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'''Table of Contents''' | '''Table of Contents''' | ||

− | [[ | + | [[Laplace Operator Page 1 2020|1. Background: Laplace and the History of the Laplace Operator]] |

− | [[ | + | [[Laplace Operator Page 2 2020|2. Definition of the Laplace Operator]] |

− | [[Laplace Operator Page 3 2020|3. | + | [[Laplace Operator Page 3 2020|3. Coordinate Conversions]] |

− | [[Laplace Operator Page 4 2020|4. Applications | + | [[Laplace Operator Page 4 2020|4. Applications: Harmonic Functions]] |

− | [[Laplace Operator Page 5 2020|5. Applications | + | [[Laplace Operator Page 5 2020|5. Applications: Electric Potential]] |

− | [[Laplace Operator Page 6 2020|6. | + | [[Laplace Operator Page 6 2020|6. Example: Electric Potential]] |

− | [[Laplace Operator Page 7 2020|7. | + | [[Laplace Operator Page 7 2020|7. Applications: Image Processing]] |

− | [[Laplace Operator Page | + | [[Laplace Operator Page 9 2020|8. Vector Laplacian]] |

+ | |||

+ | [[Laplace Operator Page 8 2020|9. References and Links for Further Reading]] | ||

[[2020 Fall MA 271 Walther| Back to Topics List]] | [[2020 Fall MA 271 Walther| Back to Topics List]] |

## Latest revision as of 23:56, 6 December 2020

**The Laplace Operator**

Timothy Fuller and Lukas Denney

**Table of Contents**

1. Background: Laplace and the History of the Laplace Operator

2. Definition of the Laplace Operator

4. Applications: Harmonic Functions

5. Applications: Electric Potential

6. Example: Electric Potential

7. Applications: Image Processing