principle 'to each according to his needs', the author concludes that the underlying notion of human need is one whose satisfaction presupposes only a modest and ecologically feasible expansion of productive output.

The Films of Mike Leigh is the first critical study of one of the most important and eccentric directors of British independent filmmaking. Although active since 1971, Leigh has only come to the attention of an international audience in the 1990s through films such as Secrets and Lies and Career Girls. Like Robert Altman and John Cassevetes, Leigh works improvisationally, beginning with a small group of actors around whom he builds his films during months of private rehearsal. The script is written during this process. Ray Carney examines Leigh's working method and films in the intellectual and social contexts in which they were created. He argues that Leigh cannot be simply considered within the British realist tradition of Osborne and Loach. All of Leigh's major box office successes, including Naked, Life is Sweet and High Hopes, are analyzed, interpreted, and shown to be among the finest examples of cinema.

When the New Organon appeared in 1620, part of a six-part programme of scientific inquiry entitled 'The Great Renewal of Learning', Francis Bacon was at the high point of his political career, and his ambitious work was groundbreaking in its attempt to give formal philosophical shape to a new and rapidly emerging experimentally-based science. Bacon combines theoretical scientific epistemology with examples from applied science, examining phenomena as various as magnetism, gravity, and the ebb and flow of the tides, and anticipating later experimental work by Robert Boyle and others. His work challenges the entire edifice of the philosophy and learning of his time, and has left its mark on all subsequent philosophical discussions of scientific method. This volume presents a new translation of the text into modern English by Michael Silverthorne, and an introduction by Lisa Jardine that sets the work in the context of Bacon's scientific and philosophical activities.

Scientists and 'anti-scientists' alike need a more realistic image of science. The traditional mode of research, academic science, is not just a 'method': it is a distinctive culture, whose members win esteem and employment by making public their findings. Fierce competition for credibility is strictly regulated by established practices such as peer review. Highly specialized international communities of independent experts form spontaneously and generate the type of knowledge we call 'scientific' - systematic, theoretical, empirically-tested, quantitative, and so on. Ziman shows that these familiar 'philosophical' features of scientific knowledge are inseparable from the ordinary cognitive capabilities and peculiar social relationships of its producers. This wide-angled close-up of the natural and human sciences recognizes their unique value, whilst revealing the limits of their rationality, reliability, and universal applicability. It also shows how, for better or worse, the new 'po

When the New Organon appeared in 1620, part of a six-part programme of scientific inquiry entitled 'The Great Renewal of Learning', Francis Bacon was at the high point of his political career, and his ambitious work was groundbreaking in its attempt to give formal philosophical shape to a new and rapidly emerging experimentally-based science. Bacon combines theoretical scientific epistemology with examples from applied science, examining phenomena as various as magnetism, gravity, and the ebb and flow of the tides, and anticipating later experimental work by Robert Boyle and others. His work challenges the entire edifice of the philosophy and learning of his time, and has left its mark on all subsequent philosophical discussions of scientific method. This volume presents a new translation of the text into modern English by Michael Silverthorne, and an introduction by Lisa Jardine that sets the work in the context of Bacon's scientific and philosophical activities.

Cosmology: The Science of the Universe is an introduction to past and present cosmological theory. For much of the world's history, cosmological thought was formulated in religious or philosophical language and was thus theological or metaphysical in nature. However, cosmological speculation and theory has now become a science in which the empirical discoveries of the astronomer, theoretical physicist, and biologist are woven into intricate models that attempt to account for the universe as a whole. Professor Harrison draws on the discoveries and speculations of these scientists to provide a comprehensive survey of man's current understanding of the universe and its history. Tracing the rise of the scientific method, the major aim of this book is to provide an elementary understanding of the physical universe of modern times. Thoroughly revised and updated, this second edition extends the much acclaimed first edition taking into account the many developments that have occurred.

