Language Processing Problems

Text is everywhere, and it is a fantastic resource for social scientists. However, because it is so abundant, and because language is so variable, it is often difficult to extract the information we want. There is a whole subfield of AI concerned with text analysis (natural language processing). Many of the basic analysis methods developed are now readily available as Python implementations. This Element will teach you when to use which method, the mathematical background of how it works, and the Python code to implement it.

The social sciences underwent rapid development in postwar America. Problems once framed in social terms gradually became redefined as individual with regards to scope and remedy, with economics and psychology winning influence over the other social sciences. By the 1970s, both economics and psychology had spread their intellectual remits wide: psychology's concepts suffused everyday language, while economists entered a myriad of policy debates. Psychology and economics contributed to, and benefited from, a conception of society that was increasingly skeptical of social explanations and interventions. Sociology, in particular, lost intellectual and policy ground to its peers, even regarding 'social problems' that the discipline long considered its settled domain. The book's ten chapters explore this shift, each refracted through a single 'problem': the family, crime, urban concerns, education, discrimination, poverty, addiction, war, and mental health, examining the effects an increasi

The social sciences underwent rapid development in postwar America. Problems once framed in social terms gradually became redefined as individual with regards to scope and remedy, with economics and psychology winning influence over the other social sciences. By the 1970s, both economics and psychology had spread their intellectual remits wide: psychology's concepts suffused everyday language, while economists entered a myriad of policy debates. Psychology and economics contributed to, and benefited from, a conception of society that was increasingly skeptical of social explanations and interventions. Sociology, in particular, lost intellectual and policy ground to its peers, even regarding 'social problems' that the discipline long considered its settled domain. The book's ten chapters explore this shift, each refracted through a single 'problem': the family, crime, urban concerns, education, discrimination, poverty, addiction, war, and mental health, examining the effects an increasi

Sentiment analysis is the computational study of people's opinions, sentiments, emotions, moods, and attitudes. This fascinating problem offers numerous research challenges, but promises insight useful to anyone interested in opinion analysis and social media analysis. This comprehensive introduction to the topic takes a natural-language-processing point of view to help readers understand the underlying structure of the problem and the language constructs commonly used to express opinions, sentiments, and emotions. The book covers core areas of sentiment analysis and also includes related topics such as debate analysis, intention mining, and fake-opinion detection. It will be a valuable resource for researchers and practitioners in natural language processing, computer science, management sciences, and the social sciences. In addition to traditional computational methods, this second edition includes recent deep learning methods to analyze and summarize sentiments and opinions, and als

This book is an anthology of Greek poetry written during the third to first centuries BC, the Hellenistic period. It is intended to make available to undergraduates and graduate students a selection of texts which are for the most part not easily accessible elsewhere. The volume contains a wide and representative range of poetry including hymns, didactic verse, pastoral poetry, epigrams and epic. An introduction provides cultural and historical background, and a full commentary elucidates problems of language and reference in the texts. In this second edition, many notes have been rewritten and the bibliography has been updated. The selection has also been augmented with three hundred more lines of Greek text (Theocritus poems 5 and 15), and is now more than 2000 lines in length.

This book is an anthology of Greek poetry written during the third to first centuries BC, the Hellenistic period. It is intended to make available to undergraduates and graduate students a selection of texts which are for the most part not easily accessible elsewhere. The volume contains a wide and representative range of poetry including hymns, didactic verse, pastoral poetry, epigrams and epic. An introduction provides cultural and historical background, and a full commentary elucidates problems of language and reference in the texts. In this second edition, many notes have been rewritten and the bibliography has been updated. The selection has also been augmented with three hundred more lines of Greek text (Theocritus poems 5 and 15), and is now more than 2000 lines in length.

