Description: Sheaf Theory through Examples by Daniel Rosiak "This book presents copious and sometimes unexpected examples of sheaf theory, a mathematical tool with promising applications in data science and engineering and in efforts to apply category theory more widely"-- FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description An approachable introduction to elementary sheaf theory and its applications beyond pure math.An approachable introduction to elementary sheaf theory and its applications beyond pure math.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, Sheaf Theory through Examples 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.With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples 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.Sheaf Theory through Examples 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. Author Biography Daniel Rosiak is a Research Associate at the Inamori International Center for Ethics and Excellence at Case Western Reserve University. Table of Contents Acknowledgments ixIntroduction 11 Categories 212 Prelude to Sheaves: Presheaves 453 Universal Constructions 894 Topology: A First Pass at Space 1095 First Look at Sheaves 1476 Theres a Yoneda Lemma for That 1717 Adjunctions 1958 Sheaves Revisited 2419 Cellular Sheaf Cohomology through Examples 27710 Sheaves on a Site 31111 Elementary Toposes 369A Appendix (Revisiting Topology) 411References 431Index 439 Review "Remarkably approachable for those wanting to learn about the theory of sheaves but who do not have an extensive familiarity with the deep abstraction common to mathematical theories in general."—M. Clay, University of Arkansas Details ISBN0262542153 Author Daniel Rosiak Short Title Sheaf Theory Through Examples Pages 432 Language English Year 2022 ISBN-10 0262542153 ISBN-13 9780262542159 Format Paperback Publication Date 2022-10-25 Subtitle A Users Guide Publisher MIT Press Ltd Imprint MIT Press Country of Publication United States AU Release Date 2022-10-25 NZ Release Date 2022-10-25 US Release Date 2022-10-25 UK Release Date 2022-10-25 Illustrations 2 colour illustrations. 75 black and white illustrations Birth 1946 Affiliation Zoe Crook Position Digital Editor Qualifications MA DEWEY 514/.224 Audience General We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:145247177;
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Format: Paperback
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ISBN-13: 9780262542159
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Book Title: Sheaf Theory through Examples
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