Classical Recursion Theory

This book offers a self-contained exposition of classical Galois theory and its applications to of solvability of algebraic equations, connects the theory with classification of coverings over a topol

Culture changes historically, and along with it, reflexive disciplinary representations. Without fully abandoning Sociology, especially the classical tradition, and instead aligning it with its own re

Applicable for both qualitative and quantitative researchers who work within a critical theory paradigm, Dialectical Research Methods in the Classical Marxist Tradition utilizes Marxist principles in

"Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as ma

This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further t

Vaisesika is one of the six systems of Hindu philosophy. It represents a pluralistic realism and is usually held to be an atomistic, metaphysical theory. This book explores the basic tenets of the Vai

This book reclaims logic as a branch of philosophy, offering a self-contained and complete introduction to the three traditional systems of classical logic (term, sentence, and predicate logic) and th

?This book is for students and researchers who have had a first year graduate level mathematical statistics course. It covers classical likelihood, Bayesian, and permutation inference; an introductio

This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a d

Illuminating key themes of classical sociological texts, this book shows how the ideas of Marx, Durkheim or Weber can be explored by listening to music, reading about celebrities, or watching award-wi

Illuminating key themes of classical sociological texts, this book shows how the ideas of Marx, Durkheim or Weber can be explored by listening to music, reading about celebrities, or watching award-wi

From classical foundations to advanced modern theory, this self-contained and comprehensive guide to probability weaves together mathematical proofs, historical context and richly detailed illustrative applications. A theorem discovery approach is used throughout, setting each proof within its historical setting and is accompanied by a consistent emphasis on elementary methods of proof. Each topic is presented in a modular framework, combining fundamental concepts with worked examples, problems and digressions which, although mathematically rigorous, require no specialised or advanced mathematical background. Augmenting this core material are over 80 richly embellished practical applications of probability theory, drawn from a broad spectrum of areas both classical and modern, each tailor-made to illustrate the magnificent scope of the formal results. Providing a solid grounding in practical probability, without sacrificing mathematical rigour or historical richness, this insightful bo

In this book we display the fundamental structure underlying classical electro- dynamics, i. e. , the phenomenological theory of electric and magnetic effects. The book can be used as a textbook for a

Tarasti (musicology, U. of Helsinki, Finland) presents the theory or philosophy of existential semiotics that he has been developing in previous books for the past 15 years. After years under the infl

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly

In everyday life we must often reach decisions while knowing that the outcome will not only depend on our own choice, but also on the choices of others. These situations are the focus of epistemic game theory. Unlike classical game theory, it explores how people may reason about their opponents before they make their final choice in a game. Packed with examples and practical problems based on stories from everyday life, this is the first textbook to explain the principles of epistemic game theory. Each chapter is dedicated to one particular, natural way of reasoning. The book then shows how each of these ways of reasoning will affect the final choices that can rationally be made and how these choices can be found by iterative procedures. Moreover, it does so in a way that uses elementary mathematics and does not presuppose any previous knowledge of game theory.

In everyday life we must often reach decisions while knowing that the outcome will not only depend on our own choice, but also on the choices of others. These situations are the focus of epistemic game theory. Unlike classical game theory, it explores how people may reason about their opponents before they make their final choice in a game. Packed with examples and practical problems based on stories from everyday life, this is the first textbook to explain the principles of epistemic game theory. Each chapter is dedicated to one particular, natural way of reasoning. The book then shows how each of these ways of reasoning will affect the final choices that can rationally be made and how these choices can be found by iterative procedures. Moreover, it does so in a way that uses elementary mathematics and does not presuppose any previous knowledge of game theory.

Australian Constitutional Law: Foundations and Theory, 3e explains and evaluates the Australian constitutional system in relation to the classical principles of constitutional government such as the r

How did the study of sociology develop? History and Theory focuses on the development of sociological theorists' ideas about society and social research over time. Ideas of major classical theorists s

This book traces the image of the pregnant male in Greek literature as it evolved over the course of the classical period. The image - as deployed in myth and in metaphor - originated as a representation of paternity and, by extension, 'authorship' of ideas, works of art, legislation, and the like. Only later, with its reception in philosophy in the early fourth century, did it also become a way to figure and negotiate the boundary between the sexes. The book considers a number of important moments in the evolution of the image: the masculinist embryological theory of Anaxagoras of Clazomenae and other fifth century pre-Socratics; literary representations of the birth of Dionysus; the origin and functions of pregnancy as a metaphor in tragedy, comedy and works of some Sophists; and finally the redeployment of some of these myths and metaphors in Aristophanes' Assemblywomen and in Plato's Symposium and Theaetetus.