Language resources and computational models are becoming increasingly important for the study of language variation. A main challenge of this interdisciplinary field is that linguistics researchers may not be familiar with these helpful computational tools and many NLP researchers are often not familiar with language variation phenomena. This essential reference introduces researchers to the necessary computational models for processing similar languages, varieties, and dialects. In this book, leading experts tackle the inherent challenges of the field by balancing a thorough discussion of the theoretical background with a meaningful overview of state-of-the-art language technology. The book can be used in a graduate course, or as a supplementary text for courses on language variation, dialectology, and sociolinguistics or on computational linguistics and NLP. Part 1 covers the linguistic fundamentals of the field such as the question of status and language variation. Part 2 discusses

Written entirely in Spanish, this is the ideal introduction to Spanish linguistics for students. Using clear explanations, it covers all the basic concepts required to study the structural aspects of the Spanish language – phonetics and phonology, morphology, syntax and semantics – as well as the history of Spanish, its dialects, and its linguistic variation in Latin America, Spain, and the US. This third edition incorporates new features designed to enhance its usefulness for classroom teaching: a new chapter on the teaching and learning of Spanish as a second language, expanded discussion of syntax, and more detailed coverage of Spanish semantics and pragmatics. Numerous exercises have been added throughout the text, some of which are now presented as problems for students to solve, allowing students to gain a more complete mastery of the analytical concepts at hand.

This cross-disciplinary volume provides an overview of how complexity theory and the tools of statistical mechanics can be applied to linguistic problems to help reveal language groups, and to model the evolution and competition of languages in space and time. Illustrated with a series of case studies and worked examples, it presents an interdisciplinary framework to enable researchers from the mathematical, physical and social sciences to collaborate on linguistic problems. It demonstrates the complexity of linguistic databases and provides a mathematical toolkit for analyzing and extracting useful information from them - helping to conceptualize empirical facts better than a mere ethnographic view. Providing an important bridge to facilitate collaboration between linguists and mathematical modelers, this book will stimulate new ideas and avenues for research, and will form a valuable resource for advanced students and academics working across complex systems, sociolinguistics, and la

How do we transmit or distribute knowledge, as distinct from generating or producing it? In this book John Greco examines the interpersonal relations and social structures which enable and inhibit the sharing of knowledge within and across epistemic communities. Drawing on resources from moral theory, the philosophy of language, action theory and the cognitive sciences, he considers the role of interpersonal trust in transmitting knowledge, and argues that sharing knowledge involves a kind of shared agency similar to giving a gift or passing a ball. He also explains why transmitting knowledge is easy in some social contexts, such as those involving friendship or caregiving, but impossible in contexts characterized by suspicion and competition rather than by trust and cooperation. His book explores phenomena that have been undertheorized by traditional epistemology, and throws new light on existing problems in social epistemology and the epistemology of testimony.

Euripides' Cyclops is the only example of Attic satyr-drama which survives intact. It is a brilliant dramatisation of the famous story from Homer's Odyssey of how Odysseus blinded the Cyclops after making him drunk. The play has much to teach us, not just about satyr-drama, but also about the reception and adaptation of Homer in classical Athens; the brutal savagery of the Homeric monster is here replaced by an ironised presentation of Athenian social custom. Problems of syntax, metre and language are fully explained, and there is a sophisticated literary discussion of the play. This edition will be of interest to advanced undergraduates and graduate students studying Greek literature, as well as to scholars.

In the global infectious-disease research community, there has long been uncertainty about the conditions under which biological resources may be studied or transferred out of countries. This work examines the reasons for that uncertainty and shows how global biomedical research has been shaped by international disputes over access to biological resources. Bringing together government leaders, World Health Organization officials, and experts in virology, wildlife biology, clinical ethics, technology transfer, and international law, the book identifies the critical problems - and implications of these problems - posed by negotiating for access and sharing benefits, and proposes solutions to ensure that biomedical advances are not threatened by global politics. Written in accessible, non-technical language, this work should be read by anyone who sees global health and biomedical research as a priority for international lawmakers.

This book is devoted to five main principles of algorithm design: divide and conquer, greedy algorithms, thinning, dynamic programming, and exhaustive search. These principles are presented using Haskell, a purely functional language, leading to simpler explanations and shorter programs than would be obtained with imperative languages. Carefully selected examples, both new and standard, reveal the commonalities and highlight the differences between algorithms. The algorithm developments use equational reasoning where applicable, clarifying the applicability conditions and correctness arguments. Every chapter concludes with exercises (nearly 300 in total), each with complete answers, allowing the reader to consolidate their understanding and apply the techniques to a range of problems. The book serves students (both undergraduate and postgraduate), researchers, teachers, and professionals who want to know more about what goes into a good algorithm and how such algorithms can be expresse