Drawing from postliberal, revisionary and Latin American liberation theological perspectives, David Kamitsuka offers proposals on theological method and doctrine responsive to the intellectual, pastoral and socio-political challenges of contemporary culture. He recasts inter-movement polemics in order to forge a theological approach which promotes what are often considered to be competing values among these three theological movements: solidarity with the oppressed (liberationist), redescribing the Christian communal sense of scripture (postliberal), and fully critical reflection (revisionist). The author advocates an apologetic strategy entailing coherentist and consensus elements for justifying Christian claims in the pluralistic public realm. He provides a model for reading scripture theologically which addresses the challenges of poststructuralism and a globally diverse Church. Kamitsuka uses rule theory to adjudicate doctrinal disputes on the relationship between salvation and pol

The central question of this book is whether the assignment of government functions to the individual jurisdictions in a federal state can ensure an optimal allocation of resources and a fair income distribution. The analysis thereby gives a new answer to the old question about the optimal degree of fiscal decentralization in a federal state. It shows that fiscal decentralization is a method to disclose the preferences of currently living and future generations for local public goods, to limit the size of the government, and to avoid excessive public debt finance. While the allocative branch of the government benefits from fiscal decentralization, it is difficult to obtain a distribution of incomes that differs from the outcome that the market brings along.

本書含納比較教育名家霍穆斯（B. Holmes）整個比較教育生涯的重要立論：諸如對早期比較教育研究所盛行的「文化借用」提出建設性批判，進行跨文化比較研究時較允當的科學方法與教育計畫、資料收集與分類的方法，以及霍氏本身頗為著名的問題解決方法論等；這些立論與比較教育領域長久以來爭論不休的許多重要議題密切相關，詳讀本書，可以對比較教育領域在理論與方法上的議題有較為深入的瞭解。

Drawing on the kind of historicist perspective encouraged by Quentin Skinner and Richard Rorty, this book explores the development of Durkheim's social realism. Durkheim argued that social facts should be studied as real, concrete things but Professor Jones argues that his social realism was less a sociological method than a way of speaking and thinking about social phenomena through which Durkheim hoped to secure the allegiance of French citizens to the Third Republic. Professor Jones's book, based on many years' research in this area, takes advantage for the first time of newly discovered lecture notes from Durkheim's philosophy class of 1883–4 and explores the significance of German social science in Durkheim's thought. The Development of Durkheim's Social Realism will be of immense value to graduate students and scholars in sociology, social theory, social and political philosophy and history of ideas.

This book is a comprehensive account of what it means to try to quantify health in distributing resources for health care. It examines the concept of QALYs (Quality Adjusted Life Year) which supposedly makes it more accurate to talk about life in terms of both quality and quantity of years lived when referring to health care policy. It offers an elegant new approach to comparing the costs and benefits of medical interventions. Cost-Utility Analysis (CUA) is a method designed by economists to aid decision makers distribute scarce resources to areas of health care where they will yield the greatest benefits. Erik Nord questions the feasibility of measuring patients' quality of life meaningfully in numerical terms, as CUA presupposes. He presents an alternative approach called cost-value analysis in which representative samples of the general public express preferences between different health-care programs. In this approach, subjects are allowed to include concerns for fairness that go b

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKB-method, stationary phase and h-pseudodifferential operators. The applications include results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. No previous specialized knowledge in quantum mechanics or microlocal analysis is assumed, and only general facts about spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry belong to the prerequisites. This book is addressed to researchers and graduate students in mathematical analysis, as well as physicists who are interested in rigorous results. A fairly large fraction can be

This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in ch

Cultures of Inquiry provides an overview of research methodologies in social science, historical and cultural studies. Facing Kant's proposition that pure reason cannot contain social inquiry, John R. Hall uses a method of hermeneutic deconstruction to produce a 'critique of impure reason', thereby charting a 'third path' to knowledge. Inquiries conventionally allocated to science or interpretation, modern or postmodern, he argues, depend upon interconnected methodologies that transcend present-day disciplinary and interdisciplinary boundaries. He identifies four formative discourses and eight methodological practices of inquiry, and explores new possibilities for translation between different types of knowledge. Cultures of Inquiry neither exoticizes academic subcultures nor essentializes Culture as the spirit of academe. Instead, it addresses workaday issues of research via a sociology of knowledge that speaks to controversies concerning how inquiry is and ought to be practiced under

Cultures of Inquiry provides an overview of research methodologies in social science, historical and cultural studies. Facing Kant's proposition that pure reason cannot contain social inquiry, John R. Hall uses a method of hermeneutic deconstruction to produce a 'critique of impure reason', thereby charting a 'third path' to knowledge. Inquiries conventionally allocated to science or interpretation, modern or postmodern, he argues, depend upon interconnected methodologies that transcend present-day disciplinary and interdisciplinary boundaries. He identifies four formative discourses and eight methodological practices of inquiry, and explores new possibilities for translation between different types of knowledge. Cultures of Inquiry neither exoticizes academic subcultures nor essentializes Culture as the spirit of academe. Instead, it addresses workaday issues of research via a sociology of knowledge that speaks to controversies concerning how inquiry is and ought to be practiced under

