Show simple item record

dc.contributor.authorHerzberg, Steven
dc.date.accessioned2018-11-12T21:12:39Z
dc.date.available2018-11-12T21:12:39Z
dc.date.issued2016-06
dc.identifier.urihttps://hdl.handle.net/20.500.12202/4230
dc.identifier.urihttps://yulib002.mc.yu.edu/login?url=https://repository.yu.edu/handle/20.500.12202/4230
dc.descriptionThe file is restricted for YU community access only.
dc.description.abstractWe explore the notion of differentiability in finite and infinite dimensional spaces, including a geometric interpretation. This includes, in finite dimensions, the relationship between the existence of directional derivatives and that of a tangent hyperplane, and in infinite dimensions, Gˆateaux and Fr´echet differentiability. We apply these notions to the Calculus of Variations, and to finding the shortest path between two points on a flat plane and on a torus. To account for the domain, often a space of distributions, we define weak derivatives.en_US
dc.description.sponsorshipJay and Jeanie Schottenstein Honors Programen_US
dc.language.isoen_USen_US
dc.publisherYeshiva Collegeen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectCalculus of variations.en_US
dc.subjectFréchet spaces.en_US
dc.subjectLinear topological spaces.en_US
dc.subjectGeneralized spaces.en_US
dc.subjectSpace and time.en_US
dc.subjectSurfaces.en_US
dc.subjectDirectional derivatives.en_US
dc.subjectDifferential calculus.en_US
dc.subjectConvergence.en_US
dc.titleOn Different Aspects of Differentiability and the Calculus of Variationsen_US
dc.typeThesisen_US


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 United States
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States