By Kenneth Hoffman
Starting with an outline of the genuine quantity procedure, the textual content provides effects for subsets and features concerning Euclidean area of n dimensions. It deals a rigorous overview of the basics of calculus, emphasizing strength sequence expansions and introducing the speculation of complex-analytic capabilities. next chapters disguise sequences of capabilities, normed linear areas, and the Lebesgue period. They talk about lots of the uncomplicated houses of vital and degree, together with a quick examine orthogonal expansions. A bankruptcy on differentiable mappings concludes the textual content, addressing implicit and inverse functionality theorems and the swap of variable theorem. workouts seem in the course of the publication, and large supplementary fabric incorporates a bibliography, checklist of symbols, index, and appendix with history in simple set theory
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Analysis in Euclidean Space (Dover Books on Mathematics) by Kenneth Hoffman