Classical Recursion Theory

1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, α-recursion, and E-recursion. This text is essential reading for all researchers in the field.

Lectures on Electromagnetic Theory provides a concise, self-contained introduction to graduate-level electromagnetic theory, organized for a one-semester course. Written in a "theoretical minimum" style, the text emphasizes clear physical insight and mathematical precision. The five chapters cover Maxwell equations and fundamental theorems; wave propagation, plane-wave expansion, and guided waves; electromagnetic radiation and Green functions; analytical scattering theory for canonical targets; and an introduction to relativistic electrodynamics linking classical electrodynamics with special relativity. The book serves both beginning graduate students and researchers seeking a compact reference.

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continu

This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the ide

The English edition of Liu Lihong’s milestone work is a sublime beacon for the profession of Chinese medicine in the 21st century. Classical Chinese Medicine delivers a straightforward critique of the

In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss mean-variance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including VAR, coherence, market efficiency, rationality and the modelling of actuarial liabilities. Each topic is clearly explained with assumptions, mathematics, limitations, problems and solutions presented in turn. Joshi's trademark style of clarity and practicality is here brought to classical financial mathematics. The book is suitable for mathematically trained students in actuarial studies, business and economics as well as mathematics and finance, and it can be used for both self-study and as a course text. The authors' experience as both academics and practitioners brings clarity and relevance to the book, whilst ensuring that the limitations of models are highlighted.

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups.This text a

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Lecture Notes in Logic series, Shoenfield gives a clear and focused introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. This introduction is an ideal instrument for teaching and self-study that prepares the reader for the study of advanced monographs and the current literature on recursion theory.

Computability Theory: An Introduction to Recursion Theory, provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic c

The Classical Music Sound Book series introduces the youngest music lovers to famous composers with whimsical illustrations and 6 magical sound buttons to experience the joy of their music Babies and

The story of Classical Music in picture, word and sound, from Hildegard of Bingen to Saariaho. Introduces the greatest composers and lets readers hear their most famous works as they read. Shows the instruments and how they are played and combined to make music.Presents a selection of the most well-known operas, symphonies, ballets and concertos. AGES: 8 plus AUTHOR: Richard Bratby is deputy music critic at The Birmingham Post and writes regularly for Gramophone and The Spectator. He is passionate about communicating the joy of classical music to audiences of all ages.Nik Neves is a Brazilian illustrator and graphic artist whose work is widely published in editorial and advertising. SELLING POINTS: . Compelling text is full of fun facts and snippets of information on the life and times of great musicians .Features an app with 100 short audio clips and 90 minutes of listening time . Listen to the music as you read . Includes a good selection of women composers & musicians .The perfe

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

The Music Theory for Young Musicians series is a colorful and imaginative set of books that covers all aspects of the ABRSM theory syllabus for Grades 1--5. With one book per grade, assigning theory l

Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probabi

(World's Greatest Classical Music). This collection in The World's Great Classical Music series features 60 excerpts from 46 symphonies by a dozen beloved composers, faithfully transcribed for easy to

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.

Chong and Yu introduce recursion theory focusing on the computational aspects of the set of reals and its subsets. They cover fundamental theory, the story of Turing degrees, hyper-arithmetic degrees

In ancient times, scholars such as Confucius and Aristotle expounded on the virtue of the “middle way” or “intermediate,” an ideal point of moderation or balance between the extremes of human behavior. Adam Smith, widely considered the father of modern economics as we know it, also encouraged propriety in his first work, The Theory of Moral Sentiments. Since then, different schools of economics have continued to incorporate the idea of propriety into their theories, for example in such concepts as equilibrium and bounded rationality, though few economists have defined it explicitly. In light of growing uncertainty and polarization around the world, propriety economics offers alternative solutions for markets, governments, and everyday citizens.This book embarks on a thorough review of Eastern and Western philosophies of propriety over the past 2,500 years, followed by an investigation of the ideas of propriety found in five key schools of economics: classical, neoclassical, institution

The first exhaustive English-language history and analysis of the Chinese opera genre, Kunqu. In Kunqu: A Classical Opera of Twenty-First-Century China, Joseph S. C. Lam offers a holistic and interdisciplinary view of Kunqu, a 600-year-old genre of Chinese opera that has been fashionably performed inside and outside of China. The first comprehensive and scholarly book on Kunqu written in English, this book explains how and why the genre charms and signifies Chinese culture, history, and personhood. Approaching the genre from several perspectives, ranging from those of performers and producers to those of casual audiences, dedicated connoisseurs, and scholarly critics, Lam also employs a judicious blend of Chinese and international theories and methods. Herein, he establishes the significance of Kunqu not only in the sphere of Chinese music but among the cultural heritage and performing arts at a global level as well.

