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Transformation Of Coordinates

eBook (PDF), 39 Pages
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Transformation of orthogonal curvilinear coordinates from one system into another is done through partial differentiation. The transformation matrix is also a simple case of partial differentiation. Another aspect of coordinate transformation is Compression of coordinates ( Change of scale in graph) resulting in deformation of graphs. A grand example of this is given by deriving the equations of conic sections from the equation of circle. Finally a grand example of transformation of coordinates would be Lagrange’s equations. The Newton’s Laws of motion have been transformed from Cartesian coordinates into generalized coordinates, . The beauty of Lagrange’s equations lies in the fact that they are invariant in form in any coordinate system. The wonder about it is, that the for divergent problems of quantum mechanics and electromagnetic theory and optics are easily derived from the same Lagrange’s equations using ; the total energy functions in each area.
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Product Details

Edition
1
Published
October 20, 2012
Language
English
Pages
39
File Format
PDF
File Size
493.85 KB

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch... (See More)
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes
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