Classical Recursion Theory

Recursion and self-embedding are at the heart of our ability to formulate our thoughts, articulate our imagination and share with other human beings. Nonetheless, controversy exists over the extent to which recursion is shared across all domains of syntax. A collection of 18 studies are presented here on the central linguistic property of recursion, examining a range of constructions in over a dozen languages representing great areal, typological and genetic diversity and spanning wide latitudes. The volume expands the topic to include prepositional phrases, possessives, adjectives, and relative clauses - our many vehicles to express creative thought - to provide a critical perspective on claims about how recursion connects to broader aspects of the mind. Parallel explorations across language families, literate and non-literate societies, children and adults are investigated and constitutes a new step in the generative tradition by simultaneously focusing on formal theory, acquisition

The book consists of two parts: Part 1 is a standard text of dislocation theory. Mathematics is avoided as much as possible. Part 2 describes application of dislocation theory, which includes mechanic

The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical ph

Professor Pechter's book attempts to describe the consistent structure, of both style and method, within which Dryden examines, orders and evaluates literary experience. This mode permits Dryden to recognise the real differences between French and English drama, Virgilian and Ovidian style, judgement and fancy (to take some of the more familiar from among Dryden's typical conjunctive pairs), without either merging their differences into some grand synthesis or transforming them into mutually exclusive antitheses. Dryden's is above all a comprehensive theory of literature which aims at responding to a broad range of various literary styles, genres, faculties and effects. Dryden's balance is classical, the poise of the golden mean, and Professor Pechter endeavours to give fresh life to 'classical' as an epithet often previously applied to Dryden. Ranging among writers in ancient Greece and Rome and among Dryden's contemporaries in England and France, the author outlines a rich literary t

This textbook describes in detail the classical theory of dynamics, a subject fundamental to the physical sciences, which has a large number of important applications. The author's aim is to describe the essential content of the theory, the general way in which it is used, and the basic concepts that are involved. No deep understanding can be obtained simply by examining theoretical considerations, so Dr Griffiths has included throughout many examples and exercises. This then is an ideal textbook for an undergraduate course for physicists or mathematicians who are familiar with vector analysis.

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

Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theor

The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will

Classical and Modern Social Theory is comprehensive introduction to the field, covering a wide historical range of thinkers, from the classical to the postmodernist, as well as key themes in social th

Classical and Modern Social Theory is comprehensive introduction to the field, covering a wide historical range of thinkers, from the classical to the postmodernist, as well as key themes in social th

Over the years, many textbooks have been written about the troika of sociological geniuses, Marx, Durkheim, and Weber. Too often, however, these works have been mere distillations of the views of the

The fourth edition contains seven new sections with chapters on General Relativity, Gravitational Waves and Relativistic Cosmology. The text has been thoroughly revised and additional problems insert

The third volume in Leonard Susskind's one-of-a-kind physics series cracks open Einstein's special relativity and field theory In the first two books in his wildly popular The Theoretical Minimum seri

This book radically re-examines Europe’s imaginaries of its origin in the ancient Greek world. Extracting central concepts of critical theory in its widest sense - beyond the Frankfurt School - like t

The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical ph

The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight ne

This book provides an introduction to Galois theory and focuses on one central theme - the solvability of polynomials by radicals. Both classical and modern approaches to the subject are described in

This set contains the two authoritative textbooks Contemporary Sociological Theory, 3rd Edition and Classical Sociological Theory, 3rd Edition.The third edition of Contemporary Sociological Theory is

In Key Concepts in Classical Social Theory individual entries introduce, explain and contextualize the key topics within classical social theory. Definitions, summaries and key words are developed th

In Key Concepts in Classical Social Theory individual entries introduce, explain and contextualize the key topics within classical social theory. Definitions, summaries and key words are developed th

* Offers a rigorous mathematical treatment of mechanics as a text or reference* Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Eart

This authoritative and reader-friendly anthology will help you think through some of humanity's most persistent questions regarding right and wrong, good and bad. ETHICAL THEORY: CLASSICAL AND CONTEMP

This volume explores the theory, historical practice, and future of the traditional commentary on classical texts. Special topics include the relationship between texts, commentators and readers; cita

This accessible, original book is an exploration of the relevance of classical social theory in the contemporary world. It examines the work of Marx, Weber and Durkheim through the lens of new theoret

This accessible, original book is an exploration of the relevance of classical social theory in the contemporary world. It examines the work of Marx, Weber and Durkheim through the lens of new theoret

In An Introduction to Classical Econometric Theory Paul A. Ruud shows the practical value of an intuitive approach to econometrics. Students learn not only why but how things work. Through geometry, s

An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician.

The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old the

This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, wher

This book presents and applies a framework for studying the complexity of algorithms. It is aimed at logicians, computer scientists, mathematicians and philosophers interested in the theory of computation and its foundations, and it is written at a level suitable for non-specialists. Part I provides an accessible introduction to abstract recursion theory and its connection with computability and complexity. This part is suitable for use as a textbook for an advanced undergraduate or graduate course: all the necessary elementary facts from logic, recursion theory, arithmetic and algebra are included. Part II develops and applies an extension of the homomorphism method due jointly to the author and Lou van den Dries for deriving lower complexity bounds for problems in number theory and algebra which (provably or plausibly) restrict all elementary algorithms from specified primitives. The book includes over 250 problems, from simple checks of the reader's understanding, to current open pr

This book is a complete account of the predicate transformation calculus semantics of sequential programs, including repetitions, recursive procedures, computational induction and unbounded nondeterminacy. Predicate transformation semantics are the best specification method for the development of correct and well-structured computer programs. The author develops this theory to a greater depth than has been achieved before, and describes it in a way that makes it readily compatible with programming rules for partial and total correctness of repetitions and recursive procedures, supplies new rules for proving incorrectness, and a stronger rule for proving that two programs satisfy the same specifications. Finally, the semantics are extended so that non-terminating programs can be specified as well. This will be essential reading for all computer scientists working in specification and verification of programs.