Classical Recursion Theory

Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers published on this sub

This advanced undergraduate-level text provides a formulation of the quantum theory in terms of qualitative and imaginative concepts outside classical theory. A broad range of specific applications fo

This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other

This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was

This monograph covers the recent major advances in various areas of set theory. From the reviews:"One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edi

This concisely written book gives an elementary introduction to a classical area of mathematics - approximation theory - in a way that naturally leads to the modern field of wavelets. The ex

This monograph covers the recent major advances in various areas of set theory. From the reviews:"One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edi

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subj

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

This concise text, covers both classical and contemporary social thought. It traces the major schools of thought over the past 150 years as they appear and reappear in different chapters and looks at

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers.

Modular Forms is 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 operators.

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

Two top experts in topology give an account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie

This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators.Part I

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

The limits of one-dimensional theory are strikingly revealed in the schools that the founders of the major sociological traditions established. In this volume Max Weber is presented as the theorist wh

For all that Cicero is often seen as the father of translation theory, his and other Roman comments on translation are often divorced from the complicated environments that produced them. The first bo

This latest book by Elof Carlson (The Unfit) is a first history of classical genetics, the era in which the chromosome theory of heredity was proposed and developed. Highly illustrated and based heavi

This 2005 book is a critical examination of Michel Foucault's relation to ancient Greek thought, in particular his famous analysis of Greek history of sexuality. Wolfgang Detel offers an understanding of Foucault's theories of power and knowledge based on modern analytical theories of science and concepts of power. He offers a complex reading of the texts which Foucault discusses, covering topics such as Aristotle's ethics and theory of sex, Hippocratic dietetics, the earliest treatises on economics, and Plato's theory of love. The result is a philosophically rich and probing critique of Foucault's later writings, and a persuasive account of the relation between ethics, power and knowledge in classical antiquity. His book will have a wide appeal to readers interested in Foucault and in Greek thought and culture.

This 2005 book is a critical examination of Michel Foucault's relation to ancient Greek thought, in particular his famous analysis of Greek history of sexuality. Wolfgang Detel offers an understanding of Foucault's theories of power and knowledge based on modern analytical theories of science and concepts of power. He offers a complex reading of the texts which Foucault discusses, covering topics such as Aristotle's ethics and theory of sex, Hippocratic dietetics, the earliest treatises on economics, and Plato's theory of love. The result is a philosophically rich and probing critique of Foucault's later writings, and a persuasive account of the relation between ethics, power and knowledge in classical antiquity. His book will have a wide appeal to readers interested in Foucault and in Greek thought and culture.

The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKB-method, stationary phase and h-pseudodifferential operators. The applications include results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. No previous specialized knowledge in quantum mechanics or microlocal analysis is assumed, and only general facts about spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry belong to the prerequisites. This book is addressed to researchers and graduate students in mathematical analysis, as well as physicists who are interested in rigorous results. A fairly large fraction can be

Gaskinetic Theory is an introductory text on the molecular theory of gases and on modern transport theory. It is suitable for upper division undergraduates in physics and first year graduate students in aerospace engineering, upper atmospheric science and space research. The first part introduces basic concepts, including the distribution function, classical theory of specific heats, binary collisions, mean free path, and reaction rates. Transport theory is used to express coefficients such as viscosity and heat conductivity in terms of molecular properties. The second part of the book covers advanced transport theory. Generalised transport equations are derived from the Boltzmann equation. The Chapman–Enskog and the Grad methods are discussed to obtain higher order transport equations for low density gases. The aerodynamics of solid bodies is explored and the book concludes with the kinetic description of shock waves.

Polls suggest up to twenty percent of Americans describe their beliefs as 'libertarian', but libertarians are often derided as heartless Social Darwinists or naïve idealists. This illuminating handbook brings together scholars from a range of fields (from law to philosophy to politics to economics) and political perspectives (right, left, and center) to consider how classical liberal principles can help us understand and potentially address a variety of pressing social problems including immigration, climate change, the growth of the prison population, and a host of others. Anyone interested in political theory or practical law and politics will find this book an essential resource for understanding this major strand of American politics.

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.

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.

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.

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.

What makes language beautiful? Arabic Poetics offers an answer to what this pertinent question looked like at the height of the Islamic civilization. In this novel argument, Lara Harb suggests that literary quality depended on the ability of linguistic expression to produce an experience of discovery and wonder in the listener. Analyzing theories of how rhetorical figures, simile, metaphor, and sentence construction are able to achieve this effect of wonder, Harb shows how this aesthetic theory, first articulated at the turn of the eleventh century CE, represented a major paradigm shift from earlier Arabic criticism which based its judgement on criteria of truthfulness and naturalness. In doing so, this study poses a major challenge to the misconception in modern scholarship that Arabic criticism was 'traditionalist' or 'static', exposing an elegant widespread conceptual framework of literary beauty in the post-eleventh-century Islamicate world which is central to poetic criticism, the

What makes language beautiful? Arabic Poetics offers an answer to what this pertinent question looked like at the height of the Islamic civilization. In this novel argument, Lara Harb suggests that literary quality depended on the ability of linguistic expression to produce an experience of discovery and wonder in the listener. Analyzing theories of how rhetorical figures, simile, metaphor, and sentence construction are able to achieve this effect of wonder, Harb shows how this aesthetic theory, first articulated at the turn of the eleventh century CE, represented a major paradigm shift from earlier Arabic criticism which based its judgement on criteria of truthfulness and naturalness. In doing so, this study poses a major challenge to the misconception in modern scholarship that Arabic criticism was 'traditionalist' or 'static', exposing an elegant widespread conceptual framework of literary beauty in the post-eleventh-century Islamicate world which is central to poetic criticism, the

British Islam and English Law presents a novel argument about the nature and place of groups in society. The encounter with Islam has led English law to tread a line between two theoretical models, liberal individualism and multiculturalism, competing for dominance over the law of organised religion. This philosophical rivalry has generated a set of seemingly intractable conflicts between individual and community, religion and state, nation and culture. This book resurrects the long-buried theory of classical pluralism to address and resolve these tensions. Applying this to five understudied institutions that give structure and form to British Islam – banks, charities, schools, elections, clans – it outlines and justifies the reforms that would optimise the relationship between law and religion. Unflinching and unorthodox, this book places law and theory in context, employs innovative methods such as nudge theory and applied history, and provides detailed answers to hard questions abou

British Islam and English Law presents a novel argument about the nature and place of groups in society. The encounter with Islam has led English law to tread a line between two theoretical models, liberal individualism and multiculturalism, competing for dominance over the law of organised religion. This philosophical rivalry has generated a set of seemingly intractable conflicts between individual and community, religion and state, nation and culture. This book resurrects the long-buried theory of classical pluralism to address and resolve these tensions. Applying this to five understudied institutions that give structure and form to British Islam – banks, charities, schools, elections, clans – it outlines and justifies the reforms that would optimise the relationship between law and religion. Unflinching and unorthodox, this book places law and theory in context, employs innovative methods such as nudge theory and applied history, and provides detailed answers to hard questions abou

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

The Blackwell Companion to Major Classical Social Theorists provides a comprehensive review of classical social theory. Containing original essays especially commissioned for this volume, leading expe

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

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).

The principles and methods of analytical mechanics are very efficient for investigating not only mechanics but also in areas such as field theory, plasma physics, and quantum mechanics. This text pres

This text focuses on non-relativistic physics applicable to low-energy situations. Taking a problem-oriented approach, the author develops the theory with the goal of enabling students to formulate an