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Title Details:
The Euclidean space
Authors: Arvanitogeorgos, Andreas
Reviewer: Platis, Ioannis
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > GLOBAL DIFFERENTIAL GEOMETRY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > TOPOLOGICAL GROUPS, LIE GROUPS > LIE GROUPS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > APPLICATIONS TO PHYSICS
Keywords:
Euclidean Space
Tanget Vectros
Germs Of Smooth Functions
Vector Fields
Derivations
Multilinear Maps
Tensor And Wedge Product
Differential Forms
Vector Calculus
Description:
Abstract:
Λείες συναρτήσεις, Παραγωγίσεις, Εφαπτόμενα διανύσματα στον R^n ως παραγωγίσεις, Διαφορικές μορφές στον R^n.
Table of Contents:
- Smooth maps in Euclidean space
- Tangent vectors in R^n as derivations
- The covariant derivative
- Germs of functions
- Point derivations
- Vector fields in R^n
- The exterior algebra of multilinear functions
- Differential forms in R^n
- Applications in vector calculus
- Problems
Linguistic Editors: Gyftopoulou, Ourania
Type: Chapter
Creation Date: 2015
Item Details:
License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle http://hdl.handle.net/11419/147
Bibliographic Reference: Arvanitogeorgos, A. (2015). The Euclidean space [Chapter]. In Arvanitogeorgos, A. 2015. Geometry of Manifolds [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/147
Language: Greek
Is Part of: Geometry of Manifolds
Publication Origin: Kallipos, Open Academic Editions