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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: 15 MB
- Tipos de archivo: PDF Document
- Idioma: Español
- Archivos de estado: AVAILABLE
LIBRO Category Theory in Context (Dover Modern Math Originals) de Emily Riehl PDF ePub
Category Theory in Context (Aurora: Dover Modern Math ~ 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 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 .
Basic Category Theory (Cambridge Studies in Advanced ~ Category Theory in Context (Aurora: Dover Modern Math Originals) Emily Riehl. 4.6 out of 5 stars 20. Paperback. $20.78. Conceptual Mathematics: A First Introduction to Categories F. William Lawvere. 4.2 out of 5 stars 47. Paperback. $59.39. Category Theory for the Sciences (The MIT Press) David I. Spivak.
Basic Category Theory (Cambridge Studies in Advanced ~ Category Theory in Context (Aurora: Dover Modern Math Originals) Emily Riehl. 4.6 out of 5 stars 21. Paperback. £18.52. An Invitation to Applied Category Theory: Seven Sketches in Compositionality Brendan Fong. 4.7 out of 5 stars 20. Paperback. £36.43. An Introduction to Category Theory Harold Simmons.
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Category Theory: Lecture Notes and Online Books - Logic ~ Emily Riehl, Category Theory in Context (pp. 240: 2016 version of her lecture course at Johns Hopkins, now published as a Dover book). Andrei Rodin, Axiomatic Method and Category Theory (2012 arXiv version of book published by Springer 2104: not an exposition of category theory but discusses something of the history and philosophy behind its development).
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Category theory and its applications - Dialnet ~ Autorías: I. Moerdijk, M. Barr. Localización: Journal of pure and applied algebra. Nº 1, 2000. Artículo de Revista en Dialnet.