This book provides a classical physics-based explanation of quantum physics, including a full description of photon creation and annihilation, and successful working models of both photons and electro

Oaths were ubiquitous rituals in ancient Athenian legal, commercial, civic and international spheres. Their importance is reflected by the fact that much of surviving Greek drama features a formal oath sworn before the audience. This is the first comprehensive study of that phenomenon. The book explores how the oath can mark or structure a dramatic plot, at times compelling characters like Euripides' Hippolytus to act contrary to their best interests. It demonstrates how dramatic oaths resonate with oath rituals familiar to the Athenian audiences. Aristophanes' Lysistrata and her accomplices, for example, swear an oath that blends protocols of international treaties with priestesses' vows of sexual abstinence. By employing the principles of speech act theory, this book examines how the performative power of the dramatic oath can mirror the status quo, but also disturb categories of gender, social status and civic identity in ways that redistribute and confound social authority.

The consequences of the existence of a thermal equation of state, the eighteenth century doctrine of latent and specific heats, and Carnot's general axiom are developed here completely and rigorously.

Game theory explains how to make good choices when different decision makers have conflicting interests. The classical approach assumes that decision makers are committed to making the best choices for themselves regardless of the effect on others, but such an approach is less appropriate when cooperation, compromise and negotiation are important. This book describes conditional games, a form of game theory that accommodates multiple stakeholder decision-making scenarios where cooperation and negotiation are significant issues and where notions of concordant group behavior are important. Using classical binary preference relations as a point of departure, the book extends the concept of a preference ordering that permits stakeholders to modulate their preferences as functions of the preferences of others. As these conditional preferences propagate through a group of decision makers, they create social bonds that lead to notions of group concordance. This book is intended for all studen

During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena i

This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set t

Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange’s reformulation of classical mechanic

This book examines a variety of psychological disorders from the perspective of the psychology of learning. Grounded in the study of classical and instrumental conditioning, learning theory provides a

Discover a fresh take on classical screw theory and understand the geometry embedded within robots and mechanisms with this essential text. The book begins with a geometrical study of points, lines, and planes and slowly takes the reader toward a mastery of screw theory with some cutting-edge results, all while using only basic linear algebra and ordinary vectors. It features a discussion of the geometry of parallel and serial robot manipulators, in addition to the reciprocity of screws and a singularity study. All 41 essential screw systems are unveiled, establishing the possible freedom twists and constraint wrenches for a kinematic joint. Familiarizing the reader with screw geometry in order to study the statics and kinematics of robots and mechanisms, this is a perfect resource for engineers and graduate students.

Resolution Proof Systems: An Algebraic Theory presents a new algebraic framework for the design and analysis of resolution- based automated reasoning systems for a range of non-classical logics. It

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has

In this book the theory of social production is systematically formulated in terms and concepts of classical political economy and neo-classical economics. In this way the subject becomes accessible n

Classical statistical theory—hypothesis testing, estimation, and the design of experiments and sample surveys—is mainly the creation of two men: Ronald A. Fisher (1890-1962) and Jerzy Neyman (1894-198

In Goodness and Justice, Joseph Mendola develops a unified moral theory that defends the hedonism of classical utilitarianism, while evading utilitarianism's familiar difficulties by adopting two modifications. His theory incorporates a developed form of consequentialism. When, as is common, someone is engaged in conflicting group acts, it requires that one perform one's role in that group act that is most beneficent. The theory also holds that overall value is distribution-sensitive, ceding maximum weight to the well-being of the worst-off sections of sentient lives. It is properly congruent with commonsense intuition and required by the true metaphysics of value, by the unconstituted natural good found in our world.

Performance and Identity in the Classical World traces attitudes towards actors in Greek and Roman culture as a means of understanding ancient conceptions of, and anxieties about, the self. Actors were often viewed as frauds and impostors, capable of deliberately fabricating their identities. Conversely, they were sometimes viewed as possessed by the characters that they played, or as merely playing themselves onstage. Numerous sources reveal an uneasy fascination with actors and acting, from the writings of elite intellectuals (philosophers, orators, biographers, historians) to the abundant theatrical anecdotes that can be read as a body of 'popular performance theory'. This text examines these sources, along with dramatic texts and addresses the issue of impersonation, from the late fifth century BCE to the early Roman Empire.

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.

The events of the last decade have challenged the contemporary neo-classical synthesis in all branches of economics, but particularly public finance. The most notable feature of the 2nd edition of Pub