Sheaf Theory through Examples

Sheaf Theory through Examples PDF Author: Daniel Rosiak
Publisher: MIT Press
ISBN: 0262362376
Category : Mathematics
Languages : en
Pages : 454

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Book Description
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.

Sheaf Theory through Examples

Sheaf Theory through Examples PDF Author: Daniel Rosiak
Publisher: MIT Press
ISBN: 0262362376
Category : Mathematics
Languages : en
Pages : 454

Get Book Here

Book Description
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.

System

System PDF Author:
Publisher:
ISBN:
Category : Business
Languages : en
Pages : 800

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Official Gazette of the United States Patent and Trademark Office

Official Gazette of the United States Patent and Trademark Office PDF Author:
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 994

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Red or Dead

Red or Dead PDF Author: David Peace
Publisher: Melville House
ISBN: 1612193692
Category : Fiction
Languages : en
Pages : 738

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Book Description
A New York Times Editors' Choice "[T]he stuff of great literature." —The New York Times | "Red or Dead is a winner." —The Washington Post The place where the swinging sixties started – Liverpool, England, birthplace of the Beatles – wasn’t so swinging. Amid industrial blight and a bad economy, the port town’s shipping industry was going bust and there was widespread unemployment, with no assistance from a government tightening its belt. Even the Beatles moved to London. Into these hard times walked Bill Shankly, a former Scottish coal miner who took over the city’s perpetually last-place soccer team. He had a straightforward work ethic and a favorite song – a silly pop song done by a local band, “You’ll Never Walk Alone.” Soon he would have entire stadiums singing along, tens of thousands of people all dressed in the team color red . . . as Liverpool began to win . . . And soon, too, there was something else those thousands of people would chant as one: Shank-lee, Shank-lee . . . In Red or Dead, the acclaimed writer David Peace tells the stirring story of the real-life working-class hero who lifted the spirits of an entire city in turbulent times. But Red or Dead is more than a fictional biography of a real man, and more than a thrilling novel about sports. It is an epic novel that transcends those categories, until there’s nothing left to call it but – as many of the world’s leading newspapers already have – a masterpiece.

American Stationer and Office Manager

American Stationer and Office Manager PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 856

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The American Stationer and Office Outfitter

The American Stationer and Office Outfitter PDF Author:
Publisher:
ISBN:
Category : Stationery trade
Languages : en
Pages : 1146

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New York Supreme Court

New York Supreme Court PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1558

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Into Exile

Into Exile PDF Author: Elin Toona Gottschalk
Publisher: Evershine Press Inc
ISBN: 0989566145
Category : Biography & Autobiography
Languages : en
Pages : 376

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Book Description
In September 1944, seven-year old Elin, her mother and grandmother fled Estonia ahead of the advancing Soviet Army escaping the risk of deportation to Siberia. "INTO EXILE" is Elin's personal account of the horrors she and her family experienced during WWII followed by an even more confusing peacetime in class-conscious post-war England while adult "DP's" and Elin struggled to find their identity.

Secretaries and Statecraft in the Early Modern World

Secretaries and Statecraft in the Early Modern World PDF Author: Dover Paul M. Dover
Publisher: Edinburgh University Press
ISBN: 1474402240
Category : Biography & Autobiography
Languages : en
Pages : 320

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Book Description
One of the prominent themes of the political history of the 16th and 17th centuries is the waxing influence officials in the exercise of state power, particularly in international relations, as it became impossible for monarchs to stay on top of the increasingly complex demands of ruling. Encompassing a variety of cultural and institutional settings, these essays examine how state secretaries, prime ministers and favourites managed diplomatic personnel and the information flows they generated. They explore how these officials balanced domestic matters with external concerns, and service to the monarch and state with personal ambition. By opening various perspectives on policy-making at the level just below the monarch, this volume offers up rich opportunities for comparative history and a new take on the diplomatic history of the period.

Records and Briefs New York State Appellate Division

Records and Briefs New York State Appellate Division PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1024

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Book Description