Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书


Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics)

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发表于2024-12-24

Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书

Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书

Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书



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出版者:Cambridge University Press
作者:Anders Kock
出品人:
页数:312
译者:
出版时间:2009-12-21
价格:USD 80.00
装帧:Hardcover
isbn号码:9780521116732
丛书系列:

图书标签: 数学  of  Synthetic  Springer  Manifolds  Geometry  2009   


Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书 图书描述

This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighbourhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric theories dealt with are connection theory (notably affine connections), geometric distributions, differential forms, jet bundles, differentiable groupoids, differential operators, Riemannian metrics, and harmonic maps. Ideal for graduate students and researchers wishing to familiarize themselves with the field.

Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书

Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书
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