vector analysis - translation to ελληνικό
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vector analysis - translation to ελληνικό

CALCULUS OF VECTOR-VALUED FUNCTIONS
Vector analysis; N-dimensional calculus; Calculus of vectors; Vector integral; Vector Analyais; Vector Calculus; Calculus III; Vector derivative; Vectorial analysis; Derivative of a vector; Applications of vector calculus; Generalizations of vector calculus

vector analysis         
WRITTEN WORK
Vector Analysis (Gibbs/Wilson)
διανυσματική ανάλυση
vector addition         
GEOMETRIC OBJECT THAT HAS MAGNITUDE (OR LENGTH) AND DIRECTION
Vector (classical mechanics); Three-vector; Vector sum; Vector addition; Spatial vector; Vector (physics); Vector subtraction; Relative vector; Spacial vector; Physical vector; Vector methods (physics); Vector component; Component (vector); Bound vector; Vector (spatial); Vector (geometry); Free vector; Vector (geometric); Triangle law; Euclidean vectors; Vector direction; Vector components; 3d vector; Euclid vector; 3D vector; Geometric vector; Magnitude of resultant vector; Euclidian vector; Vector quantity; Resultant vector; Antiparallel vectors
διανυσματική πρόσθεση
mathematical analysis         
BRANCH OF MATHEMATICS
Analysis (math); Classical analysis; Non-classical analysis; Continuous mathematics; Mathematical Analysis; Math analysis; Hard analysis; Analysis (mathematics); Applications of mathematical analysis; History of mathematical analysis; Mathematics: Its Content, Methods, and Meaning
μαθηματική ανάλυση

Ορισμός

free vector
¦ noun Mathematics a vector of which only the magnitude and direction are specified, not the position or line of action.

Βικιπαίδεια

Vector calculus

Vector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space R 3 . {\displaystyle \mathbb {R} ^{3}.} The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively in physics and engineering, especially in the description of electromagnetic fields, gravitational fields, and fluid flow.

Vector calculus was developed from quaternion analysis by J. Willard Gibbs and Oliver Heaviside near the end of the 19th century, and most of the notation and terminology was established by Gibbs and Edwin Bidwell Wilson in their 1901 book, Vector Analysis. In the conventional form using cross products, vector calculus does not generalize to higher dimensions, while the alternative approach of geometric algebra which uses exterior products does (see § Generalizations below for more).