Synthetic Geometry of Manifolds

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  • Synthetic Geometry of Manifolds Book Detail

  • Author : Anders Kock
  • Release Date : 2010
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 317
  • ISBN 13 : 0521116732
  • File Size : 29,29 MB

Synthetic Geometry of Manifolds by Anders Kock PDF Summary

Book Description: 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 neighborhoods 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.

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Synthetic Geometry of Manifolds

Synthetic Geometry of Manifolds

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This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry,

Models for Smooth Infinitesimal Analysis

Models for Smooth Infinitesimal Analysis

File Size : 24,24 MB
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The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces