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New Structures for Physics [electronic resource] / edited by Bob Coecke.

By: Coecke, Bob [editor.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Physics: 813Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011Description: XVIII, 1031 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642128219.Subject(s): Physics | Information theory | Algebra | Mathematical physics | Physics | Mathematical Methods in Physics | Category Theory, Homological Algebra | Theory of ComputationDDC classification: 530.15 Online resources: Click here to access online
Contents:
Part I An ABC on Compositionality -- Part II Manifestations of Linearity -- Part III More Example Applications -- Part IV Informatic Geometry -- Part V. Spatio-Temporal Geometry -- Part VI Geometry and Topology in Computation.
In: Springer eBooksSummary: This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.
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Part I An ABC on Compositionality -- Part II Manifestations of Linearity -- Part III More Example Applications -- Part IV Informatic Geometry -- Part V. Spatio-Temporal Geometry -- Part VI Geometry and Topology in Computation.

This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

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