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Abstract Algebra
Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a student-friendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal mapping properties, rather than by constructions whose technical details are irrelevant. Addresses ...
Buildings and Classical Groups
Buildings are highly structured, geometric objects, primarily used in the finer study of the groups that act upon them. In Buildings and Classical Groups, the author develops the basic theory of buildings and BN-pairs, with a focus on the results needed to apply it to the representation theory of p-adic groups. In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building. He also covers in detail many otherwise apocryphal results. Classical matrix groups play a prominent role in this study, not only as vehicles to illustrate general results but as primary objects of interest. The author introduces and completely develops ...
Language Change and Language Contact in Pidgins and Creoles
This book collects a selection of fifteen papers presented at three meetings of the Society for Pidgin and Creole Linguistics in 1996 and 1997. The focus is on papers which approach issues in creole studies with novel perspectives, address understudied pidgin and creole varieties, or compellingly argue for controversial positions. The papers demonstrate how pidgins and creoles shed light on issues such as verb movement, contact-induced language change and its gradations, discourse management via tense-aspect particles, language genesis, substratal transfer, and Universal Grammar, and cover a wide range of contact languages, ranging from English- and French-based creoles through Portuguese creoles of Africa and Asia, Sango, Popular Brazilian Portuguese, West African Pidgin Englishes, and Hawaiian Creole English.
Social Work and Social Theory
In order to work effectively, social workers need to understand theoretical concepts and develop critical theory. In Social Work and Social Theory, Paul Michael Garrett seeks to bring the profession into dialogue with the anticapitalist movement and encourages a new engagement with theorists such as Antonio Gramsci, Pierre Bourdieu, and Nancy Fraser. It provides an accessible and exhilarating introduction for practitioners, students, and social work academics interested in social theory and critical social policy. It will be a vital resource aiding anyone intent on creating a more radical social work and a useful teaching tool to spark lively classroom discussion.
The Anthropology of Extinction
The Anthropology of Extinction offers compelling explorations of issues of widespread concern.
Making, Breaking Codes
This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probability--with surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics. More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.
Automorphic Forms Beyond $mathrm {GL}_2$
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.
Modern Analysis of Automorphic Forms By Example
Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.
The Anthropology of Extinction
Exploring the endings of species, languages, cultures, and ways of life, this collection “provocatively makes one think about extinction in novel ways.” —Biological Conservation We live in an era marked by an accelerating rate of species death, but since the early days of the discipline, anthropology has contemplated the death of languages, cultural groups, and ways of life. The essays in this collection examine processes of—and our understanding of—extinction across various domains. The contributors argue that extinction events can be catalysts for new cultural, social, environmental, and technological developments—that extinction processes can, paradoxically, be productive as well as destructive. The book considers a number of widely publicized cases: island species in the Galápagos and Madagascar; the death of Native American languages; ethnic minorities under pressure to assimilate in China; cloning as a form of species regeneration; and the tiny hominid Homo floresiensis fossils (“hobbits”) recently identified in Indonesia. The Anthropology of Extinction offers compelling explorations of issues of widespread concern.
The Guidebook to Sociolinguistics
The Guidebook to Sociolinguistics presents a comprehensive introduction to the main concepts and terms of sociolinguistics, and of the goals, methods, and findings of sociolinguistic research. Introduces readers to the methodology and skills of doing hands-on research in this field Features chapter-by-chapter classic and contemporary case studies, exercises, and examples to enhance comprehension Offers wide-ranging coverage of topics across sociolinguistics. It begins with multilingualism, and moves on through language choice and variation to style and identity Takes students through the challenges involved in conducting their own research project Written by one of the leading figures in sociolinguistics
