book:gdf:ch3 - Geometry of Differential Forms

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\textbf{[[book:gdf:preface|Preface]]}

\textbf{[[book:gdf:acknowledge|Acknowledgments]]}

\textbf{[[book:gdf:ch0|Chapter 0: Motivation]]}

\textbf{[[book:gdf:ch1|Chapter 1: Introduction]]}

\textbf{[[book:gdf:ch2|Chapter 2: The Algebra of Differential Forms]]}

=== Chapter 3: Hodge Duality ===

  * (ss)1. [[book:gdf:bases|Bases for Differential Forms]]
  * (ss)2. [[book:gdf:metric|The Metric Tensor]]
  * (ss)3. [[book:gdf:signature|Signature]]
  * (ss)4. [[book:gdf:metric2|Inner Products of Higher Rank Forms]]
  * (ss)5. [[book:gdf:schwarz|The Schwarz Inequality]]
  * (ss)6. [[book:gdf:orient|Orientation]]
  * (ss)7. [[book:gdf:hodge|The Hodge Dual]]
  * (ss)8. [[book:gdf:minkowski|Example: Minkowski 2-space]]
  * (ss)9. [[book:gdf:euclid|Example: Euclidean 2-space]]
  * (ss)10. [[book:gdf:hpolar|Example: Polar Coordinates]]
  * (ss)11. [[book:gdf:dotcross|Dot and Cross Product Revisited]]
  * (ss)12. [[book:gdf:pseudo|Pseudovectors and Pseudoscalars]]
  * (ss)13. [[book:gdf:general|The general case]]
  * (ss)14. [[book:gdf:hodge2|Technical Note on the Hodge Dual]]
  * (ss)15. [[book:gdf:decomp|Decomposable Forms]]

\textbf{[[book:gdf:ch4|Chapter 4: Differentiation of Differential Forms]]}

\textbf{[[book:gdf:ch5|Chapter 5: Integration of Differential Forms]]}

\textbf{[[book:gdf:ch6|Chapter 6: Connections]]}

\textbf{[[book:gdf:ch7|Chapter 7: Curvature]]}

\textbf{[[book:gdf:ch8|Chapter 8: Geodesics]]}

\textbf{[[book:gdf:ch9|Chapter 9: Applications]]}

\textbf{[[book:gdf:books|Annotated Bibliography]]}

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