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atlas™ - modern differential geometry for Maple™

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Features List & Examples  |  Introduction  |  Dimension  |  Indexing  |  Forms  |  Metric  |  atlasWizard - Maplet™

Given
 Calculate
2D coordinate system 2D coordinate system (Maxwell):

x = a/Pi*(u+1+exp(u)*cos(v))

y = a/Pi*(v+exp(u)*sin(v))
 
  • metric
  • connection
  • Christoffel symbols
  • Laplace operator

 


Solution
2D coordinate system StartRun atlas 2D/3D Wizard and press NEXT button
2D coordinate system Dimension 2D/3DChoose  2D - space and press NEXT button
2D coordinate system Coordinate SystemSelect maxwell coordinate system and press NEXT button
2D coordinate system Curve or SurfacePress NEXT button (just coordinate system calculations no curves or surfaces)
2D coordinate system Enter EquationsNothing to enter (no curve or surface selected), just press NEXT button
2D coordinate system Final Check-OutYou can skip this step (no data was entered just predefined coordinate system).
2D coordinate system Save as WorksheetSpecify a worksheet to save the Maple™ code (output.mws by default).
2D coordinate system FinishPress FINISH button and execute in Maple™ the generated file

Result of the execution

You will see the results of the execution in the worksheet: metric, connection, Christoffel symbols and Laplace operator.
It takes 30 seconds to solve this problem from the beginning to the end! Just try it.