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This preliminary chapter contains notations, definitions, and basic concepts needed for the study of Measure Theory and Functional Analysis. Most of this chapter is for reference and may be read only as needed. Included are concepts such as Convergence, Continuity, and Compactness in Euclidean Spaces. The theory of Euclidean Measure and sets of Measure Zero are covered. An overview is included of Integration sufficient to begin the study of Functional Analysis. The chapter finishes with topics such as Functions of Bounded Variation, Inequalities, along with a discussion of the Axiom of Choice.
The preliminaries of the Grafton edition and the first from ‘Jugge and Cawood’ show clear signs of cooperation and collaboration. The calendar quire in Grafton’s edition was printed for him by his former apprentice John Kingston; that in the other edition by Reyner Wolfe. In the main preliminary quire John Kingston printed three of the six sheets for Jugge and Cawood, one of which (probably a cancel) also appears in the Grafton edition. His contents list that backs the title-page is also identical in both editions. In the Grafton edition the other side of that sheet (with the almanack and the title-page with Grafton’s imprint) is also Kingston’s work, but Richard Jugge appears to have printed both the almanack and the title-page of ‘his’ edition. The evidence suggests that the two title-pages were printed on the same day.