Combining clear explanations of elementary principles, advanced topics and applications with step-by-step mathematical derivations, this textbook provides a comprehensive yet accessible introduction to digital signal processing. All the key topics are covered, including discrete-time Fourier transform, z-transform, discrete Fourier transform and FFT, A/D conversion, and FIR and IIR filtering algorithms, as well as more advanced topics such as multirate systems, the discrete cosine transform and spectral signal processing. Over 600 full-color illustrations, 200 fully worked examples, hundreds of end-of-chapter homework problems and detailed computational examples of DSP algorithms implemented in MATLAB® and C aid understanding, and help put knowledge into practice. A wealth of supplementary material accompanies the book online, including interactive programs for instructors, a full set of solutions and MATLAB® laboratory exercises, making this the ideal text for senior undergraduate and

Deep learning is revolutionizing how machine translation systems are built today. This book introduces the challenge of machine translation and evaluation - including historical, linguistic, and applied context -- then develops the core deep learning methods used for natural language applications. Code examples in Python give readers a hands-on blueprint for understanding and implementing their own machine translation systems. The book also provides extensive coverage of machine learning tricks, issues involved in handling various forms of data, model enhancements, and current challenges and methods for analysis and visualization. Summaries of the current research in the field make this a state-of-the-art textbook for undergraduate and graduate classes, as well as an essential reference for researchers and developers interested in other applications of neural methods in the broader field of human language processing.

Life on the beautiful blue planet is good for the creature who lives there. But the creature is so busy that it doesn't notice some big problems looming. Can it come up with a plan to keep the blue planet beautiful forever? Highly engaging, illustrated picture book to be read out loud to children aged 5-6 Ideal for reading aloud at home with your child Helps expose your child to rich language and curriculum-linked vocabulary Includes key terms from Science and the topic area of taking care of the Earth Part of the Bug Club reading series used in over 3500 schools 'These books are a great start to addressing the wider curriculum and the vocabulary issues that schools are identifying.' - Assistant Head, Primary Academy The Bug Club Shared books are highly engaging, beautifully illustrated stories designed to be read out loud to children.The programme exposes children to rich, curriculum-linked vocabulary, helping to build an understanding across school subjects and cultivate a love for r

Syntax – the study of sentence structure – has been at the centre of generative linguistics from its inception and has developed rapidly and in various directions. The Cambridge Handbook of Generative Syntax provides a historical context for what is happening in the field of generative syntax today, a survey of the various generative approaches to syntactic structure available in the literature and an overview of the state of the art in the principal modules of the theory and the interfaces with semantics, phonology, information structure and sentence processing, as well as linguistic variation and language acquisition. This indispensable resource for advanced students, professional linguists (generative and non-generative alike) and scholars in related fields of inquiry presents a comprehensive survey of the field of generative syntactic research in all its variety, written by leading experts and providing a proper sense of the range of syntactic theories calling themselves generative

Creating an orthography is often seen as a key component of language revitalisation. Encoding an endangered variety can enhance its status and prestige. In speech communities that are fragmented dialectally or geographically, a common writing system may help create a sense of unified identity, or help keep a language alive by facilitating teaching and learning. Despite clear advantages, creating an orthography for an endangered language can also bring challenges, and this volume debates the following critical questions: whose task should this be - that of the linguist or the speech community? Should an orthography be maximally distanciated from that of the language of wider communication for ideological reasons, or should its main principles coincide for reasons of learnability? Which local variety should be selected as the basis of a common script? Is a multilectal script preferable to a standardised orthography? And can creating an orthography create problems for existing native spea

A new, thought-provoking book on the theory of grammar and language processing, based on the analysis of authentic speech produced in real time. Drawing on insights from cognitive psychology, neurology and conversation analysis, the author offers a fascinating, easy-to-follow account of why spoken English is structured the way it is. The traditional product-based approach to grammar is given up in favour of a speaker-based, dynamic perspective that integrates language-structural, neurocognitive and dialogic aspects of speech production. Based on fresh empirical research Haselow argues that grammatical knowledge rests upon two cognitive principles of linearization called 'microgrammar' and 'macrogrammar', which are shown to interact in various ways. The book discusses a broad range of speech phenomena under an integrated framework, such as the omnipresence of 'unintegrated' constituents (e.g. discourse markers), ellipses, or the allegedly 'fragmented' character of syntax, and explains t

