Classical Recursion Theory

This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems

Spanning a variety of disciplines, this 1995 enquiry focuses on one particular Pauline characteristic: the apostle's habit of making matters of faith the object of logical appraisal. A tracing of the elliptical patterns of argument in Romans 1-8 illustrates this habit and, at the same time, displays how Paul's vigorous persistence in it seems often not to be matched by the solidity, or at any rate the lucidity, of his logic. By viewing Paul against the background of semiology, more especially the semiological theory of Umberto Eco, new light is shed on the genesis of Paul's reasoning. The discussion which ensues is marked by an interesting and productive combination of modern linguistics and classical logic. Moreover, the singular potential of today's techniques of 'fuzzy' logical analysis for measuring the intellectual muscle of Paul's argumentation is brought out dramatically by the uniqueness of his semiological situation. His rationality takes on a new face.

This unique book develops the classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, in rather a novel way to provide a unifying framework in which they can be studied. The author focuses on factorisation properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate non-trivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach is suitable for a non-specialist audience. Even in the later chapters, where the factorisation principles are applied to geometrical processes, the prerequisites are only standard courses on probability and analysis. The main ideas presented here have application to such areas as stereology and tomography, geometrical statistics, pattern and texture analysis. This book will b

This commentary fulfils the need for a student edition of Horace's literary epistles, which have recently been the subject of renewed scholarly interest. Professor Rudd provides a clear introduction to each of the three poems: the Epistles to Augustus, to Florus, and to the Pisones (the so-called 'Ars Poetica'). He sketches the historical context in which the poems were written, and comments on their structure and purpose. Attention is paid to the literary preoccupations of the individual epistles: the relations of poet and patron, and the role of poetry in the state (Augustus), the problems of a (professedly) tiring poet (Florus), and the presentation of classical poetic theory in the 'Ars Poetica'. Horace's influence on later criticism is noted, and there is a brief section on one of Alexander Pope's Imitations. In his commentary on the text Professor Rudd addresses problems of grammar and style, focusing on linguistic difficulties and on the subtle movement of the poet's thought.

本書打破傳統文學邊界，運用比較文學與視覺文化詮釋，精準探討莎士比亞、谷崎潤一郎、吳爾芙、王實甫及李漁等經典大師作品的跨文化對話，對東亞文學跨國傳播及 pedogogical 潛力有極高學術參考價值。This latest volume, SINO-JAPANESE LITERATURE IN PERSPECTIVE: A Short Communication to the World Literature (Eliva Press, 2026) tested the geographical boundaries of literary encounters. It is formative for the pedagogical potential of William Shakespeare, Tanizaki Jun'ichirō, Virginia Woolf, Wang Shifu, and Li Yu. Drawing on comparative literary analysis and visual-cultural interpretation, this volume explores how classical traditions, modern transformations, and cross-cultural dialogues have shaped the formation of Sino-Japanese literary discourse. This work will be of interest to scholars and students of Comparative Literature, East Asian Studies, Cultural History, and Transnational Literary Theory.

Although general equilibrium theory originated in the late 19th century, modern elaboration and development of the theory began in the 1930s and 1940s. This book focuses on the version of the theory d

This book revives and reinterprets a persistent intuition running through much of the classical work: that the unitary appearance of Obligatory Control into complements conceals an underlying duality

This book revives and reinterprets a persistent intuition running through much of the classical work: that the unitary appearance of Obligatory Control into complements conceals an underlying duality

What are the aims of sociology? What are its objects of study? How relevant is the classical tradition to the practice of sociology today? This volume brings together internationally renowned and new

Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the bas

Series: Routledge Library Editions: JapanTaking the novel position of dealing with law, classical rhetoric and feminism concurrently, this book employs Aristotle's terminology to analyze economic and

In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of

The central theme of the book is the fusion of two classical theories that were extensively developed in the course of the twentieth century, namely the Hamilton–Jacobi theory of separation of variabl

In Game Theory and the Social Contract, Ken Binmore argues that game theory provides a systematic tool for investigating ethical matters. His reinterpretation of classical social contract ideas withi

Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particu

This book is an elementary introduction to non-classical spectral theory. Mter the basic definitions and a reduction to the study of the functional model the discussion will be centered around the sim

Argues for the contemporary importance of Thucydides and Plato for both democratic political theory and democratic citizens.

A collection of interviews with 11 of the nation's leading economic theorists providing an introduction to current issues in economic theory and to the ways in which economists think.

Challenging the ‘classical’ conception of Goffman’s sociology, this book offers a new interpretation based on a comprehensive examination of previous interpretations and critical assessments of Goffma

"This very informative book introduces classical and novel statistical methods that can be used by theoretical and applied biostatisticians to develop efficient solutions for real-world problems encou

Religion, Theory, Critique is an essential tool for learning about theory and method in the study of religion. Leading experts engage with contemporary and classical theories as well as nonwestern sch

Soft Currency Economics is the little book that could logically, in both real and nominal terms, legitimately challenge many of the core held beliefs of the mainstream classical and neo-classical scho

The book offers a counter-model to the classical liberal theories of civil disobedience, as developed by authors such as John Rawls and Ronald Dworkin. Based on a strict opposition between liberalism

Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.

Stephen Neale provides the first sustained defense and extension of Bertrand Russell's classical theory of descriptions, placing it in the center of a theory of singular and nonsingular descriptive p

Provides a foundation for probability based on game theory rather than measure theory.A strong philosophical approach with practical applications.Presents in-depth coverage of classical probability th

This book systematically reconstructs the origins and new advances in economic sociology. By presenting both classical and contemporary theory and research, the volume identifies and describes the con

In this book, Tim Whitmarsh offers an innovative new introduction to ancient Greek literature. The volume integrates cutting-edge cultural theory with the latest research in classical scholarship, pro

Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry. The papers in this volume reflect the recent developments in the areas of:

古典詩詞是中國傳統文化的代表，本書從語言學角度，從古典詩詞愛好者讀詩寫詩的需求出發，系統全面地闡述了與古代詩詞相關的古漢語知識。首先總述詩詞發展的體式，然後通過“語音篇”“格律篇”“章法篇”“語法修辭篇”“詞匯篇”五部分分別講述與古詩詞相關的音韻學常識、古詩詞的韻律與語言特點、古典詩詞的章法技巧、古詩詞主要運用的修辭格等語法手段、古詩詞中常見的特殊白話實詞和白話虛詞以及文字通假。

From Newton to Einstein is a book devoted to classical mechanics. "Classical" here includes the theory of special relativity as well because, as argued in the book, it is essentially Newtonian mechani

The book focuses classical oligopoly theory as developed in 1840-1940. By the end of this period oligopoly came under the spell of game theory in its probabilistic equilibrium format. Work by Cournot,

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the

Mieszkowski (German, Reed College, Oregon) analyzes the relationship between aesthetics and classical political economy, and the significance of that relationship for contemporary cultural theory. Les

Teaches the skills you need to do physics yourself. This title introduces all the key concepts, from classical mechanics to general relativity to quantum theory.

A Unified Approach to Economic TheoryDemonstrating a balanced treatment of both classical and Keynesian economics, Macroecomomics presents macroeconomic theory in a big-picture way. Comprehensive cove

Your ideal review for your differential equations courses—now with free online videos!Schaum's Outline of Differential Equations outlines classical differential equation theory and supplies numerous

"Power Electronics and Energy Conversion Systems" is a definitive five-volume reference spanning classical theory through practical applications and consolidating the latest advancements in energy con

This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern meth