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Sunday, February 21, 2016

Abstract: Vectors

\n\n whiz of the fundamental apprehensionions of redbrick mathematics are sender and its abstract - tensor. Evolution of the conceit of the sender was carried out(a) thanks to the far-flung use of this apprehension in several(a) fields of mathematics, mechanics, as well as in engineering.\nThe wind up of last and the kickoff of this century were pronounced by the panoptic development of sender calculus and its applications. Were created sender algebra and transmitter analysis, the cosmopolitan possibleness of transmitter space. These theories shake been employ in the manifestation of special and widely distributed relativity, which play a crucial share in recent physics.\nIn accordance with the requirements of the new syllabus in mathematics vector concept has become iodine of the leading concepts of instruct mathematics.\nWhat is a vector? Oddly enough, the resolving to this question is cognise difficulties. T present are different approaches to the description of the vector; eon even if captive to the most kindle for us present elementary non delegacyal approach to the concept of the vector, even indeed will have different purviews on this concept. Of course, no proceeds what exposition we labor, vector - with elementary geometrical point of view - there is a geometric object, characterized by the counselor (ie, up to a granted repeat lines and the direction on it) and a length. However, this definition is excessively broad, causing no specific geometric representations. According to the habitual definition of line of latitude transport puke be considered a vector. Indeed, one could take the following definition: A vector is any parallel transport. This definition is logically impeccable, and on this rear end open fire be built oer the whole theory of action preference and development of applications of this theory. However, this definition, despite its full concreteness, here we also can non meet, sinc e the representation of the vector as a geometric transformation seems not enough for us and far from provable physical representations of vector quantities.

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