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'The book is extremely pleasant to read, with masterfully crafted exercises and examples that create a beautiful and unique thread of presentation leading the reader safely into the wonderfully rich, expressive, and powerful theory of categories.' -- The Math Association Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for a one-semester course on the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads, and other topics. Suitable for advanced undergraduates and graduate students in mathematics, the text provides tools for understanding and attacking
'The book is extremely pleasant to read, with masterfully crafted exercises and examples that create a beautiful and unique thread of presentation leading the reader safely into the wonderfully rich, expressive, and powerful theory of categories.' -- The Math Association Category theory has
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating
Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the
Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories.Category theory is a branch of pure mathematics that is
The Second Edition of Correctional Theory: Context and Consequences continues to identify and evaluate the major competing theories used to guide the goals, policies, and practices of the correctional system. Authors Francis T. Cullen and Cheryl Lero Jonson demonstrate that changes in theories can
Plant life is a subject frequently ignored in the context of urban theory, and the essays in The Botanical City offer a fresh perspective into new ecological forms that continue to emerge in cities across the world. Much like the unique adaptive strategies of city-native animals, urban plants often
A renewal of immanent metaphysics through diagrammatic methods and the tools of category theorySpinoza, Peirce and Deleuze are, in different ways, philosophers of immanence. Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used
Critical Design is becoming an increasingly influential discipline, affecting policy and practice in a range of fields. Matt Malpass's book is the first to introduce critical design as a field, providing a history of the discipline, outlining its key influences, theories and approaches, and
Modern society emerged in the context of European colonialism and empire. So, too, did a distinctively modern social theory, laying the basis for most social theorising ever since. Yet colonialism and empire are absent from the conceptual understandings of modern society, which are organised
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful
Grammatix is a creative and inspiring guide to the theory and use of grammar, for teachers, parents and students. It is designed to show you that grammar is a magical tool that can aid your thinking and help you to communicate. Endorsed by the Independent Schools Examinations Board
Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena. This text lays the foundation for this categorical
This innovative study, explores the relevance of class as a theoretical category in our world today, arguing that leading traditions of class analysis have missed major elements of what class is and how it operates. It combines instersectional theory and materialism to show that culture, economics,
This book develops a theory of enriched meanings for natural language interpretation that uses the concept of monads and related ideas from category theory, a branch of mathematics that has been influential in theoretical computer science and elsewhere. Certain expressions that exhibit complex
A provocative theory of the gimmick as an aesthetic category steeped in the anxieties of capitalism.Repulsive and yet strangely attractive, the gimmick is a form that can be found virtually everywhere in capitalism. It comes in many guises: a musical hook, a financial strategy, a striptease, a
Macroeconomics in Context: A European Perspective lays out the principles of macroeconomics in a manner that is thorough, up to date, and relevant to students. With a clear presentation of economic theory throughout, this latest addition to the bestselling 'In Context' set of textbooks is written
The essays collected in Contemporary Painting in Context examine the transformation and expansion of the field of painting over the last decades in relation to the more general lines of development in contemporary culture and visuality. The contributors address a range of important issues ?
Now in its fifth edition, French Grammar in Context presents a unique and exciting approach to learning grammar. Authentic texts from a rich variety of sources, literary and journalistic, are used as the starting point for the illustration and explanation of key areas of French grammar. Each point
Strategic Sourcing and Category Management examines how category management works in practice, drawing insight from IKEA. With over twenty-five years' experience of purchasing at IKEA, Magnus Carlsson shares the wisdom gained from devising and executing IKEA's highly successful purchasing
Location Technologies in International Context offers the first international account of location technologies (in an expanded sense) and brings together a range of contributions on these technologies and their various cultures of use within the Global South.This collection asks: How, within the
The original contextualized approach brings grammar to life. Grammar in Context brings grammar alive through engaging and informative readings that are relevant to learners� lives. National Geographic photography and stories deliver real-world content to improve grammar awareness and retention
Employment Law in Context provides students with a complete guide to employment law. David Cabrelli combines extracts from leading cases and articles with insightful and sophisticated author commentary to provide the reader with a full, critical understanding of employment law. As well as providing
Spanish Grammar in Context provides an accessible and stimulating approach to learning grammar. Authentic texts are used to illustrate and explain the key areas of Spanish grammar, followed by a range of exercises to help students reinforce and test their understanding. An answer key is also