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Geometry of Vector Sheaves

Geometry of Vector Sheaves

Anastasios Mallios

133,08 €
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Editorial:
Springer Nature B.V.
Año de edición:
2012
Materia
Cálculo y análisis matemático
ISBN:
9789401061025
133,08 €
IVA incluido
Disponible

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Sobre IBD

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces’), to non-linear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth’ in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the `world around us is far from being smooth enough’. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis.

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Otros libros del autor

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    Anastasios Mallios
    This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle ph...
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  • Modern Differential Geometry in Gauge Theories
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    Original, well-written work of interestPresents for the first time (physical) field theories written in sheaf-theoretic languageContains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatmentsAuthor’s mastery of the subject and the rigorous treatment of this text make it invaluable ...
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