Download or read book Introduction of Elements of Mathematics to Linguistics written by Raĭmond Genrikhovich Piotrovskiĭ and published by . This book was released on 1990 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Formal Semantics written by Yoad Winter and published by Edinburgh University Press. This book was released on 2016-04-08 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.
Download or read book Mathematical Methods in Linguistics written by Barbara B.H. Partee and published by Springer Science & Business Media. This book was released on 1990-04-30 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.
Download or read book Mathematical Linguistics written by Andras Kornai and published by Springer Science & Business Media. This book was released on 2007-11-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.
Download or read book The Mathematics of Language written by Marcus Kracht and published by Walter de Gruyter. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Download or read book Elements of Mathematical Linguistics written by Alexej V. Gladkij and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-07-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Syntactic Structures written by Noam Chomsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Syntactic Structures".
Download or read book The Elements of Mathematical Semantics written by Maurice V. Aldridge and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks as well as studies that provide new insights by building bridges to neighbouring fields such as neuroscience and cognitive science. TRENDS IN LINGUISTICS considers itself a forum for cutting-edge research based on solid empirical data on language in its various manifestations, including sign languages. It regards linguistic variation in its synchronic and diachronic dimensions as well as in its social contexts as important sources of insight for a better understanding of the design of linguistic systems and the ecology and evolution of language. TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing.
Download or read book Quantitative Linguistik Quantitative Linguistics written by Reinhard Köhler and published by Walter de Gruyter. This book was released on 2008-07-14 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades, statistical and other quantitative concepts, models and methods have been increasingly gaining importance and interest in all areas of linguistics and text analysis, as well as in a number of neighboring disciplines and areas of application. The term "quantitative linguistics" comprises all scientific and technical approaches which use such terms and methods in the analysis of or work with language(s), texts and other related subjects. The 71 articles in this handbook, written by internationally-recognized experts, offer a broad, up-to-date overview of the scientific-theoretical principles, the history, the diversity of the subject areas studied, the methods and models used, the results obtained thus far and their applications. The articles are divided up into thirteen chapters: the first chapter includes contributions on the basic principles and the history of the field, nine additional chapters are dedicated to individual descriptions of the levels of linguistic research (from phonology to pragmatics) as well as typological, diachronic and geolinguistic questions. The next two chapters include a description of important models, hypotheses and principles; selected areas of application; and references to neighboring disciplines. The last portion of the handbook is an informative contribution, with information about publication forums, bibliographies, major projects, Internet links, etc. This handbook is useful not only for researchers, teachers and students of all branches of linguistics and the philologies, but also for scientists in neighboring fields, whose theoretical and empirical research touches on linguistic questions (for instance, psychology and sociology), or for those who want to make use of the proven methods or results from quantitative linguistics in their own research.
Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 2010-07-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
Download or read book The Mathematics of Language written by Christian Ebert and published by Springer Science & Business Media. This book was released on 2010-07-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at the 10th and 11th Meeting of the Association for Mathematics of Language, held in Los Angeles, CA, USA in July 2007 and in Bielefeld, Germany, in August 2009.The 19 revised papers presented together with 3 invited speeches were carefully selected from numerous submissions. The papers in this collection reflect a wide range of theoretical topics relating to language and computation including papers on the intersection of computational complexity, formal language theory, proof theory, and logic, as well as phonology, lexical semantics, syntax and typology.
Download or read book Introduction to Mathematical Thinking written by Keith J. Devlin and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Download or read book Logic in Linguistics written by Jens Allwood and published by Cambridge University Press. This book was released on 1977-09-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors offer a clear, succinct and basic introduction to set theory and formal logic for linguists.
Download or read book Elements of Set Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 1977-05-23 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Download or read book An Introduction to the Language of Category Theory written by Steven Roman and published by Birkhäuser. This book was released on 2017-01-05 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics. The goal of this book is to present the five major ideas of category theory: categories, functors, natural transformations, universality, and adjoints in as friendly and relaxed a manner as possible while at the same time not sacrificing rigor. These topics are developed in a straightforward, step-by-step manner and are accompanied by numerous examples and exercises, most of which are drawn from abstract algebra. The first chapter of the book introduces the definitions of category and functor and discusses diagrams,duality, initial and terminal objects, special types of morphisms, and some special types of categories,particularly comma categories and hom-set categories. Chapter 2 is devoted to functors and naturaltransformations, concluding with Yoneda's lemma. Chapter 3 presents the concept of universality and Chapter 4 continues this discussion by exploring cones, limits, and the most common categorical constructions – products, equalizers, pullbacks and exponentials (along with their dual constructions). The chapter concludes with a theorem on the existence of limits. Finally, Chapter 5 covers adjoints and adjunctions. Graduate and advanced undergraduates students in mathematics, computer science, physics, or related fields who need to know or use category theory in their work will find An Introduction to Category Theory to be a concise and accessible resource. It will be particularly useful for those looking for a more elementary treatment of the topic before tackling more advanced texts.