Quantitative genetics is the study of continuously varying traits which make up the majority of biological attributes of evolutionary and commercial interest. This book provides a much-needed up-to-date, in-depth yet accessible text for the field. In lucid language, the author guides readers through the main concepts of population and quantitative genetics and their applications. It is written to be approachable to even those without a strong mathematical background, including applied examples, a glossary of key terms, and problems and solutions to support students in grasping important theoretical developments and their relevance to real-world biology. An engaging, must-have textbook for advanced undergraduate and postgraduate students. Given its applied focus, it also equips researchers in genetics, genomics, evolutionary biology, animal and plant breeding, and conservation genetics with the understanding and tools for genetic improvement, comprehension of the genetic basis of human

Quantitative genetics is the study of continuously varying traits which make up the majority of biological attributes of evolutionary and commercial interest. This book provides a much-needed up-to-date, in-depth yet accessible text for the field. In lucid language, the author guides readers through the main concepts of population and quantitative genetics and their applications. It is written to be approachable to even those without a strong mathematical background, including applied examples, a glossary of key terms, and problems and solutions to support students in grasping important theoretical developments and their relevance to real-world biology. An engaging, must-have textbook for advanced undergraduate and postgraduate students. Given its applied focus, it also equips researchers in genetics, genomics, evolutionary biology, animal and plant breeding, and conservation genetics with the understanding and tools for genetic improvement, comprehension of the genetic basis of human

The role of robots in society keeps expanding and diversifying, bringing with it a host of issues surrounding the relationship between robots and humans. This introduction to human-robot interaction (HRI), written by leading researchers in this developing field, is the first to provide a broad overview of the multidisciplinary topics central to modern HRI research. Students and researchers from robotics, artificial intelligence, psychology, sociology, and design will find it a concise and accessible guide to the current state of the field. Written for students from diverse backgrounds, it presents relevant background concepts, describing how robots work, how to design them, and how to evaluate their performance. Self-contained chapters discuss a wide range of topics, including the different communication modalities such as speech and language, non-verbal communication and the processing of emotions, as well as ethical issues around the application of robots today and in the context of

This book is an advanced introduction to semantics that presents this crucial component of human language through the lens of the 'Meaning-Text' theory - an approach that treats linguistic knowledge as a huge inventory of correspondences between thought and speech. Formally, semantics is viewed as an organized set of rules that connect a representation of meaning (Semantic Representation) to a representation of the sentence (Deep-Syntactic Representation). The approach is particularly interesting for computer assisted language learning, natural language processing and computational lexicography, as our linguistic rules easily lend themselves to formalization and computer applications. The model combines abstract theoretical constructions with numerous linguistic descriptions, as well as multiple practice exercises that provide a solid hands-on approach to learning how to describe natural language semantics.

With its intuitive yet rigorous approach to machine learning, this text provides students with the fundamental knowledge and practical tools needed to conduct research and build data-driven products. The authors prioritize geometric intuition and algorithmic thinking, and include detail on all the essential mathematical prerequisites, to offer a fresh and accessible way to learn. Practical applications are emphasized, with examples from disciplines including computer vision, natural language processing, economics, neuroscience, recommender systems, physics, and biology. Over 300 color illustrations are included and have been meticulously designed to enable an intuitive grasp of technical concepts, and over 100 in-depth coding exercises (in Python) provide a real understanding of crucial machine learning algorithms. A suite of online resources including sample code, data sets, interactive lecture slides, and a solutions manual are provided online, making this an ideal text both for grad

This book is an advanced introduction to semantics that presents this crucial component of human language through the lens of the 'Meaning-Text' theory - an approach that treats linguistic knowledge as a huge inventory of correspondences between thought and speech. Formally, semantics is viewed as an organized set of rules that connect a representation of meaning (Semantic Representation) to a representation of the sentence (Deep-Syntactic Representation). The approach is particularly interesting for computer assisted language learning, natural language processing and computational lexicography, as our linguistic rules easily lend themselves to formalization and computer applications. The model combines abstract theoretical constructions with numerous linguistic descriptions, as well as multiple practice exercises that provide a solid hands-on approach to learning how to describe natural language semantics.

Written by leading authorities in database and Web technologies, this book is essential reading for students and practitioners alike. The popularity of the Web and Internet commerce provides many extremely large datasets from which information can be gleaned by data mining. This book focuses on practical algorithms that have been used to solve key problems in data mining and can be applied successfully to even the largest datasets. It begins with a discussion of the MapReduce framework, an important tool for parallelizing algorithms automatically. The authors explain the tricks of locality-sensitive hashing and stream-processing algorithms for mining data that arrives too fast for exhaustive processing. Other chapters cover the PageRank idea and related tricks for organizing the Web, the problems of finding frequent itemsets, and clustering. This third edition includes new and extended coverage on decision trees, deep learning, and mining social-network graphs.