Drawing on Chinese cultural and philosophical traditions, this book offers a ground breaking reinterpretation of world politics from Yaqing Qin, one of China's leading scholars of international relations. Qin has pioneered the study of constructivism in China and developed a variant of this approach, arguing that culture defined in terms of background knowledge nurtures social theory and enables theoretical innovation. Building upon this argument, this book presents the concept of 'relationality', shifting the focus from individual actors to the relations amongst actors. This ontology of relations examines the unfolding processes whereby relations create the identities of actors and provide motivations for their actions. Appealing to scholars of international relations theory, social theory and Chinese political thought, this exciting new concept will be of particular interest to those who are seeking to bridge Eastern and Western approaches for a truly global international relations p

Written to provide clinicians, educators, researchers, and students in rehabilitation with a comprehensive overview of the theory, practice, and evidence base of goal setting, this first-of-its-kind r

Updated to include the Black Lives Matter movement, the presidency of Barack Obama, the rise of hate speech on the Internet, and more.Since the publication of the first edition of Critical Race Theory

Classic Grounded Theory: Applications with Qualitative and Quantitative Data is unique in its presentation of classic grounded theory, from its historical origins to step-by-step guidance on how to ca

Sexuality Counseling: Theory, Research, and Practice is a core text for courses on sexuality counseling or sex therapy found in many counseling programs, particularly marriage and family therapy progr

This series of books uses a fun and novel way to teach children the fundamentals of music theory. Games and stickers are used to introduce all of the essentials such as staves, clefs, note identificat

Financial Asset Pricing Theory offers a comprehensive overview of the classic and the current research in theoretical asset pricing. Asset pricing is developed around the concept of a state-price defl

?This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, foun

Competence in any profession depends upon an understanding of the theory that underlies it. This concise and practical text for students and practitioners bridges the gap between occupational therapy

‘A Concise Introduction to the Theory of Integration’ was once a best-selling Birkhauser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now in

The Instructional Design Knowledge Base: Theory, Research and Practice provides ID professionals and students at all levels with a comprehensive exploration of the theories and research that serve as

A Must-Have Companion for Every Student Beginning Latin Scribblers, Scvlptors, and Scribes is the first collection of entirely authentic, unadapted, unsimplified classical Latin texts that beginnin

This book is an extensive and intensive refinement of the unified utilitarian theory (UUT) first proposed by the author in 1991. It is extensive in that UUT is not restricted to be an ethical theory,

Published, posthumously, this volume is both a summing up and a reformulation of Malinowski's functional theory of culture.

Bridging the gap between grinding theory and application, this second edition incorporates new findings since the first edition was published almost 20 years ago. In addition to consideration of regul

This book provides a comprehensive introduction to modern auction theory and its important new applications. It is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the book gives the most up-to-date treatments of both traditional theories of 'optimal auctions' and newer theories of multi-unit auctions and package auctions, and shows by example how these theories are used. The analysis explores the limitations of prominent older designs, such as the Vickrey auction design, and evaluates the practical responses to those limitations. It explores the tension between the traditional theory of auctions with a fixed set of bidders, in which the seller seeks to squeeze as much revenue as possible from the fixed set, and the theory of auctions with endogenous entry, in which bidder profits must be respected to encourage participation.

First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.

This book is a lively and provoking introduction to film theory. Suitable for students from any discipline, it is particularly aimed at those studying film and literature, providing a depth of referen

This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics an

This book emphasizes three very important concepts: computability, as opposed to recursion or induction; classical computability, i.e., algorithmic functions on certain countable structures in the ori