By Kenneth Hoffman
Starting with an summary of the true quantity procedure, the textual content provides effects for subsets and services regarding Euclidean area of n dimensions. It bargains a rigorous evaluate of the basics of calculus, emphasizing strength sequence expansions and introducing the speculation of complex-analytic services. next chapters disguise sequences of features, normed linear areas, and the Lebesgue period. They speak about many of the simple houses of crucial and degree, together with a short examine orthogonal expansions. A bankruptcy on differentiable mappings concludes the textual content, addressing implicit and inverse functionality theorems and the switch of variable theorem. workouts look during the booklet, and huge supplementary fabric incorporates a bibliography, checklist of symbols, index, and appendix with historical past in undemanding set theory
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Analysis in Euclidean Space (Dover Books on Mathematics) by Kenneth Hoffman