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

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

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

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

(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

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

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

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

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

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.

Recursion theory – now a well-established branch of pure mathematics, having grown rapidly over the last 35 years – deals with the general (abstract) theory of those operations which we conceive as being `computable' by idealized machines. The theory grew out of, and is usually still regarded, as a branch of mathematical logic. This book is a collection of advanced research/survey papers by eminent research workers in the field, based on their lectures given at the Leeds Logic Colloquium 1979. As such it provides an up-to-date view of current ideas and developments in the field of recursion theory as a whole. The individual contributions fit together naturally so as to provide an overview of all the main areas of research in the field. It will therefore be an important and invaluable source for advanced researchers and research students in mathematics and computer science (particularly in Europe, USA and USSR).

「演算法」與「資料結構」到底是什麼？「演算法」其實是一套「使用資料的策略」，而「資料結構」則是將資料整理成特定格式，讓你擁有更多使用資料的策略。掌握演算法是成為軟體工程師的必經之路，不僅在工作上能提升開發系統的效能，更是面試時必備的技能之一，可以說學習演算法的 CP 值實在高到不行！▌本書特色◉ 初學者友善，從0到1，無痛入門◉ 提供完成程式碼，輕鬆接觸演算法◉ LeetCode實戰教學，工作面試超加分◉ 分享「演算法」於職場上的價值與意義▌你將能了解到♦ 海外大廠面試白板題解析♦ 海外求職經驗分享♦ 五大演算法策略：貪婪法、枚舉法、回溯法、分支界限法、分治法♦ 三大排序演算法：氣泡排序、插入排序、選擇排序♦ 資料結構：Stack & Queue♦ 資料結構：Array & Linked List♦ 演算法策略：深度優先（DFS） vs 廣度優先（BFS）♦ 演算法效能：時間複雜度（Big O）♦ 演算法實作：迴圈（Loop） vs 遞迴（Recursion）

《小提琴的陰謀》——美國《早安美國》讀書俱樂部選書雷・麥克米利恩是冉冉升起的黑人小提琴家，不畏種族歧視與傳統音樂界的偏見，全心追逐夢想。就在他準備參加世界級柴可夫斯基大賽時，他的傳家寶小提琴——一把無價的史特拉迪瓦里名琴——竟遭竊，並留下高達五百萬美元的贖金要求！從北卡羅來納州鄉間到全球音樂殿堂，雷奮力對抗偏見，突破困境，而如今，他不僅要奪回小提琴，更要向世界證明：無論結果如何，他始終是一位偉大的音樂家。「與《后翼棄兵》一樣精彩，充滿張力與熱血！」—《紐約時報》暢銷作家 克里斯·博哈利安GOOD MORNING AMERICA BOOK CLUB PICK! - Ray McMillian is a Black classical musician on the rise--undeterred by the pressure and prejudice of the classical music world--when a shocking theft sends him on a desperate quest to recover his great-great-grandfather's heirloom violin on the eve of the most prestigious musical competition in the world. "I loved The Violin Conspiracy for exactly the same reasons I loved The Queen's Gambit a surprising, beautifully rendered underdog hero I cared about deeply and a fascinating, cutthroat world I knew nothing about--in this case, classical music." --Chris Bohjalian, #1 New York Times bestselling author of The Flight Attendant and Hour of the Witch Growing up Black in rural North Carolina, Ray McMillian's li

Apart from “new poetry” composed in the vernacular language, the tradition of classical poetry originating in China has also been maintained in Taiwan. We cannot ignore the fact that those poets who c

In this timely book, critical theorist Christian Fuchs asks: What is nationalism and what is the role of social media in the communication of nationalist ideology?Advancing an applied Marxist theory o

Classical Greece and its legacy have long inspired a powerful and passionate fascination. The civilization that bequeathed to later ages drama and democracy, Homer and heroism, myth and Mycenae and th

Drawing on a vast archive of world history, anthropology, geography, cultural theory, postcolonial studies, gender studies, literature, and art, Susan Stanford Friedman recasts modernity as a networke

John Maynard Keynes (1883-1946) is perhaps the foremost economic thinker of the twentieth century. On economic theory, he ranks with Adam Smith and Karl Marx; and his impact on how economics was pract

First written in response to a JACT survey of over 100 schools, this textbook has become a standard resource for students throughout the UK and for readers across the world who are looking for a clear and thorough introduction to the language of the ancient Greeks. Now revised throughout and enhanced by colour artwork and text features, this revised edition will support the new OCR specification for Classical Greek (first teaching 2016).Written by a long-time school teacher and examiner, this two-part course is based on experience of what pupils find difficult, concentrating on the essentials and on the understanding of principles in both accidence and syntax: minor irregularities are postponed and subordinated so that the need for rote learning is reduced. It aims to be user-friendly, but also to give pupils a firm foundation for further study. Part 1 covers the basics and is self-contained, with its own reference section. It covers the main declensions, a range of active tenses and a

