Classical Recursion Theory

Professor Buchdahl presents a systematic exposition of classical thermodynamics, against a background of general physical theory and on a purely phenomenological (i.e. non-statistical) level. Although particular attention is paid to the meaning of the various concepts introduced, Professor Buchdahl is not afraid of making simplifications where these are likely to enhance the reader's understanding of the subject and the relationships between the principal and ancillary laws. The emphasis throughout is on meaning and physical significance. Specific applications of the general theory are discussed in two final chapters. This book, first published in 1966, is intended for the student who has taken a first course in analytical, though not axiomatic, development of the subject. It will supplement rather than replace, the many familiar introductory treatments of thermodynamics.

During past years many countries constructed large accelerators for investigating heavy ion collisions, and new theoretical techniques for analysing results and making predictions were developed. Semi-classical methods were studied in the early days of quantum mechanics. Their application to heavy ion collisions has led to new advances and a number of different schools have grown up, each one emphasising different aspects of the theory. The aim of this book is to present a unified treatment of various lines of development. This book will be of great interest to graduate students wishing to learn about semi-classical methods in nuclear physics and to theoretical and experimental nuclear physicists, especially those working in heavy ion physics. It will also be of interest to research workers in other areas, such as atomic physics and quantum chemistry, where similar techniques are used.

Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles, a robust method that is novel in this context. The authors then present examples and applications, showing how Heisenberg manifolds (step 2 sub-Riemannian manifolds) might in the future play a role in quantum mechanics similar to the role played by the Riemannian manifolds in classical mechanics. Sub-Riemannian Geometry: General Theory and Examples is the perfect resource for graduate students and researchers in pure and applied mathematics, theoretical physics, control theory, and thermodynamics interested in the most recent developments in sub-Riemannian geometry.

This is a book about Aristotle's philosophy of language, interpreted in a framework that provides a comprehensive interpretation of Aristotle's metaphysics, philosophy of mind, epistemology and science. The aim of the book is to explicate the description of meaning contained in De Interpretatione and to show the relevance of that theory of meaning to much of the rest of Aristotle's philosophy. In the process Deborah Modrak reveals how that theory of meaning has been much maligned. This is a major reassessment of an underestimated aspect of Aristotle that will be of particular interest to classical philosophers, classicists and historians of psychology and cognitive science.

Although classical electromagnetic (EM) field theory is typically embedded in vector calculus and differential equations, many of the basic concepts and characteristics can be understood with precurso

Information theory lies at the heart of modern technology, underpinning all communications, networking, and data storage systems. This book sets out, for the first time, a complete overview of both classical and quantum information theory. Throughout, the reader is introduced to key results without becoming lost in mathematical details. Opening chapters present the basic concepts and various applications of Shannon's entropy, moving on to the core features of quantum information and quantum computing. Topics such as coding, compression, error-correction, cryptography and channel capacity are covered from classical and quantum viewpoints. Employing an informal yet scientifically accurate approach, Desurvire provides the reader with the knowledge to understand quantum gates and circuits. Highly illustrated, with numerous practical examples and end-of-chapter exercises, this text is ideal for graduate students and researchers in electrical engineering and computer science, and practitione

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 book is an authoritative description of the various approaches to and methods in the theory of irregularities of distribution. The subject is primarily concerned with number theory, but also borders on combinatorics and probability theory. The work is in three parts. The first is concerned with the classical problem, complemented where appropriate with more recent results. In the second part, the authors study generalizations of the classical problem, pioneered by Schmidt. Here, they include chapters on the integral equation method of Schmidt and the more recent Fourier transform technique. The final part is devoted to Roth's '1/4-theorem'.

This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas th

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the

Image Processing with MATLABR: Applications in Medicine and Biology explains complex, theory-laden topics in image processing through examples and MATLABR algorithms. It describes classical as well em

Everyday life is the most important dimension of society. Introducing classical and contemporary theory alongside key empirical work, this is a comprehensive exploration of everyday life sociologies.

Everyday life is the most important dimension of society. Introducing classical and contemporary theory alongside key empirical work, this is a comprehensive exploration of everyday life sociologies.

