Classical Recursion Theory

Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate stude

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.

This grammar introduces undergraduate and graduate students to the essentials of classical Hebrew. The user will gain particular skills in reading both the entire Hebrew Bible and the later sixth-cent

"The Dictionary of American Classical Composers" covers over 650 composers active from the 18th century to today. Covering all classical styles, it offers the most comprehensive overview of key compos

The well known scholar of classical art, Nigel Spivey (Emmanuel College, Cambridge, UK) and Squire (Trinity College, Cambridge) have written a thematic account of the classical world that provides the

A groundbreaking anthology of classical Chinese translations by giants of Modern American poetry. A rich compendium of translations, The New Directions Anthology of Classical Chinese Poetry is the fi

By complementing the Biblical tradition with the Classical, this volume provides a comprehensive introduction to Western mythology. Engaging and accessible, Biblical and Classical Myths represents a

Featuring authentic keyboard pieces exclusively from the Classical Period, this collection serves as an excellent introduction to classical keyboard literature for late-elementary to early-intermediat

Electrodynamics is a basic area of physics, encompassing also classical and quantum physics, optics, relativity and field theory, and is of universal practical importance. The present text aims at a b

Electrodynamics is a basic area of physics, encompassing also classical and quantum physics, optics, relativity and field theory, and is of universal practical importance. The present text aims at a b

This book provides a self-contained and systematic introduction to classical electron theory and its quantization, non-relativistic quantum electrodynamics. The first half of the book covers the classical theory. It discusses the well-defined Abraham model of extended charges in interaction with the electromagnetic field, and gives a study of the effective dynamics of charges under the condition that, on the scale given by the size of the charge distribution, they are far apart and the applied potentials vary slowly. The second half covers the quantum theory, leading to a coherent presentation of non-relativistic quantum electrodynamics. Topics discussed include non-perturbative properties of the basic Hamiltonian, the structure of resonances, the relaxation to the ground state through emission of photons, the non-perturbative derivation of the g-factor of the electron and the stability of matter.

The Classical Economists Revisited conveys the extent, diversity, and richness of the literature of economics produced in the period extending from David Hume's Essays of 1752 to the final contributio

The principles of classical architecture applied to the design of interiors, both residential and public.

It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement in

Kibble (theoretical physics, Imperial College London) and Berkshire (mathematics, Imperial College) cover fundamentals of classical mechanics in this text for undergraduate students of physics and app

Using the neo-classical theory of production economics as the analytical framework, this book, first published in 2004, provides a unified and easily comprehensible, yet fairly rigorous, exposition of the core literature on data envelopment analysis (DEA) for readers based in different disciplines. The various DEA models are developed as nonparametric alternatives to the econometric models. Apart from the standard fare consisting of the basic input- and output-oriented DEA models formulated by Charnes, Cooper, and Rhodes, and Banker, Charnes, and Cooper, the book covers developments such as the directional distance function, free disposal hull (FDH) analysis, non-radial measures of efficiency, multiplier bounds, mergers and break-up of firms, and measurement of productivity change through the Malmquist total factor productivity index. The chapter on efficiency measurement using market prices provides the critical link between DEA and the neo-classical theory of a competitive firm. The

Originally published as a French edition in 1991, and first translated into English for this Cambridge edition in 2004, in this exhaustive study Christian Bidard develops a theory of prices of production. This theory breaks down the symmetry between producers and consumers and gives more importance to reproduction rather than scarcity. In his analysis of multiple-product systems, Bidard focuses on the notion of an all-engaging system which elucidates the link with von Neumann's theory; examines the notions of sector and vertical integration which make possible an elegant treatment of fixed capital; clarifies the status of the internal rate of return; proposes a general theory of rent. In the discussion of capital theory and marginal equalities or, more specifically, the treatment of exhaustible resources, Bidard compares different readings of Sraffa's work and revisits the question of relationships between classical theory (Smith, Ricardo, Marx) and the general equilibrium theory (Walr

(Piano Solo Songbook). Delightful piano solo arrangements of beloved classical pieces, including: Air on the G String (Bach) * Fur Elise (Beethoven) * Seguidilla from Carmen (Bizet) * Lullaby (Brahm

The most comprehensive study of ideology and utopia since Karl Mannheim's work of the 1930s, Utopia and Revolution can be understood as turning classical political theory on its head or, perhaps, insi

Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of m

An advanced course of classical electrodynamics with application to the generation of high-power coherent radiation in the microwave to optical-wave regions. Specifically, it provides readers with the

At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual p

This is a book for those who want to understand the main ideas in the theory of optimal problems. It provides a good introduction to classical topics (under the heading of "the calculus of variations"

Elementary Classical Greek stresses a clear and orderly presentation of the language, accompanied by individual sentences or short passages that illustrate grammar, give practice in reading, and help

From Scott Tennant---the best-selling author of Pumping Nylon---comes book 2 of this amazing classical guitar method. Book 2 continues where book 1 leaves off by introducing more essential classical g

Now available from Liberty Fund Christianity and Classical Culture is considered one of the great works of scholarship published in the last century. The theme of Christianity and Classical Cultur

(World's Greatest Classical Music). The "classical era" runs roughly from the 1770s into the early decades of the 1800s. This collection features both pieces originally written for p

Do you want to learn to read Classical Tibetan? How to Read Classical Tibetan will show you—at your own pace—all the relationships that make Tibetan easy to read. It is a complete language course buil

Incorporated in this 2003 volume are the first two books in Mukai's series on moduli theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial ingredient in the proof of Fermat's last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation of the classical foundations of invarant theory that, in addition to geometers, would be useful to those studying representation theory. This translation gives an accurate account of Mukai's influential Japanese texts.

The Anthology of Classical Piano Music is paired with the Performance Practices in Classical Piano Music DVD for a comprehensive look at the literature, performing conventions and musical style of the

(Easy Piano Songbook). Keveren's incredible easy piano arrangements of 20 classical favorites from films: Ballade in G Minor, Op. 23 (Chopin) ( The Pianist ) * By the Beautiful Blue Danube (Strauss) (

In Classical Individualism, Tibor R. Machan argues that individualism is far from being dead. Machan identifies, develops and defends what he calls classical individualism - an individualism humanised

This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the so-called metric-free approach. The fundamental structure of classical electrody

For many years, J. Richard Andrews’s Introduction to Classical Nahuatl has been the standard reference work for scholars and students of Nahuatl, the language used by the ancient Aztecs and the Nahua

This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particle

From the emblematic designs of Madame Gres to Isadora Duncan's dance costumes and the avant-garde gowns of Yves Saint Laurent, the Greco-Roman classical tradition of dress has clearly inspired and inf

The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. The author starts by discussing the classical theory of theta functions from the point of view of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). He then shows that in the algebraic approach to this theory, the Fourier–Mukai transform can often be used to simplify the existing proofs or to provide completely new proofs of many important theorems. Graduate students and researchers with strong interest in algebraic geometry will find much of interest in this volume.

The Oxford Grammar of Classical Greek gives clear, concise, and easily understood explanations of all the key points of Classical Greek grammar. With additional features such as a glossary of grammati

Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate

How should I interpret a classical text? However I interpret it, someone else will so do differently, and even the nature of the interpreter's task is a matter of dispute; consensus is not a realistic