On number theory and introducing the notion of fields (but only for subfields of the complex numbers):
Gustav Lejeune Dirichlet: Vorlesungen über Zahlentheorie, Vieweg und Sohn (1871) [eudml:204463]
Gustav Lejeune Dirichlet, edited by Richard Dedekind: Vorlesungen über Zahlentheorie, Cambridge University Press (1879, 2013) [doi;10.1017/CBO9781139237321, Google Books]
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