By Kenneth Hoffman
Starting with an summary of the genuine quantity method, the textual content offers effects for subsets and capabilities regarding Euclidean house of n dimensions. It bargains a rigorous evaluate of the basics of calculus, emphasizing strength sequence expansions and introducing the speculation of complex-analytic features. next chapters conceal sequences of services, normed linear areas, and the Lebesgue period. They talk about lots of the simple houses of quintessential 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 swap of variable theorem. workouts look in the course of the e-book, and broad supplementary fabric contains a bibliography, record of symbols, index, and appendix with heritage in basic set theory
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Analysis in Euclidean Space (Dover Books on Mathematics) by Kenneth Hoffman