Geometry of Vector Sheaves

This book PDF is perfect for those who love Mathematics genre, written by Anastasios Mallios and published by Springer Science & Business Media which was released on 17 June 1998 with total hardcover pages 468. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Geometry of Vector Sheaves books below.

Geometry of Vector Sheaves
Geometry of Vector Sheaves
Author : Anastasios Mallios
File Size : 41,6 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 17 June 1998
ISBN : 0792350049
Pages : 468 pages
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Geometry of Vector Sheaves by Anastasios Mallios Book PDF Summary

This text is part of a two-volume monograph which obtains fundamental notions and results of the standard differential geometry of smooth manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasized. 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 (generalized 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.

Geometry of Vector Sheaves

Geometry of Vector Sheaves by Anastasios Mallios

This text is part of a two-volume monograph which obtains fundamental notions and results of the standard differential geometry of smooth manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasized. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary

Get Book
Geometry of Vector Sheaves

Geometry of Vector Sheaves by 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 physics, via gauge theories

Get Book
Geometry of Vector Sheaves

Geometry of Vector Sheaves by Anastasios Mallios

This is the second volume of a two-volume monograph which obtains fundamental notions and results of the standard differential geometry of smooth manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasized. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from

Get Book
Differential Sheaves And Connections A Natural Approach To Physical Geometry

Differential Sheaves And Connections A Natural Approach To Physical Geometry by Mallios Anastasios,Zafiris Elias

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

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Geometry of Principal Sheaves

Geometry of Principal Sheaves by Efstathios Vassiliou

The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary

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Sheaves on Manifolds

Sheaves on Manifolds by Masaki Kashiwara,Pierre Schapira

Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written,

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Modern Differential Geometry in Gauge Theories

Modern Differential Geometry in Gauge Theories by Anastasios Mallios

This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable

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The Geometry of Moduli Spaces of Sheaves

The Geometry of Moduli Spaces of Sheaves by Daniel Huybrechts,Manfred Lehn

This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.

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