A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists, Chapman & Hall/CRC Press, 2006 To book contents

T4. Orthogonal Curvilinear Systems of Coordinate

• T4.1. Arbitrary Curvilinear Coordinate Systems
  • T4.1.1. General Nonorthogonal Curvilinear Coordinates
  • T4.1.2. General Orthogonal Curvilinear Coordinates
• T4.2. Special Curvilinear Coordinate Systems
  • T4.2.1. Cylindrical Coordinates
  • T4.2.2. Spherical Coordinates
  • T4.2.3. Coordinates of a Prolate Ellipsoid of Revolution
  • T4.2.4. Coordinates of an Oblate Ellipsoid of Revolution
  • T4.2.5. Coordinates of an Elliptic Cylinder
  • T4.2.6. Conical Coordinates
  • T4.2.7. Parabolic Cylinder Coordinates
  • T4.2.8. Parabolic Coordinates
  • T4.2.9. Bicylindrical Coordinates
  • T4.2.10. Bipolar Coordinates (in Space)
  • T4.2.11. Toroidal Coordinates
• References for Chapter T1

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