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16 Mar 2004, 47 pages, PDF file with figures, arXiv document

Abstract:

Geometrical and physical vectors; TENSORS IN CARTESIAN COORDINATES;TENSOR FIELDS. DIFFERENTIATION OF TENSORS.Tensor product; Contraction; indices; CHAPTER IV: TENSOR FIELDS IN CURVILINEAR COORDINATES. Author's statement: "This book was written as lecture notes for classes that I taught to undergraduate students majoring in physics in February 2004 during my time as a guest instructor at The University of Akron, which was supported by Dr. Sergei F. Lyuksyutovâs grant from the National Research Council under the COBASE program. These 4 classes have been taught in the frame of a regular Electromagnetism course as anintroduction to "do-it-yourself" style so that I give only a draft of tensor theory, which includes formulating definitions and theorems and giving basic ideas and formulas. All other work such as proving consistence of definitions, deriving formulas, proving theorems or completing details to proofs is left to the reader in the form of numerous exercises. I hope that this style makes learning the subject really quick and more effective for understanding and memorizing." http://arxiv.org/abs/math.HO/0403252 http://arxiv.org/PS_cache/math/pdf/0403/0403252v1.pdf MSC 97U20 PACS 01.30.Pp

Rights:

Rights statements: "Freely distributed on-line. Is free for individual use and educational purposes. Any commercial use without written consent from the author is prohibited" http://arxiv.org/abs/math.HO/0403252 http://arxiv.org/PS_cache/math/pdf/0403/040

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