This third volume of Paul Feyerabend's philosophical papers, which gathers together work originally published between 1960 and 1980, offers a range of his characteristically exciting treatments of classic questions in the philosophy of science. It includes his previously untranslated paper 'The Problem of Theoretical Entities', and the important lecture 'Knowledge without Foundations', in which he develops the perspective on early philosophy and science put forward by Karl Popper. Other themes discussed include theoretical pluralism, the nature of scientific method, the relationship between theory and observation, the distinction between science and myth, and the opposition between 'rationalism' and relativism. Several papers from the 1970s detail his increasing preoccupation with the social status of science and with the decline (as he perceived it) in quality within the philosophy of science itself. The volume is completed by a substantial introduction and a comprehensive list of Fey

In our society, the recognition of talent depends largely on idealized and entrenched perceptions of academic achievement and job performance. Thinking Styles bucks this trend by emphasizing the method of our thought rather than its content. Psychologist Robert Sternberg argues that ability often goes unappreciated and uncultivated not because of lack of talent, but because of conflicting styles of thinking and learning. Using a variety of examples that range from scientific studies to personal anecdotes, Sternberg presents a theory of thinking styles that aims to explain why aptitude tests, school grades, and classroom performance often fail to identify real ability. He believes that criteria for intelligence in both school and the workplace are unfortunately based on the ability to conform rather than learn. He takes the theory a step further by stating that 'achievement' can be a result of the compatibility of personal and institutional thinking styles, and 'failure' is too often th

The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

What meanings do buildings and places convey to the people who use and visit them? Too often, design competitions and signature architecture result in costly eyesores that do not work. How can sponsors and clients get more meaningful results? In answer to these questions, Dr Nasar, supported by riveting studies of competitions and Peter Eisenman's competition-winning design for the Wexner Center at the Ohio State University, suggests the use of pre-jury evaluation (PJE). He shows the potential value of this approach as well as visual quality programming for many kinds of environmental design for which the client wants to convey certain desirable meanings. The studies, from those specific to the Wexner Center to those covering the scope of history, point to an alternative method for shaping the visual form of buildings, places and cities.

Three factors prompt this re-examination of the underlying questions that shape mainstream exegesis of Paul's letters. Hermeneutical studies have destabilized assumptions about the nature of meaning in texts; the letters are usually characterized as pastoral but explicated as expressions of Paul's thought; and the impact of E. P. Sanders' work on Paul has sharpened exegetical problems in Romans 1.16-4.25. The outcome is a two-step method of exegesis that considers a letter first in the light of the author's purpose in creating it and second as evidence for the patterns of thought from which it sprang. The passage appears as pastoral preaching, helping the Romans to deal with the implications of the fact that the God of Israel is now accepting believing Gentiles on the same basis as believing Jews. Justification by grace through faith emerges as the theological understanding of God's action in Christ that grounds pastoral speech.

The founding text of modern hermeneutics. Written by the philosopher and theologian Friedrich Schleiermacher as a method for the interpretation and textual criticism of the New Testament, it develops ideas about language and the interpretation of texts that are in many respects still unsurpassed and are becoming current in the contemporary philosophy of language. Contrary to the traditional view of Schleiermacher as a theorist of empathetic interpretation, in this text he offers a view of understanding that acknowledges both the structurally and historically determined aspects of language and the need to take account of the activity of the individual subject in the constitution of meaning. This volume offers the text in a new translation by Andrew Bowie, together with related writings on secular hermeneutics and on language, and an introduction that places the texts in the context of Schleiermacher's philosophy as a whole.

The Cyrenaic school was a fourth-century BC philosophical movement, related both to the Socratic tradition and to Greek Scepticism. In ethics, Cyrenaic hedonism can be seen as one of many attempts made by the associates of Socrates and their followers to endorse his ethical outlook and to explore the implications of his method. In epistemology, there are close philosophical links between the Cyrenaics and the Sceptics, both Pyrrhonists and Academics. There are further links with modern philosophy as well, for the Cyrenaics introduced a form of subjectivism which in some ways preannounces Cartesian views, endorsed by Malebranche and Hume and developed by Kant. This 1998 book reconstructs Cyrenaic epistemology, explains how it depends on Cyrenaic hedonism, locates it in the context of ancient debates, and discusses its connections with modern and contemporary epistemological positions.