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Category Theory in Context (Dover Modern Math Originals) de Emily Riehl
Descripción - Reseña del editor Derived from courses the author taught at Harvard and Johns Hopkins, this original book introduces the concepts of category theory ? categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctive, monads ? and other topics, revisiting a broad range of mathematical examples from the categorical perspective. Basic set theory and logic are the only prerequisites. Contraportada 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 difficult problems in algebra, number theory, algebraic geometry, and algebraic topology. Drawing upon a broad range of mathematical examples from the categorical perspective, the author illustrates how the concepts and constructions of category theory arise from and illuminate more basic mathematical ideas. Prerequisites are limited to familiarity with some basic set theory and logic. www.doverpublications.com Biografía del autor Emily Riehl is Assistant Professor in the Department of Mathematics at Johns Hopkins University. She received her PhD from the University of Chicago in 2011 and was a Benjamin Pierce and NSF Postdoctoral Fellow at Harvard University from 2011-15. She is also the author of Categorical Homotopy Theory.
Detalles del Libro
- Name: Category Theory in Context (Dover Modern Math Originals)
- Autor: Emily Riehl
- Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
- Tamaño del archivo: 14 MB
- Tipos de archivo: PDF Document
- Descargada: 196 times
- Idioma: Español
- Archivos de estado: AVAILABLE
Descarga Category Theory in Context (Dover Modern Math Originals) de Emily Riehl Libro PDF
Category theory in context aurora dover modern math category theory has provided the foundations for many of the twentieth centurys greatest advances in pure mathematics this concise original text for a onesemester introduction to 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
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Category theory in nlab later this will lead naturally on to an infinite sequence of steps first 2category theory which focuses on relation between relations morphisms between morphisms 2morphisms then 3category theory etc and to various variants bicategories gray categories eventually this leads to higher category theory where one considers k kmorphisms in all dimensions and to a wealth of
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Good books and lecture notes about category theory emily riehls recently published book category theory in context is a fantastic introductory text for those interested in seeing lots of examples of where category theory arises in various mathematical disciplines understand the examples from other branches of mathematics requires some mathematical maturity eg a bit of exposure to algebra and topology but these examples arent strictly
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