A new theory is taking hold in neuroscience. It is the theory that the brain is essentially a hypothesis-testing mechanism, one that attempts to minimise the error of its predictions about the sensory input it receives from the world. It is an attractive theory because powerful theoretical arguments support it, and yet it is at heart stunningly simple. Jakob Hohwy explains and explores this theory from the perspective of cognitive science and philosophy. The key argument throughout The Predictive Mind is that the mechanism explains the rich, deep, and multifaceted character of our conscious perception. It also gives a unified account of how perception is sculpted by attention, and how it depends on action. The mind is revealed as having a fragile and indirect relation to the world. Though we are deeply in tune with the world we are also strangely distanced from it.The first part of the book sets out how the theory enables rich, layered perception. The theory's probabilistic and statist

" This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. Topics include probability spaces and random variables,

An engaging exploration of history, science and religion provides a thought-provoking account of Charles Darwin's evolutionary theory, examining how his personal life affected his work and vice versa

Designed for a first course in real variables, this text encourages intuitive thinking and offers background for more advanced mathematical work. Topics include complex variables, measure theory, diff

"A timely and sophisticated series of studies. Articulating diverse strands of social theory with the historical episodes that have had major affective resonances within national cultures, the volume

This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is d

Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.

Marvel at Lang Lang’s ability to overcome a tough childhood and become a piano virtuoso. Discover the story of world-famous pianist Lang Lang, one of classical music’s most renowned stars. Born in Sh

Recursion and self-embedding are at the heart of our ability to formulate our thoughts, articulate our imagination and share with other human beings. Nonetheless, controversy exists over the extent to which recursion is shared across all domains of syntax. A collection of 18 studies are presented here on the central linguistic property of recursion, examining a range of constructions in over a dozen languages representing great areal, typological and genetic diversity and spanning wide latitudes. The volume expands the topic to include prepositional phrases, possessives, adjectives, and relative clauses - our many vehicles to express creative thought - to provide a critical perspective on claims about how recursion connects to broader aspects of the mind. Parallel explorations across language families, literate and non-literate societies, children and adults are investigated and constitutes a new step in the generative tradition by simultaneously focusing on formal theory, acquisition

A unique and richly illustrated gift book featuring four classic stories from the ballet.Step into the magical world of the ballet with this timeless collection of four stories, each one based on a beloved classical ballet. Now beautifully reimagined by the award-winning Caryl Hart, with luminous illustrations throughout from Briony May Smith.Delight in dancing swans, fantastical firebirds, sleeping princesses and sugar plum fairies in this fresh, dynamic and magical collection that will delight all ages from 5 and up.With its gold foil cover, jewellike colours and striking design, this is the ultimate gift for all fans of ballet and fairy tale and a glorious celebration of story, dance and theatre. A book to treasure and share.Featuring Swan Lake, Sleeping Beauty, The Firebird and The Nutcracker.

An action-packed comedy about a fake family that includes a spy, an assassin and a telepath! Master spy Twilight is unparalleled when it comes to going undercover on dangerous missions for the betterment of the world. But when he receives the ultimate assignment--to get married and have a kid--he may finally be in over his head! The midterm exams--with stella stars and tonitrus bolts on the line--are over. Did Anya's hard work studying classical language pay off? Also, in hopes of advancing her plan B at the class gala, Anya asks Damian to be her dance partner!

The 300 sentence pattern book is designed to make readers familiar with the most classical and useful English sentence patterns and learn to use them by practicing the translation drills. The core elements of any forms of English writings are idiomatic and grammatically sound sentences. Learning how to write a good English sentence is like constructing a building with solid bricks. So please learn to compose English writings in a down-to-the-earth way, that is, make the most of this sentence pattern book to build your linguistic proficiency as to write good English. 任何形式的英文寫作，其核心要素都是道地且合乎文法的句子，學習如何寫好一個英文句子，就如同用堅固的磚塊來建造一棟建築。因此，本書旨在讓讀者熟悉經典且最實用的英文句型，並透過翻譯練習學會實際運用；並指導讀者以踏實穩健的方式學習英文寫作。只要善加運用本書來累積語言實力，即可寫出優秀的英文文章。

The 300 sentence pattern book is designed to make readers familiar with the most classical and useful English sentence patterns and learn to use them by practicing the translation drills. The core elements of any forms of English writings are idiomatic and grammatically sound sentences. Learning how to write a good English sentence is like constructing a building with solid bricks. So please learn to compose English writings in a down-to-the-earth way, that is, make the most of this sentence pattern book to build your linguistic proficiency as to write good English. 任何形式的英文寫作，其核心要素都是道地且合乎文法的句子，學習如何寫好一個英文句子，就如同用堅固的磚塊來建造一棟建築。因此，本書旨在讓讀者熟悉經典且最實用的英文句型，並透過翻譯練習學會實際運用；並指導讀者以踏實穩健的方式學習英文寫作。只要善加運用本書來累積語言實力，即可寫出優秀的英文文章。