Classical Recursion Theory

This engaging, readable yet impeccably scholarly investigation of monsters in Classical literature will entertain and stimulate as well as inform. It covers all the major mythical monsters mentioned b

Classical Modern Philosophy introduces students to the key philosophers of the seventeenth and eighteenth centuries, and explores their most important works. Jeffrey Tlumak takes the reader on a chron

Roots of the Classical identifies and traces to their source the patterns that make Western classical music unique, setting out the fundamental laws of melody and harmony, and sketching the developmen

Beginning with a sustained analysis of Seneca's theory of monarchy in the treatise De clementia, in this text Peter Stacey traces the formative impact of ancient Roman political philosophy upon medieval and Renaissance thinking about princely government on the Italian peninsula from the time of Frederick II to the early modern period. Roman Monarchy and the Renaissance Prince offers a systematic reconstruction of the pre-humanist and humanist history of the genre of political reflection known as the mirror-for-princes tradition - a tradition which, as Stacey shows, is indebted to Seneca's speculum above all other classical accounts of the virtuous prince - and culminates with a comprehensive and controversial reading of the greatest work of renaissance political theory, Machiavelli's The Prince. Peter Stacey brings to light a story which has been lost from view in recent accounts of the Renaissance debt to classical antiquity, providing a radically revisionist account of the history of

The study of vibration in physical systems is central to almost all fields in physics and engineering. This work, originally published in two volumes, examines the classical aspects in Part I and the quantum oscillator in Part II. The classical linear vibrator is treated first and the underlying unity of all linear oscillations in electrical, mechanical and acoustic systems is emphasized. The treatment of nonlinear vibrations, a field with which engineers and physicists are generally less familiar, is then examined. Part II then concentrates on quantum systems, looking at the vibrations in atoms and molecules and their interaction with electromagnetic radiation. The similarities of classical and quantum methods are stressed and the limits of the classical treatment are examined. Throughout the book, each phenomenon discussed is well illustrated with many examples; and theory and experiment are compared. This is a useful introduction to the more advanced mathematical treatment of vibrat

The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probabili

Offers over forty-five monologues for men drawn from classical plays throughout the ages and ranging across all of Western theater.

Geared toward performers and students wishing to expand their knowledge of the classical repertoire, this newly engraved collection features famous and popular works. Special arrangements include piec

In its expanded and improved 3rd edition, this work describes the fundamental principles, problems, and methods of classical mechanics. The authors stress the working apparatus of classical mechanics,

This anthology presents a selection of works that illustrates the traffic between British poetry and classical literature. * Gives readers the classical background they need in order to really app

This book, first published in 2000, is a full-length study of the representation of deceit and lies in classical Athens. Dr Hesk traces the ways in which Athenian drama, democratic oratory and elite prose-writing construct and theorize a relationship between dishonesty and civic identity. He focuses on the ideology of military trickery, notions of the 'noble lie' and the developing associations of rhetorical language with deceptive communication. Deception and Democracy in Classical Athens combines close analysis of Athenian texts with lively critiques of modern theorists and classical scholars. Athenian democratic culture was crucially informed by a nuanced, anxious and dynamic discourse on the problems and opportunities which deception presented for its citizenry. Mobilizing comparisons with twentieth-century democracies, the author argues that Athenian literature made deception a fundamental concern for democratic citizenship. This ancient discourse on lying highlights the dangers o

The Challenge of Human Rights traces the history of human rights theory from classical antiquity through the enlightenment to the modern human rights movement, and analyses the significance of human r

The Challenge of Human Rights traces the history of human rights theory from classical antiquity through the enlightenment to the modern human rights movement, and analyses the significance of human r

“The most extensive scholarship to appear on this Greek dramatist in many years, Michelini’s work will be important to specialists and students of classical literature, literary theory, and both Engli

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

Free Probability Theory studies a special class of 'noncommutative'random variables, which appear in the context of operators on Hilbert spaces and in one of the large random matrices. Since its emergence in the 1980s, free probability has evolved into an established field of mathematics with strong connections to other mathematical areas, such as operator algebras, classical probability theory, random matrices, combinatorics, representation theory of symmetric groups. Free probability also connects to more applied scientific fields, such as wireless communication in electrical engineering. This 2006 book gives a self-contained and comprehensive introduction to free probability theory which has its main focus on the combinatorial aspects. The volume is designed so that it can be used as a text for an introductory course (on an advanced undergraduate or beginning graduate level), and is also well-suited for the individual study of free probability.

