In the 10th edition of his Systema naturae, Linnaeus introduced binomial nomenclature for animals. He had previously introduced binomial nomenclature for plants in his Species Plantarum (1753). In this edition Linnaeus also introduced the term mammalia. Technically, Linnaeus first applied the term in the thesis of one of his students: Hager, Johann, Natura pelagi, quam, consens. experient. Facult. Medic. in illustri Academia Upsaliensi, sub præsidio ... Caroli Linnæi ... publicæ ventilationi offert ... (Upsalla, 1757).

"Before 1758, most biological catalogues had used polynomial names for the taxa included, including earlier editions of Systema Naturae. The first work to consistently apply binomial nomenclature across the animal kingdom was the 10th edition of Systema Naturae. The International Commission on Zoological Nomenclature therefore chose 1 January 1758 as the "starting point" for zoological nomenclature, and asserted that the 10th edition of Systema Naturae was to be treated as if published on that date.^[1] Names published before that date are unavailable, even if they would otherwise satisfy the rules. The only work which takes priority over the 10th edition is Carl Alexander Clerck's Svenska Spindlar or Aranei Suecici, which was published in 1757, but is also to be treated as if published on January 1, 1758.^{[1]  (Wikipedia article on} 10th edition of Systema Naturae, accessed 3-2020)

Digital facsimile from the Biodiversity Heritage Library at this link.