Differential Sheaves and Connections: A Natural Approach to Physical Geometry: 18 (Series on Concrete & Applicable Mathematics) - Hardcover

Mallios, Anastasios; Zafiris, Elias

Hardcover

ISBN 10: 9814719463 ISBN 13: 9789814719469

Verlag: WSPC, 2015

Inhaltsangabe

Páginas:302Géneros:12:PH:Physics12:PBW:Appliedmathematics12:PBMP:Differential&RiemanniangeometrySinopsis: ,Thisuniquebookprovidesaself-containedconceptualandtechnicalintroductiontothetheoryofdifferentialsheaves.Thisservesboththenewcomerandtheexperiencedresearcherinundertakingabackground-independent,naturalandrelationalapproachto",physicalgeometry",.Inthismanner,thisbookissituatedatthecrossroadsbetweenthefoundationsofmathematicalanalysiswithaviewtowarddifferentialgeometryandthefoundationsoftheoreticalphysicswithaviewtowardquantummechanicsandquantumgravity.Theunifyingthreadisprovidedbythetheoryofadjointfunctorsincategorytheoryandtheelucidationoftheconceptsofsheaftheoryandhomologicalalgebrainrelationtothedescriptionandanalysisofdynamicallyconstitutedphysicalgeometricspectrums._,

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Críticas:

The book is manifestly dense, idiosyncratic, and ambitious in its aims. It is an interesting approach indeed to a very deep set of questions at the intersection of physics and mathematics, employing novel and even avant-garde techniques and perspectives. --Mathematical Reviews Clippings

Reseña del editor:

This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.

Über diese Auflage

• Verlag: WSPC
• Erscheinungsdatum: 2015
• ISBN 10: 9814719463
• ISBN 13: 9789814719469
• Einband: Tapa dura
• Anzahl der Seiten: 302