Classical Recursion Theory

The Routledge Handbook of Classics and Cognitive Theory is an interdisciplinary volume that examines the application of cognitive theory to the study of the classical world, across several interrelate

Siegfried Kracauer's classic study, originally published in 1960, explores the distinctive qualities of the cinematic medium. The book takes its place alongside works in classical film theory by such

Marx’s Inferno reconstructs the major arguments of Karl Marx’s Capital and inaugurates a completely new reading of a seminal classic. Rather than simply a critique of classical political economy, Will

This book focuses on theoretical aspects of the affine projection algorithm (APA) for adaptive filtering. The APA is a natural generalization of the classical, normalized least-mean-squares (NLMS) alg

This book provides students and scholars of classical literature with a practical guide to modern literary theory and criticism. Using a clear and concise approach, it navigates readers through variou

Rereads classical figures in continental thought, takes up current topics in the legacy of political theory, and analyzes and evaluates Foucault's work as a prime manifestation of the complicated mode

"... excellent book... " —The Classical Outlook"... brief and readable... There is good tonic in these pages for the serious student of oral tradition... a remarkable book." —Asian

This broadly based graduate-level textbook covers the major models and statistical tools currently used in the practice of econometrics. It examines the classical, the decision theory, and the Bayesia

This incredibly useful volume offers an introduction to the history of literary criticism and theory from classical antiquity to the present. It is almost impossible to read or study literature withou

This incredibly useful volume offers an introduction to the history of literary criticism and theory from classical antiquity to the present. It is almost impossible to read or study literature withou

A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the

The book provides a self-contained introduction to classical?Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historic

This second edition covers all main topics of spatial economics, plant location, and the theory of nested market areas. The book starts from the classical models of the space economy which are stated

The main goal of this book is to demonstrate the usefulness of set-theoretical methods in various questions of real analysis and classical measure theory. In this context, many statements and facts fr

This new critique of Aquinas's theory of natural law presents an incisive, new analysis of the central themes and relevant texts in the Summa Theologiae which became the classical canon for natural la

This book is a valuable read for a diverse group of researchers and practitioners who analyze assessment data and construct test instruments. It focuses on the use of classical test theory (CTT) and i

The aim of this work is to study the principles upon which the classical and relativistic theories of the electromagnetic and gravitational fields are based. Thus, the primary object of the book is to

A new edition of this book explores more theorems than ever that may be deduced from simple facts about the Cauchy integral formula, the most central result in all of classical function theory. The bo

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin–Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory.

Argues for the contemporary importance of Thucydides and Plato for both democratic political theory and democratic citizens.

The Classical Stefan Problem: Basic Concepts, Modeling and Analysis with Quasi-Analytical Solutions and Methods, Second Edition provides the fundamental theory, concepts, modeling and analysis of the

Number theory has a long and distinguished history and the concepts and problems relating to the subject have been instrumental in the foundation of much of mathematics. In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner. Though most of the text is classical in content, he includes many guides to further study which will stimulate the reader to delve into the great wealth of literature devoted to the subject. The book is based on Professor Baker's lectures given at the University of Cambridge and is intended for undergraduate students of mathematics.

Roman Law in the State of Nature offers a new interpretation of the foundations of Hugo Grotius' natural law theory. Surveying the significance of texts from classical antiquity, Benjamin Straumann argues that certain classical texts, namely Roman law and a specifically Ciceronian brand of Stoicism, were particularly influential for Grotius in the construction of his theory of natural law. The book asserts that Grotius, a humanist steeped in Roman law, had many reasons to employ Roman tradition and explains how Cicero's ethics and Roman law - secular and offering a doctrine of the freedom of the high seas - were ideally suited to provide the rules for Grotius' state of nature. This fascinating new study offers historians, classicists and political theorists a fresh account of the historical background of the development of natural rights, natural law and of international legal norms as they emerged in seventeenth-century early modern Europe.

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers.

For the last century, economic analysis has been wedded to the idea of equilibrium, in spite of the evident fact that most economic relationships are in flux. The theory of transformational growth in this work replaces equilibrium with history. The role of the market is not to allocate resources, but to generate innovations, which are 'selected' by competition in an evolutionary process. These innovations in turn change the way markets work and how they adjust, thus creating new problems and new kinds of pressures to innovate. Different historical periods can be distinguished with a new one perhaps on the horizon. In each a distinctive style of technology prevails, associated with corresponding institutions and patterns of market behavior. The core relationships provide the foundations for a theory of monetary circulation, which makes possible a revised Keynesian approach, based on Classical foundations.

