Overview of the DifferentialGeometry Lessons
DescriptionThe DifferentialGeometry LessonsThe LieAlgebra Lessons<Text-field bookmark="info" style="Heading 2" layout="Heading 2">Description</Text-field>The DifferentialGeometry package contains a comprehensive set of lesson worksheets. These lessons are designed to rapidly provide differential geometry students and researchers with the skills needed to use the Maple DifferentialGeometry package in their course work and research. Most of the lessons can be completed in less than 1 hour. Each lesson contains exercises designed to reinforce the use of the commands presented in the lesson and to help new Maple users become more proficient with Maple symbolic computations. Solutions to all the exercises are provided.
<Text-field bookmark="examples" style="Heading 2" layout="Heading 2">The DifferentialGeometry Lessons</Text-field>Lesson 1: Getting StartedLesson 2: ArithmeticOperationsLesson 3: Some DifferentialGeometry UtilitiesLesson 4: Lie Brackets and Lie DerivativesLesson 5: ExteriorDerivatives and the de Rham homotopy operatorLesson 6: TransformationsLesson 7: The Pushforward of a Vector (The Jacobian Map)Lesson 8: Pullbacks of Differential FormsLesson 9: Tensor AlgebraLesson 10: Tensor AnalysisLesson 11: Adapted FramesLesson 12: DGinfo
<Text-field style="Heading 2" layout="Heading 2" bookmark="bkmrk0">The LieAlgebra Lessons</Text-field>Lesson 1: Creating Lie AlgebrasLesson 2: Subalgebras and SeriesLesson 3: New Lie algebras from oldLesson 4: Lie algebra homomorphismsLesson 5 : QueryLesson 6: Decompositions