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- Q1969983 subject Q6181442.
- Q1969983 subject Q7009992.
- Q1969983 subject Q8482199.
- Q1969983 abstract "Suppose that φ : M → N is a smooth map between smooth manifolds; then the differential of φ at a point x is, in some sense, the best linear approximation of φ near x. It can be viewed as a generalization of the total derivative of ordinary calculus. Explicitly, it is a linear map from the tangent space of M at x to the tangent space of N at φ(x). Hence it can be used to push tangent vectors on M forward to tangent vectors on N.The differential of a map φ is also called, by various authors, the derivative or total derivative of φ, and is sometimes itself called the pushforward.".
- Q1969983 thumbnail Pushforward.svg?width=300.
- Q1969983 wikiPageWikiLink Q1058314.
- Q1969983 wikiPageWikiLink Q1154996.
- Q1969983 wikiPageWikiLink Q11703678.
- Q1969983 wikiPageWikiLink Q186247.
- Q1969983 wikiPageWikiLink Q188444.
- Q1969983 wikiPageWikiLink Q203920.
- Q1969983 wikiPageWikiLink Q2071054.
- Q1969983 wikiPageWikiLink Q207643.
- Q1969983 wikiPageWikiLink Q213363.
- Q1969983 wikiPageWikiLink Q2276721.
- Q1969983 wikiPageWikiLink Q244761.
- Q1969983 wikiPageWikiLink Q3552958.
- Q1969983 wikiPageWikiLink Q395.
- Q1969983 wikiPageWikiLink Q4200951.
- Q1969983 wikiPageWikiLink Q44337.
- Q1969983 wikiPageWikiLink Q451323.
- Q1969983 wikiPageWikiLink Q4997547.
- Q1969983 wikiPageWikiLink Q506041.
- Q1969983 wikiPageWikiLink Q574589.
- Q1969983 wikiPageWikiLink Q6181442.
- Q1969983 wikiPageWikiLink Q621542.
- Q1969983 wikiPageWikiLink Q636889.
- Q1969983 wikiPageWikiLink Q658429.
- Q1969983 wikiPageWikiLink Q673253.
- Q1969983 wikiPageWikiLink Q7009992.
- Q1969983 wikiPageWikiLink Q746550.
- Q1969983 wikiPageWikiLink Q8482199.
- Q1969983 wikiPageWikiLink Q864475.
- Q1969983 wikiPageWikiLink Q868473.
- Q1969983 wikiPageWikiLink Q909601.
- Q1969983 wikiPageWikiLink Q973595.
- Q1969983 wikiPageWikiLink Q978505.
- Q1969983 comment "Suppose that φ : M → N is a smooth map between smooth manifolds; then the differential of φ at a point x is, in some sense, the best linear approximation of φ near x. It can be viewed as a generalization of the total derivative of ordinary calculus. Explicitly, it is a linear map from the tangent space of M at x to the tangent space of N at φ(x).".
- Q1969983 label "Pushforward (differential)".
- Q1969983 depiction Pushforward.svg.