An introduction to the principles of classical riding, with key exercises on how to adopt the classical seat and use classical training methods to improve your horse’s way of going, in hand, on the lu

Supervision in analytical psychology is a topic that until recently has been largely neglected. Vision and Supervision draws on archetypal, classical, and developmental Post-Jungian theory to explore

Based upon classical and contemporary theory and empirical research, this text forms a sociological analysis of organizations, focusing on the impacts that organizations have upon individuals and soci

This book considers classical and current theory and practice, of both supervised and unsupervised pattern recognition, to build a complete background for professionals and students of engineering. Th

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.

Compact but comprehensive, this textbook presents the essential concepts of electronic circuit theory. As well as covering classical linear theory involving resistance, capacitance and inductanc

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.

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

For students and scholars of classical studies, philosophy, and political theory, Recco (St. John's College, Annapolis) attempts to show that despite the typical thought that Plato's Republic recommen

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

The contributors of these 21 essays apply classical complexity science to the art of public policy making. They address the rising importance of complexity theory in leadership research, the parallel

This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for re

An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples.

Scholars of literature explore how classical rhetorical theory was accommodated to the needs of a post-classical Christian culture, and the context in which this development took place. The obvious ve

This is a history of international monetary thought from the end of the nineteenth to the middle of the twentieth century. It provides a comprehensive survey of the literature produced on international macroeconomics for that period. It will be of interest to teachers of and graduate students in international monetary economics, monetary theory, and the history of economic thought. Professor Flanders argues that progress in the field of international monetary economics (or in the discipline as a whole) has not been linear. Instead of writing a sequential, chronological story, she has classified the literature according to groupings of ideas and classes of models. After a brief survey of the Classical doctrines, the book covers the developments of major approaches, which are labelled Neoclassical, Late Classical, and Keynesian. The models are conceptualized in two streams: stream F encompasses formal, long-run equilibrium models, all of which emerge from a common proto-model involving t

Classical political theorists such as Thucydides, Kant, Rousseau, Smith, Hegel, Grotius, Mill, Locke and Clausewitz are often employed to explain and justify contemporary international politics and are seen to constitute the different schools of thought in the discipline. However, traditional interpretations frequently ignore the intellectual and historical context in which these thinkers were writing as well as the lineages through which they came to be appropriated in International Relations. This collection of essays provides alternative interpretations sensitive to these political and intellectual contexts and to the trajectory of their appropriation. The political, sociological, anthropological, legal, economic, philosophical and normative dimensions are shown to be constitutive, not just of classical theories, but of international thought and practice in the contemporary world. Moreover, they challenge traditional accounts of timeless debates and schools of thought and provide ne

This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operator

Inigo Jones worked as hard on the creation of his architectural persona as he did on the design of the buildings for the early Stuart court. Through his study of continental architectural and art theory, humanist education, and courtly behavior, Jones redefined the intellectual status of architecture in England and forged a new role for the architect in public life. Since his death, he has been variously described as the first educated architect, the first classicist, the first Renaissance architect in Britain, and the savior of British building from the long winter of the Elizabethan style. This reputation has overlooked the many ways that Jones drew on English customs in order to shape classical architecture for a domestic audience. This 2006 book explores the creation of Jones as professional architect and the development of classical architecture in England through a study of his reading, writing, and architectural practice.

Open Design bypasses classical theory of decision making and uses a linear programming model to capture the elements of group decision making in an attempt to develop a theory of architectural design.

This Second Edition is a thoroughly revised, expanded version of the bestselling student text in classical social theory. Author Kenneth Morrison provides an authoritative, accessible undergraduate g

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Wri

Mieszkowski (German, Reed College, Oregon) analyzes the relationship between aesthetics and classical political economy, and the significance of that relationship for contemporary cultural theory. Les

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.

Suitable for advanced undergraduates and graduate students, this text surveys the classical theory of the calculus of variations. Topics include static systems, control systems, additional constraints

Susan Haack's anthology presents a broad and diverse selection of pragmatist writings, classical and contemporary, reformist and revolutionary, ranging from logic, metaphysics, theory of inquiry, phi