Differentially closed fields

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This article provides several definitions and results involving differential fields, with references for proofs but with few proofs. No new results appear here; rather the attempt has been made to display information in the setting in which it is needed in order to make the account in this volume self contained in terms of definitions, notation, and results. The reader seeking more details should refer to Marker’s and Pillay’s articles [Mar 96], [Pil 96].