Classical Recursion Theory

In this volume, Richard Ned Lebow introduces his own constructivist theory of political order and international relations based on theories of motives and identity formation drawn from the ancient Greeks. His theory stresses the human need for self-esteem, and shows how it influences political behavior at every level of social aggregation. Lebow develops ideal-type worlds associated with four motives: appetite, spirit, reason and fear, and demonstrates how each generates a different logic concerning cooperation, conflict and risk-taking. Expanding and documenting the utility of his theory in a series of historical case studies, ranging from classical Greece to the war in Iraq, he presents a novel explanation for the rise of the state and the causes of war, and offers a reformulation of prospect theory. This is a novel theory of politics by one of the world's leading scholars of international relations.

In this volume, Richard Ned Lebow introduces his own constructivist theory of political order and international relations based on theories of motives and identity formation drawn from the ancient Greeks. His theory stresses the human need for self-esteem, and shows how it influences political behavior at every level of social aggregation. Lebow develops ideal-type worlds associated with four motives: appetite, spirit, reason and fear, and demonstrates how each generates a different logic concerning cooperation, conflict and risk-taking. Expanding and documenting the utility of his theory in a series of historical case studies, ranging from classical Greece to the war in Iraq, he presents a novel explanation for the rise of the state and the causes of war, and offers a reformulation of prospect theory. This is a novel theory of politics by one of the world's leading scholars of international relations.

This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over

Wexler (sociology of education, Hebrew University of Education, Jerusalem) shows how classical sociology sets the frame for theory and research in education. He concentrates on Durkheimian, Marxist, a

Classical mechanics and quantum mechanics are two of the most successful scientific theories ever discovered, and yet how they can describe the same world is far from clear: one theory is deterministic, the other indeterministic; one theory describes a world in which chaos is pervasive, the other a world in which chaos is absent. Focusing on the exciting field of 'quantum chaos', this book reveals that there is a subtle and complex relation between classical and quantum mechanics. It challenges the received view that classical and quantum mechanics are incommensurable, and revives another, largely forgotten tradition due to Niels Bohr and Paul Dirac. By artfully weaving together considerations from the history of science, philosophy of science, and contemporary physics, this book offers a new way of thinking about intertheory relations and scientific explanation. It will be of particular interest to historians and philosophers of science, philosophically-inclined physicists, and intere

This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operato

Edwards collects 12 published and unpublished essays he wrote in the 1980s and 1990s on modern music, postmodern musicology and literary theory, and analyses of Haydn string quartets and Schubert's Fi

Many of the great works of world literature are composed in metrical verse, that is, in lines which are measured and patterned. Meter in Poetry: A New Theory is the first book to present a single simple account of all known types of metrical verse, which is illustrated with detailed analyses of poems in many languages, including English, Spanish, Italian, French, classical Greek and Latin, Sanskrit, classical Arabic, Chinese, Vietnamese, and Latvian. This outstanding contribution to the study of meter is aimed both at students and scholars of literature and languages, as well as anyone interested in knowing how metrical verse is made.

Many of the great works of world literature are composed in metrical verse, that is, in lines which are measured and patterned. Meter in Poetry: A New Theory is the first book to present a single simple account of all known types of metrical verse, which is illustrated with detailed analyses of poems in many languages, including English, Spanish, Italian, French, classical Greek and Latin, Sanskrit, classical Arabic, Chinese, Vietnamese, and Latvian. This outstanding contribution to the study of meter is aimed both at students and scholars of literature and languages, as well as anyone interested in knowing how metrical verse is made.

This book contains a thorough discussion of the classical topics in information theory together with the first comprehensive treatment of network coding, a subject first emerged under information theo

This book contains a thorough discussion of the classical topics in information theory together with the first comprehensive treatment of network coding, a subject first emerged under information theo

Feeling that theory has been neglected within the field of ritual studies, Kreinath (sociocultural anthropology, Wichita State U., US), Snoek (sciences of religion, U. of Heidelberg, Germany), and Sta

Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960s in the development of the theory of separated flows at high Reynolds numbers are in many ways associated with the use of asymptotic methods. The most fruitful of these has proved to be the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. There have been many papers devoted to different problems in the asymptotic theory of separated flows and we can confidently speak of the appearance of a very productive direction in the development of theoretical hydrodynamics. This book will present this theory in a systematic account. The book will serve as a useful introduction to the theory, and will draw attention to the possibilities that application of the asymptotic approach provides.

In this book, Rachel Kousser draws on contemporary reception theory to present an approach to Hellenistic and Roman ideal sculpture. She analyzes the Romans' preference for retrospective, classicizing statuary based on Greek models as opposed to the innovative creations prized by modern scholars. Using a case study of a particular sculptural type, a forceful yet erotic image of Venus, Kousser argues that the Romans self-consciously employed such sculptures to represent their ties to the past in a rapidly evolving world. Kousser presents Hellenistic and Roman ideal sculpture as an example of a highly effective artistic tradition that was, by modern standards, extraordinarily conservative. At the same time, the Romans' flexible and opportunistic use of past forms also had important implications for the future: it constituted the origins of classicism in Western art.

