wich book of pshysics got therory, excercises or both about kirchhoffs laws. any recommendations?
The first edition of Reitz and Milford, Foundations of Electromagnetic Theory (1960) covers this--maybe later editions also? If you want a lot of practice, I'd suggest looking at introductory circuits and electrical engineering texts.
Bollobas, Modern Graph Theory, for a beautiful perspective on the mathematics. For a more explicit account of the connection with homology theory (yes, "cycles" in circuits correspond to homological cycles), try Baumberg and Sternberg, A Course in Mathematics for Students of Physics.
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