Paul B. Garrett – författare

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 Common Curricular WeaknessesIn addition to standard introductory material on the subject, such as Lagrange's and Sylow's theorems in group theory, the text provides important specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields. The book also focuses on broader background, including brief but representative discussions of naive set theory and equivalents of the axiom of choice, quadratic reciprocity, Dirichlet's theorem on primes in arithmetic progressions, and some basic complex analysis. Numerous worked examples and exercises throughout facilitate a thorough understanding of the material.

On Becoming Bilingual: Children’s Experiences across Homes, Schools, and Communities provides a theoretical and methodological introduction to research on children’s participation in and across a multiplicity of activities where they display complex linguistic and sociocultural knowledge. From a perspective that engages intersections of language, race, and class, the book reviews foundational and recent studies highlighting innovations, trends, and future directions for research. The book offers a helpful set of resources, including guiding questions at the start of each chapter, links to online and bibliographic sources, discussion questions and activities, and a glossary of key terms. This book is intended for scholars and students in language-oriented fields of study who are interested in learning about how bilingual children engage with, negotiate, and transform their social worlds.

On Becoming Bilingual: Children’s Experiences across Homes, Schools, and Communities provides a theoretical and methodological introduction to research on children’s participation in and across a multiplicity of activities where they display complex linguistic and sociocultural knowledge. From a perspective that engages intersections of language, race, and class, the book reviews foundational and recent studies highlighting innovations, trends, and future directions for research. The book offers a helpful set of resources, including guiding questions at the start of each chapter, links to online and bibliographic sources, discussion questions and activities, and a glossary of key terms. This book is intended for scholars and students in language-oriented fields of study who are interested in learning about how bilingual children engage with, negotiate, and transform their social worlds.