This self-contained text for advanced undergraduate and graduate students is devoted to classical quasistatic problems of rate-independent plasticity theory. It discusses the finite element method for

The framers of the American Constitution were substantially influenced by ancient history and classical political theory, as exemplified by their education, the availability of classical readings, and their inculcation in classical republican values. This volume explores how the framing generation deployed classical learning to develop many of the essential structural aspects of the Constitution: federalism, separation of powers, a bicameral legislature, independent courts, and the war and foreign relations powers. Also examined are very contemporary constitutional debates, for which there were classical inspirations, including sovereign immunity, executive privilege, line-item vetoes, and the electoral college. Combining techniques of intellectual history, classical studies, and constitutional interpretation, this book makes a unique contribution to our understanding of contemporary constitutionalism.

Carl Schmitt’s magnum opus, written during the Weimar regime, wherein Schmitt challenges the theories and practices of Western constitutional government, claiming that classical conceptions

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: historical background is woven into the narrative, variant proofs illustrate obstructions, false steps and the development of insight, in a manner reminiscent of Euler. It is shown how to formulate theorems as well as how to construct their proofs. Elementary notions from functional analysis, Fourier analysis, functional equations and stability in mechanics are controlled by a geometric view and synthesized to provide an arithmetical analogue of classical harmonic analysis that is powerful enough to establish arithmetic propositions until now beyond reach. Connections with other branches of analysis are illustrated by over 250 exercises, st

This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student wi

This student's guide is a clear and concise handbook to the key connections between Classical Studies and critical theory in the twentieth century. Louise Hitchcock looks at the way Classics has been

This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student wi

This student's guide is a clear and concise handbook to the key connections between Classical Studies and critical theory in the twentieth century. Louise Hitchcock looks at the way Classics has been

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the

Examining the political theory of anarchism from a philosophical and historical perspective, Paul McLaughlin relates anarchism to the fundamental ethical and political problem of authority. The book p

Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. In addition to classical concepts and ideas, the auth

Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop titled 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have experienced substantial progress. One of the major surveys is on symplectic geometry, which is closely related to classical mechanics and an exciting addition to modern geometry. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this book fascinating. The book also includes a fifty-page commented problem list that takes the reader beyond the areas covered by the surveys, to inspire and guide further research.

The ancient science of harmonics investigates the arrangements of pitched sounds which form the basis of musical melody, and the principles which govern them. It was the most important branch of Greek musical theory, studied by philosophers, mathematicians and astronomers as well as by musical specialists. This 2007 book examines its development during the period when its central ideas and rival schools of thought were established, laying the foundations for the speculations of later antiquity, the Middle Ages and the Renaissance. It concentrates particularly on the theorists' methods and purposes and the controversies that their various approaches to the subject provoked. It also seeks to locate the discipline within the broader cultural environment of the period; and it investigates, sometimes with surprising results, the ways in which the theorists' work draws on and in some cases influences that of philosophers and other intellectuals.

Quantum theory confronts us with bizarre paradoxes which contradict the logic of classical physics. This book takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, He

In this book, Caroline van Eck examines how rhetoric and the arts interacted in early modern Europe. She argues that rhetoric, though originally developed for persuasive speech, has always used the visual as an important means of persuasion, and hence offers a number of strategies and concepts for visual persuasion as well. The book is divided into three major sections - theory, invention, and design. Van Eck analyzes how rhetoric informed artistic practice, theory, and perception in early modern Europe. This is the first full-length study to look at the issue of visual persuasion in both architecture and the visual arts, and to investigate what roles rhetoric played in visual persuasion, both from the perspective of artists and that of viewers.

This book is the third volume of previously published essays from Heinz D. Kurz and Neri Salvadori, following Understanding Classical Economics (1998) and Classical Economics and Modern Theory (2003).

These notes are based on six Fermi Lectures held at the Scuola Normale Superiore in Pisa in March and April 1981. The topics treated depend on basic concepts of classical mechanics, elementary geometr

In the eloquent style for which he has become famous, Charles Lemert writes of social theory as no one else. Thinking the Unthinkable is offered as text for instruction, yet it defies the prevailing a

This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations

In the eloquent style for which he has become famous, Charles Lemert writes of social theory as no one else. Thinking the Unthinkable is offered as text for instruction, yet it defies the prevailing a

The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it c

This book is about the conceptual foundations of an intermediate way between liberalism and socialism: a synthesis of classical (Ricardian) and Keynesian political economy. Classical theory deals with proportions between individuals or collectives and society in tackling problems of distribution and value. Keynesian theory is concerned with the scale of economic activity as explained by effective demand. The economy considered is primarily a monetary production economy, not a market or a planned economy. The author sets up a system linking political economy with other social sciences, i.e. sociology, law and politics in the traditional sense, thus establishing the unity of the social sciences. To complete the picture, issues of method associated with the theory of knowledge in the social sciences and the problem of linking theory with historical reality are also covered.

The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary gam

For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of compl

For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of compl

This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.