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Daniel Rosiak
Sheaf Theory through Examples
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4419635Sheaf Theory through Exampleshttps://www.gandhi.com.mx/sheaf-theory-through-examples-9780262362375/phttps://gandhi.vtexassets.com/arquivos/ids/4258105/image.jpg?v=6384465682103700007661065MXNMIT PressInStock/Ebooks/<p><strong>An approachable introduction to elementary sheaf theory and its applications beyond pure math.</strong></p><p>Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, <em>Sheaf Theory through Examples</em> provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more.</p><p>With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, <em>Sheaf Theory through Examples</em> supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms.</p><p><em>Sheaf Theory through Examples</em> seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.</p>...4325545Sheaf Theory through Examples7661065https://www.gandhi.com.mx/sheaf-theory-through-examples-9780262362375/phttps://gandhi.vtexassets.com/arquivos/ids/4258105/image.jpg?v=638446568210370000InStockMXN99999DIEbook20229780262362375_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9780262362375_<p><strong>An approachable introduction to elementary sheaf theory and its applications beyond pure math.</strong></p><p>Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, <em>Sheaf Theory through Examples</em> provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more.</p><p>With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, <em>Sheaf Theory through Examples</em> supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms.</p><p><em>Sheaf Theory through Examples</em> seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.</p>(*_*)9780262362375_<p><strong>An approachable introduction to elementary sheaf theory and its applications beyond pure math.</strong></p><p>Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, <em>Sheaf Theory through Examples</em> provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more.</p><p>With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, <em>Sheaf Theory through Examples</em> supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms.</p><p><em>Sheaf Theory through Examples</em> seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.</p>...9780262362375_MIT Presslibro_electonico_9780262362375_9780262362375Daniel RosiakInglésMéxicohttps://getbook.kobo.com/koboid-prod-public/randomhousewh-epub-132e3a10-fe16-40ad-8806-6b5568e11e2a.epub2022-10-25T00:00:00+00:00MIT Press