Sheaf Theory Through Examples by Rosiak, Daniel

Sheaf Theory Through Examples

An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheaves are mathematical constructions...
$207.63 AUD
$207.63 AUD
SKU: 9780262542159
Product Type: Books
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Author: Daniel Rosiak
Format: Paperback
Language: English
Subtotal: $207.63
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Sheaf Theory Through Examples by Rosiak, Daniel

Sheaf Theory Through Examples

$207.63

Sheaf Theory Through Examples

$207.63
Author: Daniel Rosiak
Format: Paperback
Language: English
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: Daniel Rosiak
Publisher: MIT Press
Published: 10/25/2022
Pages: 454
Binding Type: Paperback
Weight: 2.00lbs
Size: 9.90h x 6.90w x 1.00d
ISBN: 9780262542159

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