In Social Capital, Nan Lin explains the importance of using social connections and social relations in achieving goals. Social capital, or resources accessed through such connections and relations, is critical (along with human capital, or what a person or organization actually possesses) to individuals, social groups, organizations, and communities in obtaining their objectives. This book places social capital in the family of capital theories (the classical and neo-capital theories), articulates its elements and propositions, presents research programs, findings, and agenda, and theorizes its significance in various moments of interactions between individual actions and social structure (for example, the primordial groups, social exchanges, organizations, institutional transformations and cybernetworks). Nan Lin eloquently introduces a groundbreaking theory that forcefully argues and shows why it is 'who you know', as well as 'what you know' that makes a difference in life and societ

In Social Capital, Nan Lin explains the importance of using social connections and social relations in achieving goals. Social capital, or resources accessed through such connections and relations, is critical (along with human capital, or what a person or organization actually possesses) to individuals, social groups, organizations, and communities in obtaining their objectives. This book places social capital in the family of capital theories (the classical and neo-capital theories), articulates its elements and propositions, presents research programs, findings, and agenda, and theorizes its significance in various moments of interactions between individual actions and social structure (for example, the primordial groups, social exchanges, organizations, institutional transformations and cybernetworks). Nan Lin eloquently introduces a groundbreaking theory that forcefully argues and shows why it is 'who you know', as well as 'what you know' that makes a difference in life and societ

What are the features of a good scientific theory? Samuel Schindler's book revisits this classical question in the philosophy of science and develops new answers to it. Theoretical virtues matter not only for choosing theories 'to work with', but also for what we are justified in believing: only if the theories we possess are good ones (qua virtues) can we be confident that our theories' claims about nature are actually correct. Recent debates have focussed rather narrowly on a theory's capacity to predict new phenomena successfully, but Schindler argues that the justification for this focus is thin. He discusses several other theory properties such as testability, accuracy, and consistency, and highlights the importance of simplicity and coherence. Using detailed historical case studies and careful philosophical analysis, Schindler challenges the received view of theoretical virtues and advances arguments for the view that science uncovers reality through theory.

This book provides a complete exposition of the theory of nuclear magnetic relaxation caused by the thermal motion of the molecule containing the relaxing nucleus. The author begins by defining the physical quantities encountered in nuclear magnetic resonance studies and surveying pioneering investigations in the field. Nuclear magnetic relaxation by scalar, dipolar, quadrupolar and spin-rotational interactions and by anisotropic chemical shift are then examined in detail. Relaxation rates are expressed in terms of spectral densities, and the values of the spectral densities for various molecular shapes are calculated by random walk or Brownian motion dynamics. The text should be within the grasp of readers who have taken undergraduate courses in electromagnetic theory and in classical and quantum mechanics, although topics in these fields of particular relevance are to be found in appendices. This book will be of value to postgraduate students and research workers using n.m.r. in phys

The rule of law is the most important political ideal today, yet there is much confusion about what it means and how it works. This 2004 book explores the history, politics, and theory surrounding the rule of law ideal, beginning with classical Greek and Roman ideas, elaborating on medieval contributions to the rule of law, and articulating the role played by the rule of law in liberal theory and liberal political systems. The author outlines the concerns of Western conservatives about the decline of the rule of law and suggests reasons why the radical Left have promoted this decline. Two basic theoretical streams of the rule of law are then presented, with an examination of the strengths and weaknesses of each. The book examines the rule of law on a global level, and concludes by answering the question of whether the rule of law is a universal human good.

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Admissible set theory is a major source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume, the seventh publication in the Perspectives in Logic series, Jon Barwise presents the basic facts about admissible sets and admissible ordinals in a way that makes them accessible to logic students and specialists alike. It fills the artificial gap between model theory and recursion theory and covers everything the logician should know about admissible sets.

This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

Traditionally, two clinical models have been dominant in psychoanalysis: the classical paradigm, which views the analyst as an objective mirror, and the participant-observation paradigm, which views t

This book demonstrates the empirical gains and integrative potentials of social systems theory for the sociology of law. Against a backdrop of classical and contemporary sociological debates about law

Introducing a new practical approach within the field of applied mechanics developed to solve beam strength and bending problems using classical beam theory and beam modeling, this outstandi

Imparts the similarities and differences between ratified and condensed matter, classical and quantum systems as well as real and ideal gases. Presents the quasi-thermodynamic theory of gas-liquid int

Religion, Theory, Critique is an essential tool for learning about theory and method in the study of religion. Leading experts engage with contemporary and classical theories as well as nonwestern sch

This book concisely addresses the classical results of the field, emphasizes the beauty, power, and counterintuitive nature of the subject, and moves the notion of power series front and center, givin