This book provides students and researchers of bilingualism with the most recent methodological and theoretical advances on how bilinguals resolve ambiguous information across languages. With reports on the latest findings from the behavioral and neuropsychological fields, the authors survey the latest research into bilingual language-system modelling and bilingual lexical ambiguity processing. Each chapter looks at bilingual ambiguity resolution both at the word and sentence levels, explaining how bilinguals ultimately comprehend ambiguous information arising from languages they already know. This volume not only explores enduring theoretical questions in bilingual research, such as bilingual representation and language processing, but also evaluates the extent to which the existing bilingual models can satisfactorily account for the most recent research findings.

How does a lawyer think? Does legal intuition exist? Do lawyers need imagination? Why is legal language so abstract? It is no longer possible to answer these questions by applying philosophical analysis alone. Recent advances in the cognitive sciences have reshaped our conceptions of the human mental faculties and the tools we use to solve problems. A new picture of the functioning of the legal mind is emerging. In The Legal Mind, Bartosz Brożek uses philosophical arguments and insight from the cognitive sciences to depict legal thinking as a close cooperation between three cognitive mechanisms - intuition, imagination, and language - and addresses the question of how to efficiently use these mental tools. This novel and provocative approach provides a fresh perspective on legal thinking and gives rise to important questions pertaining to the limits of legal interpretation and rationality in the law.

Learn about the state-of-the-art at the interface between information theory and data science with this first unified treatment of the subject. Written by leading experts in a clear, tutorial style, and using consistent notation and definitions throughout, it shows how information-theoretic methods are being used in data acquisition, data representation, data analysis, and statistics and machine learning. Coverage is broad, with chapters on signal acquisition, data compression, compressive sensing, data communication, representation learning, emerging topics in statistics, and much more. Each chapter includes a topic overview, definition of the key problems, emerging and open problems, and an extensive reference list, allowing readers to develop in-depth knowledge and understanding. Providing a thorough survey of the current research area and cutting-edge trends, this is essential reading for graduate students and researchers working in information theory, signal processing, machine le

Throughout his philosophical development, Wittgenstein was more concerned with language than with any other topic. No other philosopher has been as influential on our understanding of the deep problems surrounding language, and yet the true significance of his writing on the subject is difficult to assess, since most of the current debates regarding language tend to overlook his work. In this book, Thomas McNally shows that philosophers of language still have much to learn from Wittgenstein's later writings. The book examines the finer details of his arguments while also clarifying their importance for debates outside the field of Wittgenstein studies. Presenting the issues thematically (as they relate to questions of reference, scepticism about meaning, and the social dimension of language, among others), the book explores how the arguments in the Philosophical Investigations remain relevant, compelling us to reflect in novel and challenging ways on the nature of language.

Bilingual language behaviour is driven by numerous factors that are usually studied in isolation, even though individual factors never operate alone. Bringing together key insights from psycholinguistics and sociolinguistics, Luna Filipović presents a new model of bilingual language processing that captures bilingualism within and across minds. The model enables readers to explain traditional puzzles in the field, and accounts for some apparently contradictory reports in different studies. It shows how theory can be applied in practice and how practice feeds back into theory, with mutual benefits. Bilinguals are studied in action, when they interact with other bilinguals or monolinguals, when they recall witnessed events in real life and in the lab and when they translate and interpret for the benefit of monolinguals. This interdisciplinary take on bilingualism in action will lead to new research on bilingualism itself, and to applications in forensic linguistics and translation studie

Bilingual language behaviour is driven by numerous factors that are usually studied in isolation, even though individual factors never operate alone. Bringing together key insights from psycholinguistics and sociolinguistics, Luna Filipović presents a new model of bilingual language processing that captures bilingualism within and across minds. The model enables readers to explain traditional puzzles in the field, and accounts for some apparently contradictory reports in different studies. It shows how theory can be applied in practice and how practice feeds back into theory, with mutual benefits. Bilinguals are studied in action, when they interact with other bilinguals or monolinguals, when they recall witnessed events in real life and in the lab and when they translate and interpret for the benefit of monolinguals. This interdisciplinary take on bilingualism in action will lead to new research on bilingualism itself, and to applications in forensic linguistics and translation studie

