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

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Anders Kock

Cambridge University Press

2009-12-21

312

USD 80.00

Hardcover

9780521116732

图书标签: 数学 of Synthetic Springer Manifolds Geometry 2009

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发表于2024-12-25

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

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

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) 下载 mobi epub pdf txt 电子书