Vector Calculus

An Open Textbook (Michael Corral)

Vector Calculus by Michael Corral covers multivariable calculus: vectors, partial derivatives, multiple integrals, and line and surface integrals.

This is the web edition of the open textbook by Michael Corral, originally published at mecmath.net and also available on LibreTexts (Vector Calculus), licensed under the GNU Free Documentation License 1.2.

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Contents

  1. Preface
  2. 1. Vectors in Euclidean Space
  3. 2. Functions of Several Variables
  4. 3. Multiple Integrals
  5. 4. Line and Surface Integrals
  6. Appendix A: and Hints to Selected Exercises
  7. Appendix B: of the Right-Hand Rule for the Cross Product
  8. Appendix C: 3D Graphing with Gnuplot
  9. GNU Free Documentation License
  10. History