Overview of the DifferentialGeometry Lessons - Maple Programming Help

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Overview of the DifferentialGeometry Lessons

 

Description

The DifferentialGeometry Lessons

The LieAlgebra Lessons

Description

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.

The DifferentialGeometry Lessons

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Lesson 1: Getting Started

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Lesson 2: ArithmeticOperations

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Lesson 3: Some DifferentialGeometry Utilities

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Lesson 4: Lie Brackets and Lie Derivatives

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Lesson 5: ExteriorDerivatives and the de Rham homotopy operator

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Lesson 6: Transformations

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Lesson 7: The Pushforward of a Vector (The Jacobian Map)

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Lesson 8: Pullbacks of Differential Forms

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Lesson 9: Tensor Algebra

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Lesson 10: Tensor Analysis

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Lesson 11: Adapted Frames

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Lesson 12: DGinfo

The LieAlgebra Lessons

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Lesson 1: Creating Lie Algebras

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Lesson 2: Subalgebras and Series

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Lesson 3: New Lie algebras from old

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Lesson 4: Lie algebra homomorphisms

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Lesson 5 : Query

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Lesson 6: Decompositions

 


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