A large body of knowledge has accumulated in recent years on the cognitive processes underlying language, much of which comes from studies of Indo-European languages, in particular English. This groundbreaking volume explores the languages of South and Southeast Asia, which differ significantly from Indo-European languages in their grammar, lexicon and spoken forms. This book raises new questions in psycholinguistics and enables readers to re-evaluate previous models in light of new research. With thirty-six chapters divided into three parts - Language Acquisition, Language Processing and Language and Brain - it examines contemporary topics alongside new findings in areas such as first and second language acquisition, the development of literacy, the diagnosis of language and reading disorders, and the relationship between language, brain, culture and cognition. It will be invaluable to all those interested in the languages of South and Southeast Asia, as well as psychologists, linguis

'Native speakers' and 'native users' are terms traditionally used to differentiate between speakers who have acquired a language from birth and speakers who have learnt a second language. This book highlights the problems associated with making such a clear cut distinction. By analysing a range of literature, language uses and proficiency tests, Davies argues that there is no significant difference between native speakers and native users, and emphasises the importance of the Standard Language. Whilst individual native speakers may vary considerably, the academic construct of the native speaker is isomorphic with the Standard Language which is available to both native speakers and native users through education. In this book, Davies explores the 'native user' as a second language speaker who uses language with 'native speaker' competence. This book will be of significant interest to students and researchers working in the fields of second language acquisition and applied linguistics.

Social thinkers have criticized Latin American development as incomplete, backward, and anti-modern. This volume demonstrates that, while often deeply compromised and fragmented, Latin American civil spheres have remained resilient, institutionally and culturally, generating new oppositional movements, independent journalism, rebellious intellectuals, electoral power, and critical political parties. In widely different arenas, dissidents have employed the coruscating language of the civil sphere to pollute their oppressors in the name of justice. In the 1970s and 1980s, political thinkers heralded the resurrection of Latin American civil society, envisioning a new world of freedom and stability. Corruption, inequality, racism, and exclusion become pressing and urgent 'social problems', not despite the promises of democracy, but because of them. The premise of this volume is that Latin American civil spheres are powerful, even as they are compromised, creating challenges to anti-civil c

Finite-state methods are the most efficient mechanisms for analysing textual and symbolic data, providing elegant solutions for an immense number of practical problems in computational linguistics and computer science. This book for graduate students and researchers gives a complete coverage of the field, starting from a conceptual introduction and building to advanced topics and applications. The central finite-state technologies are introduced with mathematical rigour, ranging from simple finite-state automata to transducers and bimachines as 'input-output' devices. Special attention is given to the rich possibilities of simplifying, transforming and combining finite-state devices. All algorithms presented are accompanied by full correctness proofs and executable source code in a new programming language, C(M), which focuses on transparency of steps and simplicity of code. Thus, by enabling readers to obtain a deep formal understanding of the subject and to put finite-state methods t

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book w

At a time when many of the world's languages are at risk of extinction, the imperative to document, analyse and teach them before time runs out is very great. At this critical time new technologies, such as visual and aural archiving, digitisation of textual resources, electronic mapping and social media, have the potential to play an integral role in language maintenance and revitalisation. Drawing on studies of endangered languages from around the world - Europe, Asia, Africa and North and South America - this volume considers how these new resources might best be applied, and the problems that they can bring. It also re-assesses more traditional techniques of documentation in light of new technologies and works towards achieving a practicable synthesis of old and new methodologies. This accessible volume will be of interest to researchers in language endangerment, language typology and linguistic anthropology, and to community members working in native language maintenance.

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book w

Gain a detailed understanding of the fundamental concepts of chemistry and their engineering applications with this fully revised second edition. Catering to the needs of first and second semester undergraduate students from all branches of engineering taking courses on engineering chemistry, it offers new material on topics such as periodic properties, structure and bonding, gaseous states, ionic equilibrium, oxidation and reduction, Werner's coordination theory, Sidgwick coordination theory, valence bond theory, crystal field theory, bonding in coordination compounds, and isomerism in coordination compounds. Lucid language and an easy-to-learn approach help students to understand the basic concepts, use them to construct engineering materials, and solve problems associated with them. Each chapter is further strengthened by numerous examples and review questions.