In this previously unpublished work, a young Marshall McLuhan, as cultural historian, illuminates the com- plexities of the classical trivium, provides the first ever close reading of the enigmatic El

Every era has invented a different idea of the 'classical' to create its own identity. Thus the 'classical' does not concern only the past: it is also concerned with the present and a vision of the fu

Every era has invented a different idea of the 'classical' to create its own identity. Thus the 'classical' does not concern only the past: it is also concerned with the present and a vision of the fu

This is a graduate level textbook on measure theory and probability theory. It presents the main concepts and results in measure theory and probability theory in a simple and easy-to-understand way. I

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

While Karnatic music, a form of Indian music based on the melodic principle of raga and time cycles called tala, is known today as South India’s classical music, its status as “classical” is an early-

Classical Chinese: Selections from Philosophical Texts continues the rigorous standard set forth in the main, three-volume Classical Chinese: A Basic Reader. Organized into four sections, this supplem

Quantum cryptography (or quantum key distribution) is a state-of-the-art technique that exploits properties of quantum mechanics to guarantee the secure exchange of secret keys. This 2006 text introduces the principles and techniques of quantum cryptography, setting it in the wider context of cryptography and security, with specific focus on secret-key distillation. The book starts with an overview chapter, progressing to classical cryptography, information theory (classical and quantum), and applications of quantum cryptography. The discussion moves to secret-key distillation, privacy amplification and reconciliation techniques, concluding with the security principles of quantum cryptography. The author explains the physical implementation and security of these systems, enabling engineers to gauge the suitability of quantum cryptography for securing transmission in their particular application. With its blend of fundamental theory, implementation techniques, and details of recent prot

In this book, Professor Thomson and Professor Lensberg extrapolate upon the Nash (1950) treatment of the bargaining problem to consider the situation where the number of bargainers may vary. The authors formulate axioms to specify how solutions should respond to such changes, and provide new characterizations of all the major solutions as well as generalizations of these solutions. The book also contains several other comparative studies of solutions in the context of a variable number of agents. Much of the theory of bargaining can be rewritten within this context. The pre-eminence of the three solutions at the core of the classical theory is confirmed. These are the solutions introducted by Nash (1950) and two solutions axiomatized in the 1970s (Kalai-Smorodinsky and egalitarian solutions).

This book is devoted to the theory of coupled electro-magneto-thermo-elastic fields excited in different bodies by various sources, both static and dynamic. It presents the classical piezoelectric and

This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

In this revised edition of THE CREATIVE DREAMER, psychologist Veronica Tonay blends classical dream theory with a fascinating analysis of universal themes, trends, and elements of dreams that can insp

This is the first English translation of one of the classical works of Marxist economic theory. When Rudolf Hilferding’s Finance Capital was first published in 1919 it was acclaimed by reviewers as a

This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. It contains an introduction to classical graphs. Basic and ad

General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminat

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.

In this novel introduction to modern microeconomic theory, Samuel Bowles returns to the classical economists' interest in the wealth and poverty of nations and people, the workings of the institutions

(Music Sales America). A very special selection of popular and much-loved classical melodies by some of the greatest composers of all time, all arranged for the classical guitar. Autumn (The Four Sea

This volume mounts a full-blown attack on the standard neo-classical theory of economic growth, which Richard Nelson sees as hopelessly inadequate to explain the phenomenon of economic growth. He pres

This text describes novel treatments of quantum problems using enhanced quantization procedures. When treated conventionally, certain systems yield trivial and unacceptable results. This book describes enhanced procedures, generally involving extended correspondence rules for the association of a classical and a quantum theory, which, when applied to such systems, yield nontrivial and acceptable results. The text begins with a review of classical mechanics, Hilbert space, quantum mechanics, and scalar quantum field theory. Next, analytical skills are further developed, a special class of models is studied, and a discussion of continuous and discontinuous perturbations is presented. Later chapters cover two further classes of models both of which entail discontinuous perturbations. The final chapter offers a brief summary, concluding with a conjecture regarding interacting covariant scalar quantum field theories. Symmetry is repeatedly used as a tool to help develop solutions for simple

(Willis). Seven short pieces encompassing the different rhythmic styles of the four main classical periods. Includes a harpsichord sonata from the baroque era, a sonatina in the classical style, a rom

The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy–Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy–Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang–Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.

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.

This book describes the statistical mechanics of classical spin systems with quenched disorder. The first part of the book covers the physics of spin-glass states using results obtained within the framework of the mean field theory of spin glasses. The technique of replica symmetry breaking is explained in detail, along with a discussion of the underlying physics. The second part is devoted to the theory of critical phenomena in the presence of weak quenched disorder. This includes a systematic derivation of the traditional renormalization group theory, which is then used to obtain a new 'random' critical regime in disordered vector ferromagnets and in the two-dimensional Ising model. The third part of the book describes other types of disordered systems, relating to new results at the frontiers of modern research. The book is suitable for graduate students and researchers in the field of statistical mechanics of disordered systems.