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I'm trying to find some inspiration for hard vector calculus problems that would be suitable for university physics students encountering the topic for the first time. Areas to cover are vector fields, multiple integration, line and surface integrals, and partial differential equations.

Any suggestions or sources are welcome.

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The following MSE link mentions these two books:

  1. Vector Calculus by Jerold E. Marsden and Anthony J. Tromba

  2. Vector Calculus by Peter Baxandall and Hans Liebeck

You can also try to check out Schaum's Outline of Vector Analysis.

I also found the following link which contains some challenging problems for vector calculus from Stewart.

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Jose Arnaldo Bebita Dris
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