Overview of the DifferentialGeometry Lessons
<Text-field bookmark="info" layout="Heading 2" style="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" layout="Heading 2" style="Heading 2">The DifferentialGeometry Lessons</Text-field>
Lesson 1: Getting Started
Lesson 2: ArithmeticOperations
Lesson 3: Some DifferentialGeometry Utilities
Lesson 4: Lie Brackets and Lie Derivatives
Lesson 5: ExteriorDerivatives and the de Rham homotopy operator
Lesson 6: Transformations
Lesson 7: The Pushforward of a Vector (The Jacobian Map)
Lesson 8: Pullbacks of Differential Forms
Lesson 9: Tensor Algebra
Lesson 10: Tensor Analysis
Lesson 11: Adapted Frames
Lesson 12: DGinfo
<Text-field layout="Heading 2" style="Heading 2">The LieAlgebra Lessons</Text-field>
Lesson 1: Creating Lie Algebras
Lesson 2: Subalgebras and Series
Lesson 3: New Lie algebras from old
Lesson 4: Lie algebra homomorphisms
Lesson 5 : Query
Lesson 6: Decompositions